Digest of the Non Linear Science Network, Volume 12, Number 02 February 1, 2012 Editor: Angel Jorba Topics: Workshop on Interactions between Dynamical Systems and PDEs 2nd Ph.D. School on Mathematical Modeling of Complex Systems Conference, Dynamical Systems: 100 years after Poincare 5th Chaotic Modeling and Simulation International Conference Workshop on Generalized Solutions of Evolution Equations Postdoc Position, Math Biology, INRIA, France Postdoc/PhD Position, Num Math, Univ of Groningen Faculty Positions, Santiago, Chile Contents, Kinetic and Related Models 5:1 Contents, Advances in Mathematics of Communications 6:1 Contents, Physica D: Nonlinear Phenomena 241:5 Contents, Physica D: Nonlinear Phenomena 241:6 Contents, Nonlinearity 25:2 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 on Interactions between Dynamical Systems and PDEs From: Raquel Caparros Date: Thu, 19 Jan 2012 13:41:42 +0100 Tenth WORKSHOP ON INTERACTIONS BETWEEN DYNAMICAL SYSTEMS AND PARTIAL DIFFERENTIAL EQUATIONS (JISD2012) (Jornades d'Interaccio entre Sistemes Dinamics i Equacions en Derivades Parcials) Barcelona, May 28^th - June 1^st , 2012 http://www.ma1.upc.edu/recerca/seminaris/JISD2012/indexjisd2012.html There will be four main courses, some seminars, communications and posters. The four courses will be taught by M. Capinski (Geometric Methods for Invariant Manifolds in Dynamical Systems), M. Gidea (Aubry Mather Theory from a Topological Viewpoint ), H. Shahgholian (Obstacle Type Free Boundaries (Theory and Applications)), and E. Valdinoci ((Non) Local Phase Transition Equations), within the Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME) of the UPC Graduate School. The JISD2012 are organized by Xavier Cabre (ICREA-UPC), Amadeu Delshams (UPC), Maria del Mar Gonzalez (UPC) and Tere M. Seara (UPC). The Scientific Committee is: - Massimiliano Berti (Univ. Federico II) - Rafael de la Llave (Univ. Texas Austin) - Jean-Michel Roquejoffre (Univ. Paul Sabatier. Toulouse) - Alfonso Sorrentino (Univ. Of Cambridge) - Marco Antonio Teixeira (Univ. Estatal de Campinas) - Juan Luis Vazquez (UAM) There will be some *financial support* available for this edition. Deadline to apply for financial support: March 19^th , 2012. ------ Subject: 2nd Ph.D. School on Mathematical Modeling of Complex Systems From: sicc Date: Sun, 22 Jan 2012 18:05:35 -0700 2nd Ph.D. School on Mathematical Modeling of Complex Systems Pescara, Italy, 16 - 28 July, 2012 In the framework of the European research and training activities in Complexity Science we announce the continuation of a series of annual Ph.D. Schools on "Mathematical Modeling of Complex Systems". The first event took place in Patras, Greece, in the summer of 2011 (see http://www.math.upatras.gr/~phdsch11) and the second one is announced as follows: Time: 16 - 28 July, 2012 Location: International Center for Nonlinear Dynamics and Complex Systems, University of Chieti Pescara (http://www.nodycosy.unich.it/). Co-organized by: SICC (Italian Society for Chaos and Complexity, http://www.sicc-it.org) This Ph.D. School is intended for postgraduate students from all over Europe and offers four coherent lecture courses, taught by experts in each field, on: I. Foundations of Complex Networks II. Statistical Physics of Complex Systems III. Complex Systems in Biology IV. Complexity in Economics and Social Sciences Scientific Organizing Committee: Prof. Jeff Johnson (British Open University, President of European Complex Systems Society), Prof. Tassos Bountis (University of Patras), Prof. Manuel Velarde (University Complutense of Madrid), Prof. Carlo Mari (Chairman, University of Chieti-Pescara), Assoc. Prof. Angela De Sanctis (University of Chieti-Pescara). A. How to Apply European postgraduate students aiming to obtain a Master's or Ph.D. degree in any scientific area involving complex systems are invited to apply to the Chairman of the Scientific Organizing Committee at c.mari@unich.it (or at the School's website when it becomes available). Each applicant is asked to submit a CV, including a transcript of grades obtained in his/her undergraduate studies, as well as a personal statement explaining why the School will be useful to his/her current studies. Based on the above information, the Scientific Organizing Committee will select 25-30 applicants each year. To obtain a Certificate of