Digest of the Non Linear Science Network, Volume 18, Number 21 November 15, 2018 Editor: Angel Jorba Topics: Workshop, Wave interactions and turbulence Conference, Advances in Qualitative Theory of Differential Equations 27th IUPAP Conference on Statistical Physics Spring school on Random Interfaces Threshold Networks Workshop Workshop on Model Reduction of Complex Dynamical Systems Tenure-Track Position, Mathematical Sciences, Salve Regina Univ Postdoc Position, Cardiovascular Modeling and Simulation Postdoc Positions, Young Research Groups Contents, Discrete & Continuous Dynamical Systems - A 39:1 Contents, Discrete and Continuous Dynamical Systems - B 24:1 Contents, Communications on Pure & Applied Analysis 18:2 Contents, Networks & Heterogeneous Media 13:4 Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: Workshop, Wave interactions and turbulence From: Christophe Josserand Date: Mon, 5 Nov 2018 18:08:48 +0100 Dear colleagues, we would like to draw your attention to the workshop "Wave interactions and turbulence" organised at Ecole Polytechnique from monday december 17th (starting after lunch) to wednesday december 19th (ending after lunch). Informations can be found at: http://www.off-ladhyx.polytechnique.fr/people/josserand/wavesinter.html Registration is free but mandatory for organization reasons and should be made by email (workshopx.waves@gmail.com). Sincerely yours, Sebastien Galtier, Christophe Josserand and Sergio Rica ------ Subject: Conference, Advances in Qualitative Theory of Differential Equations From: Joan Torregrosa Date: Wed, 07 Nov 2018 10:33:33 +0100 Dear colleague, We are organizing a conference in Castro Urdiales (Spain). Advances in Qualitative Theory of Differential Equations (Third Edition) http://www.gsd.uab.cat/aqtde2019 to be held from 17th to 21th of June 2019. This conference will be the third edition of a serie of conferences that took place in Castro Urdiales (http://www.gsd.uab.cat/aqtde2011) and Tarragona (http://www.gsd.uab.cat/aqtde2015) The confirmed speakers list is: * Francisco Braun (Universidade Federal de Sao Carlos) * Adriana Buica (Babes-Bolyai University) * Colin Christopher (University of Plymouth) * Bartomeu Coll (Universitat de les Illes Balears) * Peter De Maesschalck (Hasselt University) * Jaume Gine (Universitat de Lleida) * Renato Huzak (Hasselt University) * Jaume Llibre (Universitat Autonoma de Barcelona) * Francesc Ma\~nosas (Universitat Autonoma de Barcelona) * Pavao Mardesic (Universite de Bourgogne) * Dmitry Novikov (Weizmann institute of Science) * Daniel Peralta-Salas (Instituto de Ciencias Matematicas) * Maja Resman (University of Zagreb) * Valery Romanovsky (University of Maribor) * Pedro Torres (Universidad de Granada) * Sebastian Walcher (RWTH Aachen University) * Dongmei Xiao (Shanghai JiaoTong University) * Sergei Yakovenko (Weizmann Institute of Science) * Gaetano Zampieri (Universita degli Studi di Verona) * Xiang Zhang (Shanghai JiaoTong University) The scientific committee is formed by: * Claudio Buzzi (Universidade Estadual Paulista) * Peter De Maesschalck (Hasselt University) * Armengol Gasull (Universitat Autonoma de Barcelona) * Pavao Mardesic (Universite de Bourgogne) The main objective of this conference is to show the recent developments in qualitative theory of differential equations, especially in low dimension, and their applications to different branches of science. Thus, lectures will be devoted to current topics in bifurcation theory, Abelian integrals, control on the number of periodic orbits, Hilbert 16th problem, oscillations of the time function, Abel equations, integrability and related topics. It is planned the participation of around 50 researchers. The event aims to create a relaxed atmosphere, with few lectures and free time between them for fruitful discussions. In next weeks we will update the information in the web page of the conference about conference fee, deadlines for poster submissions, payments, accommodation hotels,... Then you will receive a second