Digest of the Non Linear Science Network, Volume 17, Number 21 November 15, 2017 Editor: Angel Jorba Topics: XXI Summer Diffiety School on Geometry of PDEs Postdoc Position, M2NeTLab/MS2Discovery, WLU, Waterloo, Canada Postdoc Position, Mathematics, HKU Postdoc Position, Theoretical Fluid Mechanics, McMaster Postdoc Position, Univ of Graz Contents, Discrete and Continuous Dynamical Systems - Series A 38:2 Contents, Discrete and Continuous Dynamical Systems - Series B 23:1 Contents, Discrete and Continuous Dynamical Systems - Series S 11:3 Contents, Discrete and Continuous Dynamical Systems - Series S 11:4 Contents, Numerical Algebra, Control and Optimization 7:4 Contents, Journal of Dynamics and Games 5:1 Contents, Journal of Modern Dynamics 11 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: XXI Summer Diffiety School on Geometry of PDEs From: Jet Nestruev Date: Mon, 13 Nov 2017 09:26:39 +0100 XXI Summer Diffiety School Lizzano in Belvedere (BO), Italy July 19 - 31, 2018 (web page: https://sites.google.com/site/levicivitainstitute/Activities/DiffietySchools/xxi-summer-diffiety-school ) The aim of this permanent School is to introduce undergraduate and Ph. D. students in Mathematics and Physics as well as post-doctoral researchers in a specific area of Mathematics and Teoretical Physics: SECONDARY CALCULUS A diffiety is a geometrical object that properly formalizes the concept of the solution space of a given system of (nonlinear) PDEs, much as an algebraic variety does with respect to solutions of a given system of algebraic equations. Secondary Calculus is a natural diffiety analogue of the standard calculus on smooth manifolds, and as such leads to a very rich general theory of nonlinear PDEs. Moreover, it appears to be a natural language for quantum physics, just as the standard calculus is the natural language for classical physics. The school is organized under the scientific direction of Prof. A. M. Vinogradov (Universita di Salerno, Italy). ORGANIZING COMMITTEE R. Marchioni, R. Riccioni, and L. Vitagliano. Questions and suggestions should be sent to the e-address: diffiety@gmail.com. The Organizers are grateful to those who spread the news about the School in their Institution/University/Department, by forwarding this e-mail. ------ Subject: Postdoc Position, M2NeTLab/MS2Discovery, WLU, Waterloo, Canada From: Roderick Melnik Date: Wed, 15 Nov 2017 05:26:11 +0000 Applications are invited for a Postdoctoral Position in Modeling for Complex Systems, with focus on coupled problems and multiscale modelling. The position is based at the M2NeT Lab which is part of the MS2Discovery Interdisciplinary Research Institute, located at Wilfrid Laurier University, Waterloo, Canada. Further information about the position and how to apply can be found at the following website: http://www.m2netlab.wlu.ca/research/current-openings.html The position is available from January 1, 2018 and will start at the mutually agreed date. The review of applications will begin immediately and continue until the position is filled. ------ Subject: Postdoc Position, Mathematics, HKU From: Tuen Wai NG Date: October 25, 2017 Applications are invited for appointment as Post-doctoral Fellow in Pure and Applied Mathematics in the Department of Mathematics, at the University of Hong Kong (HKU). Full version of this advertisement can be found at http://www.mathjobs.org/jobs/jobs/11059 ------ Subject: Postdoc Position, Theoretical Fluid Mechanics, McMaster From: Bartosz Protas Date: October 24, 2017 An opening for a post-doctoral fellow is anticipated in Dr. Protas' research group at McMaster University with a start date of September 1, 2018. The focus of this position will be fundamental investigations of extreme behavior, such as potential singularity formation, in fluid flow models using a combination of mathematical analysis and large-scale computations. Expected background involves (ideally, a combination of) theoretical fluid mechanics, large-scale scientific computing (including numerical optimization) and PDE analysis. The position will also involve a limited amount of teaching. Applications should be submitted via www.mathjobs.org (Fellowship ID: McMaster-PDF [#11005]; the advertisement contains further details concerning the opening and the application procedure). Interested