Digest of the Non Linear Science Network, Volume 15, Number 17 September 15, 2015 Editor: Angel Jorba Topics: Summer School, Complex Networks: Theory, Methods, and Applications Postdoc Positions, BICMR Contents, Discrete and Continuous Dynamical Systems - Series A 36:2 Contents, Discrete and Continuous Dynamical Systems - Series A 36:3 Contents, Discrete and Continuous Dynamical Systems - Series B 20:8 Contents, Mathematical Biosciences and Engineering 12:6 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: Summer School, Complex Networks: Theory, Methods, and Applications From: sicc Date: Tue, 8 Sep 2015 13:05:31 -0600 Summer School COMPLEX NETWORKS: THEORY, METHODS, AND APPLICATIONS (2nd edition) Lake Como School of Advanced Studies Villa del Grumello, Como, Italy, 16-20 May 2016 http://ntmb.lakecomoschool.org/ Many real systems can be modeled as networks, where the elements of the system are nodes and interactions between elements are edges. An even larger set of systems can be modeled using dynamical processes on networks, which are in turn affected by the dynamics. Networks thus represent the backbone of many complex systems, and their theoretical and computational analysis makes it possible to gain insights into numerous applications. Networks permeate almost every conceivable discipline---including sociology, transportation, economics and finance, biology, and myriad others---and the study of "network science" has thus become a crucial component of modern scientific education. The school "Complex Networks: Theory, Methods, and Applications" offers a succinct education in network science. It is open to all aspiring scholars in any area of science or engineering who wish to study networks of any kind (whether theoretical or applied), and it is especially addressed to doctoral students and young postdoctoral scholars. The aim of the school is to deepen into both theoretical developments and applications in targeted fields. ORGANIZING COMMITTEE .STEFANO BATTISTON, University of Zurich .VITTORIA COLIZZA, Inserm & Universite Pierre et Marie Curie, Paris, and ISI Foundation, Turin .PETTER HOLME, Sungkyunkwan University .YAMIR MORENO, University of Zaragoza .CARLO PICCARDI, Politecnico di Milano .MASON A. PORTER, University of Oxford LECTURERS .ALAIN BARRAT, Centre de Physique Theorique, Marseilles, and ISI Foundation, Turin .MARC BARTHELEMY, Institut de Physique Theorique, CEA Saclay .JAVIER M. BULDU, URJC & Center for Biomedical Technology, Madrid .ERNESTO ESTRADA, Department of Mathematics & Statistics, University of Strathclyde, Glasgow .MARCUS KAISER, Newcastle University .ESTEBAN MORO, Department of Mathematics, Universidad Carlos III de Madrid .TIAGO DE PAULA PEIXOTO, University of Bremen .MASON A. PORTER, Mathematical Institute, University of Oxford PROGRAM Monday, 16 May, morning Structural network theory: Traditional vs. non-traditional methods (Estrada) Monday, 16 May, afternoon Temporal networks (Barrat) Tuesday, 17 May, morning Spatial networks: theory and applications (Barthelemy) Tuesday, 17 May, afternoon no lectures Wednesday, 18 May, morning Mesoscale structures in networks (Porter) Wednesday, 18 May, afternoon Statistical inference of generative network models (Peixoto) Thursday, 19 May, morning Social and economical networks from (big-)data (Moro) Thursday, 19 May, afternoon no lectures Friday, 20 May, morning The human structural connectome: organisation, development, and dynamics (Kaiser) Friday, 20 May, afternoon Functional brain networks (Buldu) For more information and application: http://ntmb.lakecomoschool.org/ Sponsored by SICC - Italian Society for Chaos and Complexity e-mail info@sicc-it.org Web http://www.sicc-it.org ------ Subject: Postdoc Positions, BICMR From: Yuhua You Date: September 05, 2015 Beijing International Center for Mathematical Research (BICMR) is a leading mathematical research institute in China. Sponsored by the national government of China, BICMR is devoted to promoting forefront mathematical research and education, and enhancing scientific exchange and cooperation among Chinese and international mathematicians. BICMR is located on the north Shore of Weiming Lake on the campus of Peking University, which is one of the best universities in China and its mathematical program has been ranked number one by Chinese ministry of education. Since its establishment in 2005, BICMR has been actively recruiting global talents and exploring new models of mathematical education. By the mid of 2015, BICMR has 28 faculty members, two of them are members of Chinese Academy of Sciences, seven senior and seven junior experts were selected into the Global Talent Recruiting Program of Chinese national government. BICMR is actively seeking promising young mathematicians for several postdoctoral positions in pure and applied mathematics. Candidates with recently awarded Ph.D. degrees from all countries in the world are encouraged to apply. These are two-year full-time positions. Applications are accepted year round. Application materials should include: 1) Application form (which can be downloaded from the webpage http://bicmr.pku.edu.cn/recruitment/postdoc-fellows/2012/0919/28.html); 2) Curriculum Vitae; 3) List of published and accepted papers; 4) Three letters of reference (sent directly by referees). Please send application materials via email to the personnel of BICMR at the address application@math.pku.edu.cn. For more information about BICMR, please visit the website http://bicmr.pku.edu.cn ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 36:2 From: Liwei Ning Date: Thu, 3 Sep 2015 15:03:02 -0500 Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Volume: 36, Number: 2 February 2016 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=798 1. Preface Pages : i - iii Kung-Ching Chang, Minyou Chi, Wei-Ming Ni and Zhuoqun Wu 2. In memory of professor Rouhuai Wang (1924-2001): A pioneering Chinese researcher in partial differential equations Pages : 571 - 575 Kung-Ching Chang 3. Polyharmonic equations with critical exponential growth in the whole space R^n Pages : 577 - 600 Jiguang Bao, Nguyen Lam and Guozhen Lu 4. A priori estimates for semistable solutions of semilinear elliptic equations Pages : 601 - 609 Xavier Cabre, Manel Sanchon and Joel Spruck 5. Time periodic solutions to Navier-Stokes-Korteweg system with friction Pages : 611 - 629 Hong Cai, Zhong Tan and Qiuju Xu 6. Small perturbation of a semilinear pseudo-parabolic equation Pages : 631 - 642 Yang Cao and Jingxue Yin 7. Rotating periodic solutions of second order dissipative dynamical systems Pages : 643 - 652 Xiaojun Chang and Yong Li 8. Smooth local solutions to Weingarten equations and Sigma k-equations Pages : 653 - 660 Tiancong Chen and Qing Han 9. Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials Pages : 661 - 682 Hua Chen and Nian Liu 10. Existence of solutions for a class of p-Laplacian type equation with critical growth and potential vanishing at infinity Pages : 683 - 699 Yinbin Deng, Yi Li and Wei Shuai 11. The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds Pages : 701 - 714 Bo Guan and Heming Jiao 12. Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the p(x,t)-Laplace operator and a non-local term Pages : 715 - 730 Bin Guo and Wenjie Gao 13. Concentrating soliton solutions for quasilinear Schrodinger equations involving critical Sobolev exponents Pages : 731 - 762 Yi He and Gongbao Li 14. Hill-type formula and Krein-type trace formula for S-periodic solutions in ODEs Pages : 763 - 784 Xijun Hu and Penghui Wang 15. 