announcement. Best regards, Rafel, Joan and Jordi. ------ Subject: 27th IUPAP Conference on Statistical Physics From: statphys27 Date: Tue, 13 Nov 2018 10:16:01 -0300 Dear colleague This is the third announcement of the 27th IUPAP Conference on Statistical Physics, StatPhys27, which will be held in Buenos Aires, Argentina, on July 8-12, 2019. We are pleased to announce that registration for the conference at the "super early" fee has been enabled. Please visit https://statphys27.df.uba.ar/registration.html to register. The submission of contributions and the possibility of requesting financial support will be enabled soon. Looking forward to seeing you in Buenos Aires next year! Best regards Silvina Ponce Dawson Local Organizing Committee, StatPhys27 ------ Subject: Spring school on Random Interfaces From: Dirk Blomker Date: Tue, 13 Nov 2018 13:55:10 +0100 Dear all, this is the second announcement for the spring school on *Random Interfaces* to be held at the University of Augsburg, Germany, for three full days from March 13th to March 15th, 2019. The school will focus on random interfaces, both continuous (approached by means of stochastic partial differential equations) and discrete (together with their hydrodynamic limits). The school will feature a main course by *Tadahisa Funaki* (Waseda University/University of Tokyo), a minicourse by *Fabio Toninelli* (Universite Claude Bernard Lyon 1) and an invited lecture by *Dimitra Antonopoulou* (University of Chester). A poster session for participants is also foreseen. This spring school is intended for PhD students and young researchers, but open for everyone. Registration to the school is free, but compulsory for organisatorial purposes. Limited funds are available to offer financial support to some selected students and young researchers (post-docs). *The deadline for application is 15th December 2018.* More information and the registration form are available on the website https://www.math.uni-augsburg.de/de/prof/ana/Workshops_Tagungen/Spring-School-Random-Interfaces/index.html We are looking forward to seeing you in Augsburg. The organisers, Lisa Beck, Luigi Amedeo Bianchi, Dirk Blomker, Franco Flandoli, Marco Romito, Dario Trevisan ------ Subject: Threshold Networks Workshop From: Stephen Coombes Date: Fri, 16 Nov 2018 17:20:15 +0000 First announcement Threshold Networks July 22 - 24, 2019 Nottingham, UK https://www.nottingham.ac.uk/conference/fac-sci/maths-sci/threshold-networks/ This workshop will bring together a community of people interested in both networks and dynamics, with an eye to both mathematical tractability and applications to biology, engineering, physics, and the social sciences. The emphasis will be on 'thresholds' in their broadest sense as exemplified by node dynamics or interactions that are described by simple, yet possibly non-smooth or discontinuous switch-like processes. The workshop will cover both theory and applications. The meeting will have no parallel sessions, and it is expected to involve around 60 participants (with 12 main speakers) and contributed poster presentations. Speakers: Alex Arenas, Universidad Rovira i Virgili, Spain Mario Di Bernardo, University of Bristol, UK Ginestra Bianconi, Queen Mary University of London, UK Des Higham, University of Strathclyde, UK Renaud Lambiotte, University of Oxford, UK Naoki Masuda, University of Bristol, UK Peter Mucha, University of North Carolina, USA Sarah Muldoon, University at Buffalo, USA Yamir Moreno, University of Zaragoza, Spain Important dates Registration deadline: 1st June 2019 Poster abstract submission deadline: 12th April 2019. Notification of acceptance: 1st May 2019 The registration fee for the conference is 100.00 GBP. A "Tutorial Day" (covering key concepts in dynamical systems and network science) will also take place prior to the meeting (on July 21). Some financial assistance may be available to assist graduate students who attend both the training workshop and the conference. Further details of this meeting and how to