candidates may also contact Dr. Bartosz Protas Department of Mathematics & Statistics McMaster University Hamilton, Ontario, CANADA L8S 4K1 Email: bprotas@mcmaster.ca URL: http://www.math.mcmaster.ca/bprotas for additional information. ------ Subject: Postdoc Position, Univ of Graz From: Vanessa Peinhart Date: November 06, 2017 POSTDOC POSITION within the ERC-Advanced Grant "From Open to Closed Loop Optimal Control of PDEs", Institute of Mathematics and Scientific Computing,University of Graz About the project: The project addresses a broad spectrum in optimal control of PDEs and focusses on some of the most pressing topics: High dimensional Hamilton Jacobi Bellman equations arising in feedback control, non-smooth, and possibly non-convex optimal control and related computational techniques. The use of optimal control techniques for deep learning can be another focus point for the future collaborator's research. Professional qualifications: Doctoral degree in a mathematical branch of study. Solid knowledge in applied mathematics, including PDEs, with specialization in either analytical or computationaltechniques. Experience in the numerical treatment of high-dimensional partial differential equations is especially welcome. Alternatively, specialization in optimal control, calculus of variations, or optimization is highly appreciated. Grant holder: Prof. Karl Kunisch, University of Graz and Radon Institute, Austrian Academy of Sciences Applications with a detailed CV including a publication list and a compact statement of previous achievements and research interests should be sent to: vanessa.peinhart@uni-graz.at. Application Deadline: January 15, 2018 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 38:2 From: Susan Cummins Date: Tue, 14 Nov 2017 22:19:12 -0600 Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Volume: 38, Number: 2 February 2018 http://aimsciences.org/journals/contentsListnew.jsp?pubID=1003 1. An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes Pages : 431 - 448 Carlos Matheus and Jacob Palis 2. Receding horizon control for the stabilization of the wave equation Pages : 449 - 484 Behzad Azmi and Karl Kunisch 3. Positive solutions for critically coupled Schrodinger systems with attractive interactions Pages : 485 - 507 Hongyu Ye 4. Linear diffusion with singular absorption potential and/or unbounded convective flow: The weighted space approach Pages : 509 - 546 Jesus Ildefonso Diaz, David Gomez-Castro, Jean Michel Rakotoson and Roger Temam 5. Nonradial least energy solutions of the p-Laplace elliptic equations Pages : 547 - 561 Ryuji Kajikiya 6. Energy-critical NLS with potentials of quadratic growth Pages : 563 - 587 Casey Jao 7. Bounded and unbounded capillary surfaces derived from the catenoid Pages : 589 - 614 Filippo Morabito 8. On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex Pages : 615 - 650 Mats Gyllenberg, Jifa Jiang, Lei Niu and Ping Yan 9. On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis Pages : 651 - 673 Messoud Efendiev and Anna Zhigun 10. Nonexistence results for elliptic differential inequalities with a potential in bounded domains Pages : 675 - 695 Dario D. Monticelli and Fabio Punzo 11. Nonlinear Schrodinger equations on periodic metric graphs Pages : 697 - 714 Alexander Pankov 12. The continuum limit of Follow-the-Leader models - a short proof Pages : 715 - 722 Helge Holden and Nils Henrik Risebro 13. On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs Pages : 723 - 748 Ammari Zied and Liard Quentin 14. Dispersive effects of weakly compressible and fast rotating inviscid fluids Pages : 749 - 789 Van-Sang Ngo and Stefano Scrobogna 15. N-barrier maximum principle for degenerate elliptic systems and its application Pages : 791 - 821 Chiun-Chuan Chen, Li-Chang Hung and Hsiao-Feng Liu 16. A Liouville-type theorem for cooperative parabolic systems Pages : 823 - 833 Anh Tuan Duong and Quoc Hung Phan 17. Reversing and extended symmetries of shift spaces Pages : 835 - 866 Michael Baake, John A. G. Roberts and Reem Yassawi 18. A robustly transitive diffeomorphism of Kan's type Pages : 867 - 888 Cheng Cheng, Shaobo Gan and Yi Shi 19. Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points Pages : 889 - 904 Anna Cima, Armengol Gasull and Victor Ma\~nosa 20. Propagation phenomena for CNNs with asymmetric templates and distributed delays Pages : 905 - 939 Zhixian Yu and Xiaoqiang Zhao 21. Renormalization of two-dimensional piecewise linear maps: Abundance of 2-D strange attractors Pages : 941 - 966 Antonio Pumari\~no, Josa Angel Rodriguez and Enrique Vigil ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 23:1 From: zhoucuixin Date: Fri, 10 Nov 2017 16:55:42 +0800 (CST) Discrete and Continuous Dynamical Systems - Series B (DCDS-B) Volume 23, Number 1, January 2018 http://aimsciences.org/journals/contentsListnew.jsp?pubID=1001 Special issue on dynamical systems and applications 1. Preface Pages : i - ii Urszula Ledzewicz, Pavel Drabek, Avner Friedman, Marek Galewski, Maria do Rosario de Pinho, Bogdan Przeradzki and Ewa Schmeidel 2. Models of the population playing the rock-paper-scissors game Pages : 1 - 11 Wlodzimierz Bak, Tadeusz Nadzieja and Mateusz Wrobel 3. Self-similar solutions of fragmentation equations revisited Pages : 13 - 27 Weronika Biedrzycka and Marta Tyran-Kaminska 4. Application of Mountain Pass Theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data Pages : 29 - 43 Dorota Bors 5. Dynamical system modeling fermionic limit Pages : 45 - 55 Dorota Bors and Robert Stanczy 6. NLS-like equations in bounded domains: Parabolic approximation procedure Pages : 57 - 77 Alexandre N. Carvalho and Jan W. Cholewa 7. Optimal control of normalized SIMR models with vaccination and treatment Pages : 79 - 99 Maria do Rosario de Pinho, Helmut Maurer and Hasnaa Zidani 8. Exact asymptotics of positive solutions to Dickman equation Pages : 101 - 121 Josef Diblik and Rigoberto Medina 9. Asymptotic properties of delayed matrix exponential functions via Lambert function Pages : 123 - 144 Josef Diblik and Zdenek Svoboda 10. Sensitivity of combined chemo- and antiangiogenic therapy results in different models describing cancer growth Pages : 145 - 160 Marzena Dolbniak, Malgorzata Kardynska and Jaroslaw Smieja 11. Detecting features of epileptogenesis in EEG after TBI using unsupervised diffusion component analysis Pages : 161 - 172 Dominique Duncan, Paul Vespa and Arthur W. Toga 12. A global inversion theorem for functions with singular points Pages : 173 - 180 Piotr Fijalkowski 13. Some remarks on the Gottman-Murray model of marital dissolution and time delays Pages : 181 - 191 Urszula Forys 14. Free boundary problems arising in biology Pages : 193 - 202 Avner Friedman 15. Multiplicity results for discrete anisotropic equations Pages : 203 - 218 Marek Galewski, Shapour Heidarkhani and Amjad Salari 16. Periodic solutions for nonlinear nonmonotone evolution inclusions Pages : 219 - 238 Leszek Gasinski and Nikolaos S. Papageorgiou 17. Qualitative properties of solutions of higher order difference equations with deviating arguments Pages : 239 - 252 Alina Gleska and Malgorzata Migda 18. Monotonic solutions of a higher-order neutral difference system Pages : 253 - 261 Robert Jankowski, Barbara Lupinska, Magdalena Nockowska-Rosiak and Ewa Schmeidel 19. Optimal control problem for a viscoelastic beam and its galerkin approximation Pages : 263 - 274 Andrzej Just and Zdzislaw Stempien 20. Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals Pages : 275 - 281 Igor Kossowski and Katarzyna Szymanska-Debowska 21. Arzela-Ascoli's theorem in uniform spaces Pages : 283 - 294 Mateusz Krukowski 22. The Krasnosel'skii formula for parabolic differential inclusions with state constraints Pages : 295 - 329 Wojciech Kryszewski, Dorota Gabor and Jakub Siemianowski 23. Optimal control applied to a generalized Michaelis-Menten model of CML therapy Pages : 331 - 346 Urszula Ledzewicz and Helen Moore 24. Optimal control of the discrete-time fractional-order Cucker-Smale model Pages : 347 - 357 Agnieszka B. Malinowska and Tatiana Odzijewicz 25. Periodic solutions of a 2-dimensional system of neutral difference equations Pages : 359 - 367 Malgorzata Migda, Ewa Schmeidel and Malgorzata Zdanowicz 26. Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with -Laplacian Pages : 369 - 375 Magdalena Nockowska-Rosiak, Piotr Hachula and Ewa Schmeidel 27. Stability of stochastic semigroups and applications to Stein's neuronal model Pages : 377 - 385 Katarzyna Pichor and Ryszard Rudnicki 28. Numerical treatment of contact problems with thermal effect Pages : 387 - 400 Anna Ochal and Michal Jureczka 29. The role of optimism and pessimism in the dynamics of emotional states Pages : 401 - 423 Monika Joanna Piotrowska, Joanna Gorecka and Urszula Forys 30. Treatment of glioma with virotherapy and TNF- inhibitors: Analysis as a dynamical system Pages : 425 - 441 Elzbieta Ratajczyk, Urszula Ledzewicz, Maciej Leszczynski and Heinz Schattler 31. Optimal control of a delayed HIV model Pages : 443 - 458 Filipe Rodrigues, Cristiana J. Silva, Delfim F. M. Torres and Helmut Maurer 32. Does assortative mating lead to a polymorphic population? A toy model justification Pages : 459 - 472 Ryszard Rudnicki and Radoslaw Wieczorek 33. Solution to a stochastic pursuit model using moment equations Pages : 473 - 485 Miroslava Ruzickova, Irada Dzhalladova, Jitka Laitochova and Josef Diblik 34. On homoclinic solutions for a second order difference equation with Laplacian Pages : 487 - 492 Robert Steglinski ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series S 11:3 From: zhoucuixin Date: Fri, 3 Nov 2017 20:24:24 +0800 (CST) Discrete and Continuous Dynamical Systems - Series S (DCDS-S) Volume 11, Number 3, June 2018 http://aimsciences.org/journals/contentsListnew.jsp?pubID=1000 Special issue on recent progresses in the theory of nonlinear nonlocal problems 1. Preface: Recent progresses in the theory of nonlinear nonlocal problems Pages : i - i Marco Squassina 2. Entire solutions of nonlocal elasticity models for composite materials Pages : 357 - 377 Giuseppina Autuori and Patrizia Pucci 3. On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent Pages : 379 - 389 Anouar Bahrouni and Vicentiu D. Radulescu 4. Global compactness results for nonlocal problems Pages : 391 - 424 Lorenzo Brasco, Marco Squassina and Yang Yang 5. The isoperimetric problem for nonlocal perimeters Pages : 425 - 440 Annalisa Cesaroni and Matteo Novaga 6. Saddle-shaped solutions for the fractional Allen-Cahn equation Pages : 441 - 463 Eleonora Cinti 7. (Non)local and (non)linear free boundary problems Pages : 465 - 476 Serena Dipierro and Enrico Valdinoci 8. Fractional Laplacians, perimeters and heat semigroups in Carnot groups Pages : 477 - 491 Fausto Ferrari, Michele Miranda Jr., Diego Pallara, Andrea Pinamonti and Yannick Sire 9. Some remarks on boundary operators of Bessel extensions Pages : 493 - 509 Jesse Goodman and Daniel Spector 10. Existence and multiplicity results for resonant fractional boundary value problems Pages : 511 - 532 Antonio Iannizzotto and Nikolaos S. Papageorgiou 11. Multiple solutions of fractional Kirchhoff equations involving a critical nonlinearity Pages : 533 - 545 Hua Jin, Wenbin Liu and Jianjun Zhang 12. Optimal elliptic regularity: A comparison between local and nonlocal equations Pages : 547 - 559 Sunra J. N. Mosconi 13. Bifurcation results for problems with fractional Trudinger-Moser nonlinearity Pages : 561 - 576 Kanishka Perera and Marco Squassina ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series S 11:4 From: zhoucuixin Date: Thu, 16 Nov 2017 14:07:36 +0800 (CST) Discrete and Continuous Dynamical Systems - Series S (DCDS-S) Volume 11, Number 4, August 2018 http://aimsciences.org/journals/contentsListnew.jsp?pubID=1004 Special issue on Lie symmetries, conservation laws and other approaches in solving nonlinear differential equations 1. Preface Pages : i - ii Chaudry Masood Khalique, Maria Luz Gandarais and Mufid Abudiab 2. Exact solutions of nonlinear partial differential equations Pages : 577 - 582 Barbara Abraham-Shrauner 3. Numerical investigation of Cattanneo-Christov heat flux in CNT suspended nanofluid flow over a stretching porous surface with suction and injection Pages : 583 - 594 Noreen Sher Akbar, Dharmendra Tripathi and Zafar Hayat Khan 4. Exact solution of magnetohydrodynamic slip flow and heat transfer over an oscillating and translating porous plate Pages : 595 - 606 Yasir Ali and Arshad Alam Khan 5. Conservation laws and symmetries of time-dependent generalized KdV equations Pages : 607 - 615 Stephen Anco, Maria Rosa and Maria Luz Gandarias 6. Unsteady MHD slip flow of non Newtonian power-law nanofluid over a moving surface with temperature dependent thermal conductivity Pages : 617 - 630 Asim Aziz and Wasim Jamshed 7. Symmetries and conservation laws of a KdV6 equation Pages : 631 - 641 Maria Santos Bruzon and Tamara Maria Garrido 8. Closed-form solutions for the Lucas-Uzawa growth model with logarithmic utility preferences via the partial Hamiltonian approach Pages : 643 - 654 Azam Chaudhry and Rehana Naz 9. Conditional symmetries of nonlinear third-order ordinary differential equations Pages : 655 - 666 Aeeman Fatima, F. M. Mahomed and Chaudry Masood Khalique 10. Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry Pages : 667 - 673 Igor Freire and Ben Muatjetjeja 11. Nonlocal and nonvariational extensions of Killing-type equations Pages : 675 - 689 Gianluca Gorni and Gaetano Zampieri 12. A study of bifurcation parameters in travelling wave solutions of a damped forced Korteweg de Vries-Kuramoto Sivashinsky type equation Pages : 691 - 705 Mudassar Imran, Youssef Raffoul, Muhammad Usman and Chi Zhang 13. Conservation laws by symmetries and adjoint symmetries Pages : 707 - 721 Wen-Xiu Ma 14. Characterization of partial Hamiltonian operators and related first integrals Pages : 723 - 734 Rehana Naz and Fazal M. Mahomed 15. New conservation forms and Lie algebras of Ermakov-Pinney equation Pages : 735 - 746 Ozlem Orhan and Teoman Ozer 16. Differential invariants of a generalized variable-coefficient Gardner equation Pages : 747 - 757 Rafael de la Rosa and Maria Santos Bruzon 17. Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs Pages : 759 - 772 Lijun Zhang and Chaudry Masood Khalique ------ Subject: Contents, Numerical Algebra, Control and Optimization 7:4 From: Liwei Ning Date: Fri, 3 Nov 2017 11:17:44 -0500 Numerical Algebra, Control and Optimization (NACO) Volume: 7, Number: 4 December 2017 http://aimsciences.org/journals/contentsListnew.jsp?pubID=996 1. Performance evaluation of four-stage blood supply chain with feedback variables using NDEA cross-efficiency and entropy measures under IER uncertainty Pages : 379 - 401 Shiva Moslemi and Abolfazl Mirzazadeh 2. A new Monte Carlo based procedure for complete ranking efficient units in DEA models Pages : 403 - 416 Mazyar Zahedi-Seresht, Gholam-Reza Jahanshahloo, Josef Jablonsky and Sedighe Asghariniya 3. A robust multi-trip vehicle routing problem of perishable products with intermediate depots and time windows Pages : 417 - 433 Erfan Babaee Tirkolaee, Alireza Goli, Mani Bakhsi and Iraj Mahdavi 4. An investigation of the most important factors for sustainable product development using evidential reasoning Pages : 435 - 455 Farzaneh Ahmadzadeh, Kathrina Jederstrom, Maria Plahn, Anna Olsson and Isabell Foyer 5. A study of numerical integration based on Legendre polynomial and RLS algorithm Pages : 457 - 464 Hongguang Xiao, Wen Tan, Dehua Xiang, Lifu Chen and Ning Li 6. A hybrid meta-heuristic algorithm to minimize the number of tardy jobs in a dynamic two-machine flow shop problem Pages : 465 - 480 Mostafa Abouei Ardakan, A. Kourank Beheshti, S. Hamid Mirmohammadi and Hamed Davari Ardakani 7. Numerical method for solving optimal control problems with phase constraints Pages : 481 - 492 Alexander Tyatyushkin and Tatiana Zarodnyuk ------ Subject: Contents, Journal of Dynamics and Games 5:1 From: zhoucuixin Date: Fri, 10 Nov 2017 17:17:28 +0800 (CST) Journal of Dynamics and Games (JDG) Volume 5, Number 1, January 2018 http://aimsciences.org/journals/contentsListnew.jsp?pubID=1002 1. Hyperopic topologies on l^\infty Pages : 1 - 7 Paulo Klinger Monteiro, Jaime Orrillo and Rudy Jose Rosas Bazan 2. On the linearity property for allocation problems and bankruptcy problems Pages : 9 - 20 Joss Sanchez-Perez 3. Pricing bond options in emerging markets: A case study Pages : 21 - 30 Guillermo Magnou, Ernesto Mordecki and Andres Sosa 4. A solution for discrete cost sharing problems with non rival consumption Pages : 31 - 39 Adriana Navarro-Ramos and William Olvera-Lopez 5. Transitional dynamics, externalities, optimal subsidy, and growth Pages : 41 - 59 Enrique R. Casares, Lucia A. Ruiz-Galindo and Maria Guadalupe Garcia-Salazar ------ Subject: Contents, Journal of Modern Dynamics 11 From: Liwei Ning Date: Fri, 3 Nov 2017 11:25:17 -0500 Journal of Modern Dynamics (JMD) Volume: 11 2017 http://aimsciences.org/journals/contentsListJMDnew1.jsp?pubID=917 20. Asymptotic distribution of values of isotropic quadratic forms at S-integral points Pages : 501 - 550 Jiyoung Han, Seonhee Lim and Keivan Mallahi-Karai