Participation the selected students should attend all lectures and exercise sessions of the School (see Preliminary Program). Students who also undertake to do a project on a special topic belonging to any one of the 4 courses, will have their project graded by one of the instructors and depending on their performance may receive a Certificate of Participation with Distinction. All interested students are invited to submit their application at the latest by April 15, 2012, following the instructions posted on the School's website. They will be informed about the decision of the Scientific Organizing Committee regarding their acceptance by the end of April 2012. The selected students will be asked to download and read preparatory course material provided by the instructors and placed on the School's website by the end of May 2012. In this way, the students will be better prepared to follow the lectures and exercise sessions of the School. B. Attendance Fee, Living Expenses, and Financial Support The attendance fee for each student participating in the Ph.D. School is 300 euro. This includes: a) Participation in all lectures and exercise sessions b) Official folder and all printed material related to the Ph.D. School c) Participation in the festive School Dinner, Saturday July 21, and the School Excursion, Sunday July 22, d) Light lunches (sandwiches and refreshments) and all coffee breaks during the School. Comfortable individual rooms will be provided to the students at comfortable seaside hotels of Pescara. The cost is approximately 30 euro per day for a double room and 45 euro per day for a single room. The School will provide limited financial support to some of the selected students, on the basis of their need, to cover living expenses and part of the attendance fee. C. List of Courses Course Title I. Foundations of Complex Networks 1) Baruch Barzel (Boston) 2) Jeff Johnson (London) II. Physics of Complex Systems 1) Constantino Tsallis (Rio de Janeiro) 2) Tassos Bountis (Patras) 3) Ko van der Weele (Patras) III. Complex Systems in Biology 1) Dr Alessandro De Moura (Aberdeen) 2) Anastasios Bezerianos (Patras) 3) Fabio Babiloni (Roma) IV. Complexity in Economics and Social Sciences 1) Laura Gardini (Urbino) 2) Rosaria Conte (Roma) 3) Carlo Mari (Pescara) SICC - Societa' Italiana Caos e Complessita' e-mail info@sicc-it.org Web http://www.sicc-it.org ------ Subject: Conference, Dynamical Systems: 100 years after Poincare From: Date: Thu, 02 Feb 2012 21:32:19 +0100 Dear colleagues, I am pleased to announce the following international conference: Conference: Dynamical Systems: 100 years after Poincare. Dates: 3-7 September, 2012 Venue: Gijon (Spain) http://en.turismo.gijon.es/ Organizers: Group of Dynamical Systems at the University of Oviedo Web: www.unioviedo.es/ds100Poincare Early registration: 15/02/2012-15/06/2012 Abstracts submission: 15/02/2012-30/04/2012 The aim is to bring together a broad group of scientists working in the field of dynamical systems on the occasion of the 100th anniversary of the death of Henri Poincare. All topics related with dynamical systems are considered but focusing on local and global bifurcations in discrete and continuous dynamical systems, planar vector fields and celestial mechanics. Applications to real-world problems will be highlighted. The conference will promote the diffusion of recent developments and future perspectives. There will be ten keynote speakers, sixty-four 30-minutes contributed talks in two parallel sessions and also two poster sessions. Plenary speakers are experts chosen from different areas of Dynamical Systems. In behalf of the Organizing Committee, Santiago Iba\~nez ------ Subject: 5th Chaotic Modeling and Simulation International Conference From: "Secretariat@cmsim.org" Date: Sat, 21 Jan 2012 22:18:27 +0200 You are kindly invited to participate to the forthcoming Nonlinear Analysis Conference titled: 5th Chaotic Modeling and Simulation International Conference (CHAOS2012), Athens Greece, 12-15 June 2012 (http://www.cmsim.org ). * If you already have submitted your contribution ignore this message. However, you can visit the Journal of Chaotic Modeling and Simulation at: http://www.cmsim.eu The forthcoming International Conference (CHAOS2012) on Chaotic Modeling, Simulation and Applications will take place in Athens Greece (12-15 June 