2pi-Periodic self-similar solutions for the anisotropic affine curve shortening problem II Pages : 785 - 803 Meiyue Jiang and Juncheng Wei 16. Existence, uniqueness, and stability of bubble solutions of a chemotaxis model Pages : 805 - 832 Xin Lai, Xinfu Chen, Mingxin Wang, Cong Qin and Yajing Zhang 17. Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS Pages : 833 - 849 Jingyu Li and Chuangchuang Liang 18. A perturbation result for system of Schr?dinger equations of Bose-Einstein condensates in R3 Pages : 851 - 860 Kui Li and Zhitao Zhang 19. Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems Pages : 861 - 875 Tong Li and Anthony Suen 20. Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces Pages : 877 - 893 Hui Liu and Duanzhi Zhang 21. On the classical solvability of near field reflector problems Pages : 895 - 916 Jiakun Liu and Neil S. Trudinger 22. Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations Pages : 917 - 939 Wei Long, Shuangjie Peng and Jing Yang 23. The effects of spatial heterogeneities on some multiplicity results Pages : 941 - 952 Julian Lopez-Gomez and Paul H. Rabinowitz 24. Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment Pages : 953 - 969 Yuan Lou, Dongmei Xiao and Peng Zhou 25. Topological degree method for the rotationally symmetric Lp-Minkowski problem Pages : 971 - 980 Jian Lu and Huaiyu Jian 26. Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations Pages : 981 - 1004 La-Su Mai and Kaijun Zhang 27. Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrodinger system Pages : 1005 - 1021 Nghiem V. Nguyen and Zhi-Qiang Wang 28. C-infinity Local solutions of elliptical 2-Hessian equation in R^3 Pages : 1023 - 1039 Guji Tian, Qi Wang and Chao-Jiang Xu 29. Boundary behavior and asymptotic behavior of solutions to a class of parabolic equations with boundary degeneracy Pages : 1041 - 1060 Chunpeng Wang 30. Parabolic elliptic type Keller-Segel system on the whole space case Pages : 1061 - 1084 Jinhuan Wang, Li Chen and Liang Hong 31. On the global existence of classical solutions for compressible Navier-Stokes equations with vacuum Pages : 1085 - 1103 Peixin Zhang, Jianwen Zhang and Junning Zhao 32. Exact controllability for first order quasilinear hyperbolic systems with internal controls Pages : 1105 - 1124 Kaili Zhuang, Tatsien Li and Bopeng Rao 33. Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian Pages : 1125 - 1141 Ran Zhuo, Wenxiong Chen, Xuewei Cui and Zixia Yuan ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 36:3 From: Susan Cummins Date: Fri, 11 Sep 2015 16:40:36 -0500 Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Volume: 36, Number: 3 March 2016 http://aimsciences.org/journals/contentsListnew.jsp?pubID=801 1. An improved Hardy inequality for a nonlocal operator Pages : 1143 - 1157 Boumediene Abdellaoui and Fethi Mahmoudi 2. Pure discrete spectrum for a class of one-dimensional substitution tiling systems Pages : 1159 - 1173 Marcy Barge 3. Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up Pages : 1175 - 1208 Vincent Calvez and Thomas O. Gallouet 4. Nonlocal-interaction equations on uniformly prox-regular sets Pages : 1209 - 1247 Jose A. Carrillo, Dejan Slepcev and Lijiang Wu 5. The beta-transformation with a hole Pages : 1249 - 1269 Lyndsey Clark 6. Rigidity of Hamenstadt metrics of Anosov flows Pages : 1271 - 1278 Yong Fang 7. Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions Pages : 1279 - 1319 Ciprian G. Gal and Mahamadi Warma 8. Wandering continua for rational maps Pages : 1321 - 1329 Guizhen Cui and Yan Gao 9. Asymptotic stability of non-monotone traveling waves for time-delayed nonlocal dispersion equations Pages : 1331 - 1353 Rui Huang, Ming Mei, Kaijun Zhang and Qifeng Zhang 10. Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations Pages : 1355 - 1382 Fran\c{c}ois James and Nicolas Vauchelet 11. Passive scalars, moving boundaries, and Newton's law of cooling Pages : 1383 - 1413 Juhi Jang and Ian Tice 12. Effective boundary conditions of the heat equation on a body coated by functionally graded material Pages : 1415 - 1430 Huicong Li 13. Positive solutions of a nonlinear Schrodinger system with nonconstant potentials Pages : 1431 - 1464 Haidong Liu and Zhaoli Liu 14. Young towers for product systems Pages : 1465 - 1491 Stefano Luzzatto and Marks Ruziboev 15. One smoothing property of the scattering map of the KdV on R Pages : 1493 - 1537 Alberto Maspero and Beat Schaad 16. On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid Pages : 1539 - 1562 Sarka Necasova and Joerg Wolf 17. Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data Pages : 1563 - 1581 Yuming Qin, Yang Wang, Xing Su and Jianlin Zhang 18. Large-time behavior of the full compressible Euler-Poisson system without the temperature damping Pages : 1583 - 1601 Zhong Tan, Yong Wang and Fanhui Xu 19. Infinitely many solutions for an elliptic problem with double critical Hardy-Sobolev-Maz'ya terms Pages : 1603 - 1628 Chunhua Wang and Jing Yang 20. On the shape Conley index theory of semiflows on complete metric spaces Pages : 1629 - 1647 Jintao Wang, Desheng Li and Jinqiao Duan 21. Lipschitz dependence of viscosity solutions of Hamilton-Jacobi equations with respect to the parameter Pages : 1649 - 1659 Kaizhi Wang and Jun Yan 22. The regularity of sonic curves for the two-dimensional Riemann problems of the nonlinear wave system of Chaplygin gas Pages : 1661 - 1675 Qin Wang and Kyungwoo Song 23. On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems Pages : 1677 - 1692 Xiaocai Wang, Junxiang Xu and Dongfeng Zhang 24. Structurally stable homoclinic classes Pages : 1693 - 1707 Xiao Wen 25. Global solutions of two coupled Maxwell systems in the temporal gauge Pages : 1709 - 1719 Jianjun Yuan 26. A Liouville theorem for alpha-harmonic functions in R^n_+ Pages : 1721 - 1736 Lizhi Zhang, Congming Li, Wenxiong Chen and Tingzhi Cheng 27. On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion Pages : 1737 - 1757 Pan Zheng, Chunlai Mu and Xiaojun Song ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 20:8 From: Susan Cummins Date: Sat, 5 Sep 2015 01:30:04 -0500 Discrete and Continuous Dynamical Systems - Series B (DCDS-B) Volume: 20, Number: 8 October 2015 http://aimsciences.org/journals/contentsListnew.jsp?pubID=799 1. Computational methods for Lyapunov functions Pages : i - ii Peter Giesl and Sigurdur Hafstein 2. Review on computational methods for Lyapunov functions Pages : 2291 - 2331 Peter Giesl and Sigurdur Hafstein 3. Classical converse theorems in Lyapunov's second method Pages : 2333 - 2360 Christopher M. Kellett 4. Advances in computational Lyapunov analysis using sum-of-squares programming Pages : 2361 - 2381 James Anderson and Antonis Papachristodoulou 5. Polynomial optimization with applications to stability analysis and control - Alternatives to sum of squares Pages : 2383 - 2417 Reza Kamyar and Matthew M. Peet 6. Efficient computation of Lyapunov functions for Morse decompositions Pages : 2419 - 2451 Arnaud Goullet, Shaun Harker, Konstantin Mischaikow, William D. Kalies and Dinesh Kasti 7. Grid refinement in the construction of Lyapunov functions using radial basis functions Pages : 2453 - 2476 Najla Mohammed and Peter Giesl 8. Computation of local ISS Lyapunov functions with low gains via linear programming Pages : 2477 - 2495 Huijuan Li, Robert Baier, Lars Grune, Sigurdur F. Hafstein and Fabian R. Wirth 9. Separable Lyapunov functions for monotone systems: Constructions and limitations Pages : 2497 - 2526 Gunther Dirr, Hiroshi Ito, Anders Rantzer and Bjorn S. Ruffer 10. On the homogenization of multicomponent transport Pages : 2527 - 2551 Gregoire Allaire and Harsha Hutridurga 11. Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters H in (1/3,1/2] Pages : 2553 - 2581 Maria J. Garrido-Atienza, Kening Lu and Bjorn Schmalfuss 12. Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one Pages : 2583 - 2609 Yingwen Guo and Yinnian He 13. Local well-posedness and small Deborah limit of a molecule-based Q-tensor system Pages : 2611 - 2655 Sirui Li, Wei Wang and Pingwen Zhang 14. Analytic integrability of a class of planar polynomial differential systems Pages : 2657 - 2661 Jaume Llibre and Claudia Valls 15. Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems with infinite delays Pages : 2663 - 2690 Francisco Montes de Oca and Liliana Perez 16. Coexistence solutions of a competition model with two species in a water column Pages : 2691 - 2714 Hua Nie, Sze-Bi Hsu and Jianhua Wu 17. Long time dynamics of a multidimensional nonlinear lattice with memory Pages : 2715 - 2732 Jauber Cavalcante Oliveira, Jardel Morais Pereira and Gustavo Perla Menzala 18. Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping Pages : 2733 - 2750 Lei Wang, Zhong-Jie Han and Gen-Qi Xu 19. Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system Pages : 2751 - 2759 Qingshan Zhang and Yuxiang Li 20. A note on 'Spin-polarized transport: Existence of weak solutions' Pages : 2761 - 2763 Carlos J. Garcia-Cervera and Xiao-Ping Wang ------ Subject: Contents, Mathematical Biosciences and Engineering 12:6 From: Liwei Ning Date: Tue, 8 Sep 2015 00:04:43 -0500 Mathematical Biosciences and Engineering (MBE) Volume: 12, Number: 6 December 2015 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=800 1. Application of ecological and mathematical theory to cancer: New challenges Pages : i - iv Yangjin Kim, Avner Friedman, Eugene Kashdan, Urszula Ledzewicz and Chae-Ok Yun 2. Hybrid models of cell and tissue dynamics in tumor growth Pages : 1141 - 1156 Yangjin Kim and Hans G. Othmer 3. A data-motivated density-dependent diffusion model of in vitro glioblastoma growth Pages : 1157 - 1172 Tracy L. Stepien, Erica M. Rutter and Yang Kuang 4. Mathematical model and its fast numerical method for the tumor growth Pages : 1173 - 1187 Hyun Geun Lee, Yangjin Kim and Junseok Kim 5. Synergistic effect of blocking cancer cell invasion revealed by computer simulations Pages : 1189 - 1202 Kazuhisa Ichikawa 6. The role of the cytokines IL-27 and IL-35 in cancer Pages : 1203 - 1217 Avner Friedman and Kang-Ling Liao 7. An integrated cellular and sub-cellular model of cancer chemotherapy and therapies that target cell survival Pages : 1219 - 1235 Alexis B. Cook, Daniel R. Ziazadeh, Jianfeng Lu and Trachette L. Jackson 8. Treatment strategies for combining immunostimulatory oncolytic virus therapeutics with dendritic cell injections Pages : 1237 - 1256 Joanna R. Wares, Joseph J. Crivelli, Chae-Ok Yun, Il-Kyu Choi, Jana L. Gevertz and Peter S. Kim 9. Dynamics and control of a mathematical model for metronomic chemotherapy Pages : 1257 - 1275 Urszula Ledzewicz, Behrooz Amini and Heinz Sch?ttler 10. Oncogene-tumor suppressor gene feedback interactions and their control Pages : 1277 - 1288 Baltazar D. Aguda, Ricardo C.H. del Rosario and Michael W.Y. Chan 11. Algebraic and topological indices of molecular pathway networks in human cancers Pages : 1289 - 1302 Peter Hinow, Edward A. Rietman, Sara Ibrahim Omar and Jack A. Tuszynski 12. The performance of discrete models of low reynolds number swimmers Pages : 1303 - 1320 Qixuan Wang and Hans G. Othmer 13. Models, measurement and inference in epithelial tissue dynamics Pages : 1321 - 1340 Oliver J. Maclaren, Helen M. Byrne, Alexander G. Fletcher and Philip K. Maini