register may be found at https://www.nottingham.ac.uk/conference/fac-sci/maths-sci/threshold-networks/ Scientific Organisers Yi Ming Lai, Rudiger Thul, and Stephen Coombes, University of Nottingham Mason A. Porter, UCLA Enquiries should be sent to: ThresholdNetworks2019@nottingham.ac.uk Stephen Coombes Professor of Applied Mathematics School of Mathematical Sciences Nottingham, UK Tel: 0115 846 7836 http://www.maths.nott.ac.uk/~sc/ ------ Subject: Workshop on Model Reduction of Complex Dynamical Systems From: Tobias Breiten Date: November 13, 2018 The 4th Workshop on Model Reduction of Complex Dynamical Systems (MODRED 2019) will take place from August 28-30, 2019 in Graz, Austria. The conference continues a series of model reduction conferences previously organized in Berlin (2010), Magdeburg (2013), and Odense (2017). Scientific topics include computational methods for model order reduction of dynamical systems, data-driven methods, digital twinning, model reduction methods in applications and surrogate modelling for design and optimization. Keynote speakers: Serkan Gugercin (Virginia Tech), Bernard Haasdonk (University of Stuttgart), Dirk Hartmann (Siemens), Laura Iapichino (TU Eindhoven), J. Nathan Kutz (University of Washington). Proceedings: A special issue on model reduction of complex dynamical systems will appear in the Springer International Series of Numerical Mathematics. Early bird registration (until June 30, 2019) and abstract submission for contributed talks (until March, 31, 2019) is now open. More details can be found under https://imsc.uni-graz.at/modred2019/index.html ------ Subject: Tenure-Track Position, Mathematical Sciences, Salve Regina Univ From: Ernest Rothman Date: November 16, 2018 The Department of Mathematical Sciences at Salve Regina University invites applications for a tenure track position at the Assistant Professor level starting in the fall 2019 semester. The department offers a major and a minor in mathematics, an interdisciplinary minor in mathematical finance, and provides the mathematics and computer science components of dual 3+2 (BA/BS) and 3+3 (BA/MS) engineering programs with Washington University in St. Louis. Additionally, the department offers courses in the core curriculum and courses that constitute the mathematics, statistics, and computer science components of other programs at the university. The Mathematical Sciences Department is in the early stages of developing minors in computer science, and data science and analytics. Duties include teaching mathematics at all undergraduate levels, advising students, mentoring student research, and serving on committees. Candidates who can, additionally, teach computer science or data science courses will be preferred. The successful candidate is expected to engage in research and scholarship, for example, publications in peer-reviewed journals, conference presentations, grant activity, development of industrial partnerships, development of interdisciplinary partnerships with other academic departments; and to participate in university service and university outreach programs. Candidates must have a doctorate in Applied Mathematics, Computer Science, Data Science, Mathematics, or Statistics by fall 2019, and evidence of strong teaching ability. While candidates with research interests in any area of mathematics, computer science, data science, or statistics are welcome to apply, the successful candidate will be able to teach a wide range of undergraduate mathematics; preference will be given to candidates who demonstrate an interest and ability to help develop a minor in computer science and/or data science. Applicants must apply online (link shown below) for any open staff and faculty positions by providing a cover-letter, resume, teaching statement, and research statement. Pre-employment background checks and reference checks are required of successful candidates. Salve Regina University participates in E-verify. https://salve.interviewexchange.com/jobofferdetails.jsp?JOBID=104950 ------ Subject: Postdoc Position, Cardiovascular Modeling and Simulation From: Boyce Griffith Date: November 13, 2018 Applications are invited for one or more postdoctoral research associate positions within the Carolina Center for Interdisciplinary Applied Mathematics at the University of North Carolina at Chapel Hill. We are particularly seeking individuals who are interested in joining a multidisciplinary team to develop multiscale fluid-structure interaction models of atrial fibrillation (AFib) for understanding and, ultimately, predicting clotting risk in AFib patients. This NIH-funded project includes substantial collaborations with UNC School of Medicine, Duke University and Duke School of Medicine, and the University of Utah. Other potential projects including the development, verification, and validation of computer models of cardiovascular medical devices within a project funded by the NSF-FDA Scholar-in-Residence at FDA program. Please provide via https://www.mathjobs.org/jobs/jobs/13152 (1) a vita; (2) a brief statement of research interests; and (3) three letters of reference. Applicants must also apply online at http://unc.peopleadmin.com/postings/151538 to be considered for this position. A PhD in mathematics, computer science, bioengineering, or a related field is required. Prior experience in computational fluid dynamics, computational mechanics, cardiac electrophysiology, or thrombosis is desirable. Ideally, applicants will also have substantial experience with scientific computing using compiled software languages (C, C++, Fortran). For further information, please contact: Boyce Griffith Associate Professor of Mathematics Adjunct Associate Professor of Applied Physical Sciences and of Biomedical Engineering University of North Carolina at Chapel Hill email: boyceg@email.unc.edu web: griffith.web.unc.edu ------ Subject: Postdoc Positions, Young Research Groups From: Carolin Gietz Date: November 09, 2018 The Cluster of Excellence Mathematics M\unster: Dynamics - Geometry - Structure offers several Postdoctoral Positions and Young Research Groups (salary level E13 TV-L) in all fields of mathematics related to the cluster. The duration of these positions is up to 3 years, for research groups up to 4 years. Expected starting date is no later than October 2019. Generally there are no teaching obligations but such opportunities are provided if desired by the candidates. The main selection criterion is scientific excellence. For Postdoctoral Positions you apply on your own. Applications for Young Research Groups are applications from groups of two or three postdoctoral researchers, who plan to collaborate intensively on research topics relevant to the cluster. Your application should contain a cover letter, your CVs (with the grade for the dissertation if applicable), a publication list and a research plan relating to the research of Mathematics Munster. Moreover, you have to choose one or two of the Research Areas as well as one or two potential local postdoctoral mentors from among the Munster based professors listed as investigators of the respective research area. Applicants who have not yet completed their PhD are requested to include a two-page outline of their dissertation project comprising results up to now. Please arrange for two letters of recommendation to be sent within the deadline to mm.applications@uni-muenster.de. The University of Munster is an equal opportunity employer and is committed to increasing the proportion of women academics. Consequently, we actively encourage applications by women. Female candidates with equivalent qualifications and academic achievements will be preferentially considered within the framework of the legal possibilities. We also welcome applications from candidates with severe disabilities. Disabled candidates with equivalent qualifications will be preferentially considered. If you have any questions please contact mm.applications@uni-muenster.de. Please apply using our online application form at: www.uni-muenster.de/MathematicsMuenster/careers/postdocs The evaluation for the current application round will start at December 1st 2018. Later applications may also be considered. ------ Subject: Contents, Discrete & Continuous Dynamical Systems - A 39:1 From: zhoucuixin Date: Sat, 10 Nov 2018 18:15:53 +0800 (CST) Discrete & Continuous Dynamical Systems - A (DCDS-A) January 2019, Volume 39, Issue 1 http://aimsciences.org/journal/1078-0947/2019/39/1 1. Markov-Dyck shifts, neutral periodic points and topological conjugacy Wolfgang Krieger and Kengo Matsumoto 2019, 39(1): 1-18 2. Combined effects of the spatial heterogeneity and the functional response Yu-Xia Wang and Wan-Tong Li 2019, 39(1): 19-39 3. Single phytoplankton species growth with light and crowding effect in a water column Danfeng Pang, Hua Nie and Jianhua Wu 2019, 39(1): 41-74 4. Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form H=H1(x)+H2(y)H=H1(x)+H2(y) Jaume Llibre, Y. Paulina Martinez and Claudio Vidal 2019, 39(1): 75-113 5. Core entropy of polynomials with a critical point of maximal order Domingo Gonzalez and Gamaliel Ble 2019, 39(1): 115-130 6. The mean field analysis of the Kuramoto model on graphs I. The mean field equation and transition point formulas Hayato Chiba and Georgi S. Medvedev 2019, 39(1): 131-155 7. Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces Qing Liu and Atsushi Nakayasu 2019, 39(1): 157-183 8. Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations Anhui Gu, Kening Lu and Bixiang Wang 2019, 39(1): 185-218 9. Asymptotic behavior in time of solution to the nonlinear Schrodinger equation with higher order anisotropic dispersion Jean-Claude Saut and Jun-Ichi Segata 2019, 39(1): 219-239 10. Adaptive isogeometric methods with hierarchical splines: An overview Cesare Bracco, Annalisa Buffa, Carlotta Giannelli and Rafael Vazquez 2019, 39(1): 241-262 11. Double minimality, entropy and disjointness with all minimal systems Piotr Oprocha 2019, 39(1): 263-275 12. Cauchy problem for the Kuznetsov equation Adrien Dekkers and Anna Rozanova-Pierrat 2019, 39(1): 277-307 13. The variational discretization of the constrained higher-order Lagrange-Poincare equations Anthony Bloch, Leonardo Colombo and Fernando Jimenez 2019, 39(1): 309-344 14. Convergence and stability of generalized gradient systems by Lojasiewicz inequality with application in continuum Kuramoto model Zhuchun Li, Yi Liu and Xiaoping Xue 2019, 39(1): 345-367 15. Qualitative properties of positive solutions for mixed integro-differential equations Patricio Felmer and Ying Wang 2019, 39(1): 369-393 16. On the convergence of a stochastic 3D globally modified two-phase flow model Theodore Tachim Medjo 2019, 39(1): 395-430 17. An application of Moser's twist theorem to superlinear impulsive differential equations Yanmin Niu and Xiong Li 2019, 39(1): 431-445 18. Normalized solutions of higher-order Schrodinger equations Aliang Xia and Jianfu Yang 2019, 39(1): 447-462 19. The conditional variational principle for maps with the pseudo-orbit tracing property Zheng Yin and Ercai Chen 2019, 39(1): 463-481 20. Uniqueness of limit cycles for quadratic vector fields Jose Luis Bravo, Manuel Fernandez, Ignacio Ojeda and Fernando Sanchez 2019, 39(1): 483-502 21. Non-local sublinear problems: Existence, comparison, and radial symmetry Antonio Greco and Vincenzino Mascia 2019, 39(1): 503-519 22. Non-hyperbolic behavior of geodesic flows of rank 1 surfaces Katrin Gelfert 2019, 39(1): 521-551 23. The radial mass-subcritical NLS in negative order Sobolev spaces Rowan Killip, Satoshi Masaki, Jason Murphy and Monica Visan 2019, 39(1): 553-583 24. Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems Paolo Gidoni and Alessandro Margheri 2019, 39(1): 585-605 25. Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces Ze Li and Lifeng Zhao 2019, 39(1): 607-638 26. Fundamental solutions and decay of fully non-local problems Juan C. Pozo and Vicente Vergara 2019, 39(1): 639-666 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - B 24:1 From: Susan Cummins Date: Wed, 7 Nov 2018 08:44:18 -0600 Discrete and Continuous Dynamical Systems - Series B (DCDS-B) Volume: 24, Number: 1 January 2019 http://aimsciences.org/journal/1531-3492/2019/24/1 1. Preface Pages: i-i Xiaoming He, Eric Kaufmann, Steve Pankavich and Erik Van Vleck 2. Modulus metrics on networks Pages: 1-17 Nathan Albin, Nethali Fernando and Pietro Poggi-Corradini 3. Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems Pages: 19-54 Mahboub Baccouch 4. A Comparison of some numerical conformal mapping methods for simply and multiply connected domains Pages: 55-82 Mohamed Badreddine, Thomas K. DeLillo and Saman Sahraei 5. Balanced truncation model reduction of a nonlinear cable-mass PDE system with interior damping Pages: 83-107 Belinda A. Batten, Hesam Shoori, John R. Singler and Madhuka H. Weerasinghe 6. Convergence rates for semistochastic processes Pages: 109-125 James Broda, Alexander Grigo and Nikola P. Petrov 7. A dimension splitting and characteristic projection method for three-dimensional incompressible flow Pages: 127-147 Hao Chen, Kaitai Li, Yuchuan Chu, Zhiqiang Chen and Yiren Yang 8. A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations Pages: 149-182 Wenbin Chen, Wenqiang Feng, Yuan Liu, Cheng Wang and Steven M. Wise 9. Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces Pages: 183-195 Chao Deng and Tong Li 10. Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation Pages: 197-209 Aslihan Demirkaya and Milena Stanislavova 11. Global regularity results for the climate model with fractional dissipation Pages: 211-229 Boqing Dong, Wenjuan Wang, Jiahong Wu and Hui Zhang 12. A comparative study on nonlocal diffusion operators related to the fractional Laplacian Pages: 231-256 Siwei Duo, Hong Wang and Yanzhi Zhang 13. An FEM-MLMC algorithm for a moving shutter diffraction in time stochastic model Pages: 257-272 Mahadevan Ganesh, Brandon C. Reyes and Avi Purkayastha 14. A period doubling route to spatiotemporal chaos in a system of Ginzburg-Landau equations for nematic electroconvection Pages: 273-296 Iuliana Oprea and Gerhard Dangelmayr 15. Predicting and estimating probability density functions of chaotic systems Pages: 297-319 Noah H. Rhee, PaweL Gora and Majid Bani-Yaghoub 16. Impact of spatially heterogeneous temperature on the dynamics of dengue epidemics Pages: 321-349 Naveen K. Vaidya, Xianping Li and Feng-Bin Wang 17. A locking free Reissner-Mindlin element with weak Galerkin rotations Pages: 351-361 Ruishu Wang, Lin Mu and Xiu Ye 18. Long-time dynamics for a non-autonomous Navier-Stokes-Voigt equation in Lipschitz domains Pages: 363-386 Xinguang Yang, Baowei Feng, Thales Maier de Souza and Taige Wang 19. Two-grid finite element method for the stabilization of mixed Stokes-Darcy model Pages: 387-402 Jiaping Yu, Haibiao Zheng, Feng Shi and Ren Zhao 20. Lower and upper bounds of Laplacian eigenvalue problem by weak Galerkin method on triangular meshes Pages: 403-413 Qilong Zhai and Ran Zhang ------ Subject: Contents, Communications on Pure & Applied Analysis 18:2 From: editorial Date: Fri, 9 Nov 2018 15:05:40 -0600 Communications on Pure & Applied Analysis (CPAA) March 2019, Volume 18, Issue 2 http://216.227.221.143/journal/1534-0392/2019/18/2 1. On the one-dimensional continuity equation with a nearly incompressible vector field Nikolay A. Gusev 2019, 18(2): 559-568 doi: 10.3934/cpaa.2019028 2. Well-posedness of axially symmetric incompressible ideal magnetohydrodynamic equations with vacuum under the non-collinearity condition Xumin Gu 2019, 18(2): 569-602 doi: 10.3934/cpaa.2019029 3. Well-posedness issues for some critical coupled non-linear Klein-Gordon equations Radhia Ghanmi and Tarek Saanouni 2019, 18(2): 603-623 doi: 10.3934/cpaa.2019030 4. On Positive solutions of integral equations with the weighted Bessel potentials Mingchun Wang, Jiankai Xu and Huoxiong Wu 2019, 18(2): 625-641 doi: 10.3934/cpaa.2019031 5. Continuous data assimilation for the 3D primitive equations of the ocean Yuan Pei 2019, 18(2): 