2012). The general topics and the special sessions proposed for the Conference include but are not limited to: Chaos and Nonlinear Dynamics, Stochastic Chaos, Chemical Chaos, Data Analysis and Chaos, Hydrodynamics, Turbulence and Plasmas, Optics and Chaos, Chaotic Oscillations and Circuits, Chaos in Climate Dynamics, Geophysical Flows, Biology and Chaos, Neurophysiology and Chaos, Hamiltonian Systems, Chaos in Astronomy and Astrophysics, Chaos and Solitons, Micro- and Nano- Electro-Mechanical Systems, Neural Networks and Chaos, Ecology and Economy. The publications of the conference include: 1. The Book of Abstracts in Electronic and in Paper form 2. Electronic Proceedings in CD and in the web in a permanent website 3. Publication in the Journal of "Chaotic Modeling and Simulation". Please see and download the Papers of the October 2011 Issue at: http://www.cmsim.eu/journal_issues.html For more information and Abstract/Paper submission and Special Session Proposals please visit the conference website at: http://www.cmsim.org/ Kind regards The Conference Secretariat secretariat@cmsim.org ------ Subject: Workshop on Generalized Solutions of Evolution Equations From: Lehel Banjai Date: Sun, 22 Jan 2012 08:53:20 -0500 Hereby we announce a three-day meeting with the title: "Generalized Solutions of Evolution Equations: Theory, Numerical Approximation, and Applications" that will take place in Leipzig at the Max Planck Institute for Mathematics in the Sciences from 12th-14th April 2012. The invited speakers will be: András Batkai (ELTE TTK, Budapest) Ricardo Estrada (Louisiana State University, USA) Cesar Palencia (University of Valladolid, Spain) Stevan Pilipovic (University of Novi Sad, Serbia) The topics include but are not restricted to: - evolution equations - operator semigroups - numerical methods and regularity theory There will be no conference fee and the deadline for abstract submission is 27th February. The registration and abstracts can be emailed to banjai@mis.mpg.de. For further information see: http://www.mis.mpg.de/scicomp/gsee/ Organizers:Frank Neubrander, Louisiana State U., Lehel Banjai, MPI Leipzig ------ Subject: Postdoc Position, Math Biology, INRIA, France From: Arnaud Tonnelier Date: Sat, 21 Jan 2012 04:33:16 -0500 INRIA (Grenoble, France) invites applications for a post-doctoral position in Mathematical Biology. Title : From smooth sigmoidal-type interactions to switch-like behavior Subject : Applications are invited for a postdoctoral position to carry out theoretical and computational research on discontinuous dynamical systems (with switch-like interactions). Sigmoidal-type interactions are ubiquitous in biology, from the firing rate response of neurons and gene regulatory networks models to the Michaelis-Menten model for enzymes kinetics. A common approach to analyze such models is to replace the sigmoid functions by step functions leading to switch-like nonlinearities. However the use of discontinuous dynamical systems raises numerical and mathematical problems mainly due to the occurrence of the so-called sliding motion during which the solution slides along a threshold. The goal of this project is to compare the flow induced by the sigmoidal functions with the one created by the associated nonsmooth system. In particular, one open question is the link between the limit solution when sigmoids approach step functions and the solution of the discontinuous system. - Skills: The ideal candidate should have a PhD in Applied Mathematics and should have an interest in applications in biology. The applicant should be able to perform independent research. - Starting date and length: The position is funded for one-year with a gross monthly salary of 2264 euros and may be extended for up to 18 months. Located in the earth of the French Alps, Grenoble is an ideal place for skiing, climbing, hiking and all types of mountains sports. Application can be made on-line through http://www.inria.fr/en/institute/recruitment/offers/post- doctoral-research-fellowships/campaign-2012 ------ Subject: Postdoc/PhD Position, Num Math, Univ of Groningen From: Fred Wubs Date: Sat, 21 Jan 2012 10:00:58 -0500 There is a vacancy in the unit Computational Mechanics and Numerical Mathematics at the University of Groningen. The associated unit is active in computational fluid dynamics and solution methods for large sparse nonlinear systems (see also http://www.math.rug.nl/cmnm). We want to fill the vacancy in this unit by a postdoc or PhD student, depending on skills and experience of the candidate. Description The Kuroshio current near the Japanese coast in the North Pacific Ocean undergoes decadal time scale transitions between different paths. The aim of this project is to assess the predictability of these path transitions and to determine the effects of the large-scale (equivalent) barotropic instabilities, meso-scale eddies and wind-stress variations on this predictability. In the project we will use a combination of direct numerical simulation, stochastic parameterization of the effects of meso-scale eddies, techniques from the theory of random dynamical systems and data-assimilation methods to analyze the flows in one- and two-layer shallow water models of the Kuroshio Current. Ensemble methods will be used to investigate the predictability of the Kuroshio path transitions, including a study of the impact of specific observations, in deterministic and stochastic models. The researcher (postdoc or PhD student) will concentrate on the stochastic parameterization of meso-scale eddies and the numerical techniques to tackle the stochastic partial differential equations efficiently. The PhD student will also follow a number of courses to improve his/her professional skills and to widen the scientific horizon. Requirements Candidates should: hold a PhD degree (for the postdoc position) or a Msc degree (for the PhD postion) in applied mathematics or physics, have a good knowledge of numerical mathematics, have good programming skills, have a potential to carry out creative and independent research, be fluent in the English language (written and verbal). For the postdoc position the candidate should have accepted publications in the peer-reviewed literature. Experience with stochastic modeling and/or CFD is considered an advantage. The successful candidate should be available to start not later than April 1, 2012. Conditions of employment Postdoc: The candidate is offered a full-time position for one year with a possible extension of 21 months. PhD position: The assignment is for 4 years (maximum) and includes an assessment after the first year. It is a temporary assignment for a period of 4 years. First, you will get a temporary position of 1,5 years with the perspective of prolongation with another 2,5 years. After the first year, there will be an evaluation as to the feasibility of successful completion of the PhD thesis within the next three years. For salary and details on the application we refer to the associated announcement on http://www.rug.nl/corporate/vacatures/jobOpportunitiesRUG For more information, you can contact Dr F.W. Wubs, F.W.Wubs@rug.nl ------ Subject: Faculty Positions, Santiago, Chile From: Norbert Heuer Date: Wed, 18 Jan 2012 18:20:08 -0300 Catholic University of Chile Department of Mathematics The Department of Mathematics invites applications for three tenure track positions at the Assistant Professor level beginning either March or August 2013. Applicants should have a Ph.D. in Mathematics, proven research potential in pure or applied mathematics, and a strong commitment to teaching and research. The regular teaching load for assistant professors consists of three one-semester courses per year, reduced to two during the first two years. The annual salary will be approx. US$ 47,000. Please send a letter indicating your main research interests, potential collaborators in our Department (http://www.mat.puc.cl), detailed curriculum vitae, and three letters of recommendation to: Director, Departamento de Matematicas Pontificia Universidad Catolica de Chile Av. Vicuna Mackenna 4860, Santiago, Chile Fax: (56-2) 552-5916, Email: mmusso@mat.puc.cl For informal enquiries please contact Norbert Heuer, nheuer@mat.puc.cl Deadline: June 30, 2012 ------ Subject: Contents, Kinetic and Related Models 5:1 From: Liwei Ning Date: Fri, 20 Jan 2012 13:01:16 -0600 Kinetic and Related Models (KRM) Volume: 5, Number: 1 March 2012 http://aimsciences.org/journals/contentsListnew.jsp?pubID=491 1. A note from the Editorial Board; Pages : i - i Editorial Board 2. Boundary layers and shock profiles for the discrete Boltzmann equation for mixtures; Pages : 1 - 19 Niclas Bernhoff 3. Ghost effect for a vapor-vapor mixture; Pages : 21 - 50 Stephane Brull 4. On a chemotaxis model with saturated chemotactic flux; Pages : 51 - 95 Alina Chertock, Alexander Kurganov, Xuefeng Wang and Yaping Wu 5. A smooth 3D model for fiber lay-down in nonwoven production processes; Pages : 97 - 112 Axel Klar, Johannes Maringer and Raimund Wegener 6. Estimates of solutions of linear neutron transport equation at large time and spectral singularities; Pages : 113 - 128 Roman Romanov 7. Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior; Pages : 129 - 153 Jack Schaeffer 8. Second order all speed method for the isentropic Euler equations; Pages : 155 - 184 Min Tang 9. H-Theorem for nonlinear regularized 13-moment equations in kinetic gas theory; Pages : 185 - 201 Manuel Torrilhon 10. Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization; Pages : 203 - 221 Nicola Zamponi ------ Subject: Contents, Advances in Mathematics of Communications 6:1 From: Liwei Ning Date: Fri, 20 Jan 2012 12:57:06 -0600 Advances in Mathematics of Communications (AMC) Volume: 6, Number: 1 February 2012 http://aimsciences.org/journals/contentsListnew.jsp?pubID=492 1. Algebraic reduction for the Golden Code; Pages : 1 - 26 Laura Luzzi, Ghaya Rekaya-Ben Othman and Jean-Claude Belfiore 2. On (r,<=2)-locating-dominating codes in the infinite king grid; Pages : 27 - 38 Mikko Pelto 3. Skew constacyclic codes over finite chain rings; Pages : 39 - 63 Somphong Jitman, San Ling and Patanee Udomkavanich 4. A note on the minimum Lee distance of certain self-dual modular codes; Pages : 65 - 68 Bram van Asch and Frans Martens 5. Singularities of symmetric hypersurfaces and Reed-Solomon codes; Pages : 69 - 94 Antonio Cafure, Guillermo Matera and Melina Privitelli 6. Partitioning CCZ classes into EA classes; Pages : 95 - 106 Kathy Horadam and Russell East 7. On maximal curves over finite fields of small order; Pages : 107 - 120 Stefania Fanali, Massimo Giulietti and Irene Platoni ------ Subject: Contents, Physica D: Nonlinear Phenomena 241:5 From: ScienceDirect Message Center Date: Thu, 19 Jan 2012 18:37:15 -0500 * Physica D: Nonlinear Phenomena Volume 241, Issue 5, Pages 443-636, 1 March 2012 http://www.sciencedirect.com/science/issue/271587-1-s2.0-S0167278912X00022 TABLE OF CONTENTS 1) Non-intersecting Brownian motions leaving from and going to several points Original Research Article, Pages 443-460 Mark Adler, Pierre van Moerbeke, Didier Vanderstichelen 2) Nonlinear hydrodynamic corrections to supersonic F-KPP wave fronts Original Research Article, Pages 461-471 C. Antoine, G. Dumazer, B. Nowakowski, A. Lemarchand 3) Continuum modeling of the equilibrium and stability of animal flocks Original Research Article, Pages 472-480 Nicholas A. Mecholsky, Edward Ott, Thomas M. Antonsen, Parvez Guzdar 4) Amplitude-energy fluctuations of optical pulses and statistics of the exit distance Original Research Article, Pages 481-487 D.A. Iakushev 5) Extreme value laws in dynamical systems under physical observables Original Research Article, Pages 497-513 Mark P. Holland, Renato Vitolo, Pau Rabassa, Alef E. Sterk, Henk W. Broer 6) The Arnold cat map, the Ulam method and time reversal Original Research Article, Pages 514-518 L. Ermann, D.L. Shepelyansky 7) Nonlinear-damping continuation of the nonlinear Schrodinger equation - A numerical study Original Research Article, Pages 519-527 G. Fibich, M. Klein 8) A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter Original Research Article, Pages 528-533 Adriana Buica, Jaume Gine, Jaume Llibre 9) Self-similarity and asymptotic stability for coupled nonlinear Schrodinger equations in high dimensions Original Research Article, Pages 534-542 Lucas C.F. Ferreira, Elder J. Villamizar-Roa 10) Regular and irregular geodesics on spherical harmonic surfaces Original Research Article, Pages 543-552 Thomas J. Waters 11) Singularities in soft-impacting systems Original Research Article, Pages 553-565 Soumya Kundu, Soumitro Banerjee, James Ing, Ekaterina Pavlovskaia, Marian Wiercigroch 12) Jump of the adiabatic invariant at a separatrix crossing: Degenerate cases Original Research Article, Pages 566-573 Alexei Vasiliev, Anatoly Neishtadt, Anton Artemyev, Lev Zelenyi 13) Using optimal control theory to identify network structures that foster synchrony Original Research Article, Pages 574-582 Rachel Leander, Suzanne Lenhart, Vladimir