643-661 doi: 10.3934/cpaa.2019032 6. Infinite energy solutions for the (3+1)-dimensional Yang-Mills equation in Lorenz gauge Hartmut Pecher 2019, 18(2): 663-688 doi: 10.3934/cpaa.2019033 7. On blow-up solutions to the focusing mass-critical nonlinear fractional Schrodinger equation Van Duong Dinh 2019, 18(2): 689-708 doi: 10.3934/cpaa.2019034 8. Weak solutions to stationary equations of heat transfer in a magnetic fluid Youcef Amirat and Kamel Hamdache 2019, 18(2): 709-734 doi: 10.3934/cpaa.2019035 9. Steady flows of an Oldroyd fluid with threshold slip Evgenii S. Baranovskii 2019, 18(2): 735-750 doi: 10.3934/cpaa.2019036 10. Compressible viscous flows in a symmetric domain with complete slip boundary: The nonlinear stability of uniformly rotating states with small angular velocities Xin Liu 2019, 18(2): 751-794 doi: 10.3934/cpaa.2019037 11. Stochastic parabolic Anderson model with time-homogeneous generalized potential: Mild formulation of solution Hyun-Jung Kim 2019, 18(2): 795-807 doi: 10.3934/cpaa.2019038 12. Long term behavior of a random Hopfield neural lattice model Xiaoying Han, Peter E. Kloeden and Basiru Usman 2019, 18(2): 809-824 doi: 10.3934/cpaa.2019039 13. Attractors of the strongly damped Kirchhoff wave equation on R^N Pengyan Ding and Zhijian Yang 2019, 18(2): 825-843 doi: 10.3934/cpaa.2019040 14. An extension of the concept of exponential dichotomy in Frechet spaces which is stable under perturbation Eder Ritis Aragao Costa 2019, 18(2): 845-868 doi: 10.3934/cpaa.2019041 15. A general approach to weighted Lp Rellich type inequalities related to Greiner operator Ismail Kombe and Abdullah Yener 2019, 18(2): 869-886 doi: 10.3934/cpaa.2019042 16. Vanishing viscosity limit of 1d quasilinear parabolic equation with multiple boundary layers Jing Wang and Lining Tong 2019, 18(2): 887-910 doi: 10.3934/cpaa.2019043 17. Attractors and their stability on Boussinesq type equations with gentle dissipation Zhijian Yang, Pengyan Ding and Xiaobin Liu 2019, 18(2): 911-930 doi: 10.3934/cpaa.2019044 18. Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation Anupam Sen and T. Raja Sekhar 2019, 18(2): 931-942 doi: 10.3934/cpaa.2019045 19. Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations Jianjun Chen and Geng Lai 2019, 18(2): 943-958 doi: 10.3934/cpaa.2019046 20. Fractal analysis of canard cycles with two breaking parameters and applications Renato Huzak and Domagoj Vlah 2019, 18(2): 959-975 doi: 10.3934/cpaa.2019047 21. A nonlinear model for marble sulphation including surface rugosity: Theoretical and numerical results Elena Bonetti, Cecilia Cavaterra, Francesco Freddi, Maurizio Grasselli and Roberto Natalini 2019, 18(2): 977-998 doi: 10.3934/cpaa.2019048 ------ Subject: Contents, Networks & Heterogeneous Media 13:4 From: editorial Date: Tue, 13 Nov 2018 15:31:42 -0600 Networks & Heterogeneous Media (NHM) December 2018, Volume 13, Issue 4 http://216.227.221.143/journal/1556-1801/2018/13/4 1. A Godunov type scheme for a class of LWR traffic flow models with non-local flux Jan Friedrich, Oliver Kolb and Simone Gottlich 2018, 13(4): 531-547 2. Long time behavior for the visco-elastic damped wave equation in R^n_+ and the boundary effect Linglong Du 2018, 13(4): 549-565 3. Influence prediction for continuous-time information propagation on networks Shui-Nee Chow, Xiaojing Ye, Hongyuan Zha and Haomin Zhou 2018, 13(4): 567-583 4. On boundary optimal control problem for an arterial system: First-order optimality conditions Ciro D'Apice, Olha P. Kupenko and Rosanna Manzo 2018, 13(4): 585-607 5. Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface Markus Gahn, Maria Neuss-Radu and Peter Knabner 2018, 13(4): 609-640 6. Optimal model switching for gas flow in pipe networks Fabian Ruffler, Volker Mehrmann and Falk M. Hante 2018, 13(4): 641-661 7. Fluvial to torrential phase transition in open canals Maya Briani and Benedetto Piccoli 2018, 13(4): 663-690 8. Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs Joachim von Below and Jose A. Lubary 2018, 13(4): 691-717