Protopopescu 14) Fixed equilibria of point vortices in symmetric multiply connected domains Original Research Article, Pages 583-599 Takashi Sakajo 15) Warm cascade states in a forced-dissipated Boltzmann gas of hard spheres Original Research Article, Pages 600-615 Davide Proment, Miguel Onorato, Pietro Asinari, Sergey Nazarenko 16) Granular matter and the time-dependent viscous eikonal equation Original Research Article, Pages 616-622 K.P. Hadeler, Dirk Schieborn 17) Saddle-node bifurcation of invariant cones in 3D piecewise linear systems Original Research Article, Pages 623-635 Victoriano Carmona, Soledad Fernandez-García, Emilio Freire ------ Subject: Contents, Physica D: Nonlinear Phenomena 241:6 From: ScienceDirect Message Center Date: Fri, 27 Jan 2012 04:28:55 -0500 * Physica D: Nonlinear Phenomena Volume 241, Issue 6, Pages 637-734, 15 March 2012 http://www.sciencedirect.com/science/issue/271587-1-s2.0-S0167278912X00034 1) Aggressive shadowing of a low-dimensional model of atmospheric dynamics Original Research Article Pages 637-648 Ross M. Lieb-Lappen, Christopher M. Danforth 2) Supercritical fluid thermodynamics from equations of state Original Research Article Pages 649-670 Vincent Giovangigli, Lionel Matuszewski 3) On a nonlinear Kalman filter with simplified divided difference approximation Original Research Article Pages 671-680 X. Luo, I. Hoteit, I.M. Moroz 4) Equilibrium, fluctuation relations and transport for irreversible deterministic dynamics Original Research Article Pages 681-691 M. Colangeli, L. Rondoni 5) Global stability analysis of fluid flows using sum-of-squares Original Research Article Pages 692-704 Paul J. Goulart, Sergei Chernyshenko 6) Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system Original Research Article Pages 705-710 Guo Lin 7) Melnikov theoretic methods for characterizing the dynamics of the bistable piezoelectric inertial generator in complex spectral environments Original Research Article Pages 711-720 Samuel C. Stanton, Brian P. Mann, Benjamin A.M. Owens 8) Stability of a self-gravitating homogeneous resistive plasma Original Research Article Pages 721-728 Daniela Pugliese, Nakia Carlevaro, Massimiliano Lattanzi, Giovanni Montani, Riccardo Benini 9) Metriplectic framework for dissipative magneto-hydrodynamics Original Research Article Pages 729-734 Massimo Materassi, Emanuele Tassi ------ Subject: Contents, Nonlinearity 25:2 From: Anna-Ulla Jansson Date: Fri, 20 Jan 2012 13:19:43 +0000 NONLINEARITY Volume 25, Issue 2, February 2012 Individual articles are free for 30 days following their publication on the web. This issue is available at: URL: http://iopscience.iop.org/0951-7715/25/2. Pages: R1--R44, 255--567 INVITED ARTICLE R1 Using multiscale norms to quantify mixing and transport Jean-Luc Thiffeault PAPERS 255 Necessary conditions for the existence of additional first integrals for Hamiltonian systems with homogeneous potential Andrzej J Maciejewski, Maria Przybylska and Haruo Yoshida 279 Existence and multiplicity of periodic solutions of semilinear resonant Duffing equations with singularities Zaihong Wang and Tiantian Ma 309 Global generalized solutions for Maxwell-alpha and Euler-alpha equations Dmitry Vorotnikov 329 The spine of an SQG almost-sharp front Charles Fefferman, Garving Luli and Jose Rodrigo 343 Four-body co-circular central configurations Josep M Cors and Gareth E Roberts 371 Finite dimensional Hamiltonian system related to a Lax pair with symplectic and cyclic symmetries Zi-Xiang Zhou 397 Renormalizable H\'enon-like maps and unbounded geometry P E Hazard, M Lyubich and M Martens 421 Heat--sweat flow in three-dimensional porous textile media Buyang Li and Weiwei Sun 449 The Cauchy problem for the Novikov equation A Alexandrou Himonas and Curtis Holliman 481 Almost reducibility for finitely differentiable ${\rm {SL(2,\mathbb{R})} }$-valued quasi-periodic cocycles Claire Chavaudret 495 Stationary equilibrium singularity distributions in the plane P K Newton and V Ostrovskyi 513 Regularity of solutions to the liquid crystals systems in ${\rm {{\mathbb{R}}^2} }$ and ${\rm {\mathbb{R}^3} }$ Mimi Dai, Jie Qing and Maria Schonbek 533 Nonuniformly expanding 1D maps with logarithmic singularities Hiroki Takahasi and Qiudong Wang 551 Statistical properties of nonuniformly expanding 1D maps with logarithmic singularities Hiroki Takahasi