Digest of the Non Linear Science Network, Volume 16, Number 22 December 1, 2016 Editor: Angel Jorba Topics: XX Summer Diffiety School on Geometry of PDEs Conference, AMiTaNS'17 PhD Positions in Applied Math and Probability & Statistics at NJIT Contents, Discrete and Continuous Dynamical Systems - Series B 21:10 Contents, Discrete and Continuous Dynamical Systems - Series S 9:6 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: XX Summer Diffiety School on Geometry of PDEs From: Jet Nestruev Date: Fri, 2 Dec 2016 15:21:52 +0100 XX Summer Diffiety School School on Geometry of PDEs Lizzano in Belvedere (BO) Italy Ex Colonia Ferrarese & Piccolo Hotel Tanamalia July 20 - 31, 2017. web page: https://sites.google.com/site/levicivitainstitute/Activities/DiffietySchools/xx-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 (Istituto Levi-Civita, Italy). ------ Subject: Conference, AMiTaNS'17 From: mtod Date: Fri, 18 Nov 2016 22:30:24 +0200 1) AMiTaNS'17 2) June 21-26 2017 3) 9th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences 4) Congress Centre, Black-Sea resort of Albena, Bulgaria 5) http://2017.eac4amitans.eu 6) The conference will be scheduled in plenary and keynote lectures followed by special and contributed sessions. The accents of the conference will be on Mathematical Physics, Solitons and Transport Processes, Numerical Methods, Scientific Computing, Continuum Mechanics, Applied Analysis, Applied Physics, Biomathematics, which can be complemented by some specific topics in contributed special sessions; Professor Michail Todorov - principal organizer and coordinator; List of tentative speakers: A. Aceves (USA), N. Papanicolaou (Cyprus), V. Shaydurov (Russia), A. Fedoseev (USA), V. Gerdjikov (Bulgaria), L. Fauci (USA), N. Trayanova (USA), I. Barashenkov (South Africa), M. Sorensen (Denmark), P. Minev (Canada), I. Farago (Hungary), M. Neytcheva (Sweden), M. Stehlik (Austria and Chile). ------ Subject: PhD Positions in Applied Math and Probability & Statistics at NJIT From: Roy Goodman Date: Sat, 3 Dec 2016 10:42:29 -0600 Dear students and colleagues, The Department of Mathematical Sciences at New Jersey Institute of Technology (NJIT) is inviting candidates to apply to one of our doctoral program tracks: (1) Applied Mathematics or (2) Applied Probability & Statistics. The Department's research focus spans Fluid Dynamics, Materials Science, Wave Propagation, Scientific Computing, Mathematical Biology, Computational Neuroscience, and Applied Probability & Statistics, including Biostatistics. Teaching and research assistantships are available, and include a tuition waiver and a competitive stipend. Applications are due December 15, 2016, but this is a soft target date: applications will be accepted and ongoing review will continue until end of January 2017 or until all available positions are filled. For more information, please email us (math@njit.edu, CC to: matveev@njit.edu, rmoore@njit.edu) or visit our websites: * PhD Program Details: http://catalog.njit.edu/graduate/science-liberal-arts/mathematical-sciences/phd/index.html * PhD Admissions Information: http://catalog.njit.edu/graduate/admissions-financial-support/admissions/ * On-line application portal: http://www.njit.edu/admissions/apply-online.php * Advertisement flyer: http://web.njit.edu/~matveev/NJIT_DMS_PhD_flyer.pdf * NJIT Department of Math Sciences homepage: http://math.njit.edu Sincerely, Admissions Committee, Department of Mathematical Sciences, NJIT ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 21:10 From: Susan Cummins Date: Fri, 2 Dec 2016 10:54:29 -0600 Discrete and Continuous Dynamical Systems - Series B (DCDS-B) Volume: 21, Number: 10 December 2016 http://aimsciences.org/journals/contentsListnew.jsp?pubID=907 1. Complex dynamics in the segmented disc dynamo Pages : 3301 - 3314 Jianghong Bao 2. Minimizing R0 for in-host virus model with periodic combination antiviral therapy Pages : 3315 - 3330 Cameron J. Browne and Sergei S. Pilyugin 3. Optimal control of a perturbed sweeping process via discrete approximations Pages : 3331 - 3358 Tan H. Cao and Boris S. Mordukhovich 4. Exponential integrability properties of Euler discretization schemes for the Cox-Ingersoll-Ross process Pages : 3359 - 3377 Andrei Cozma and Christoph Reisinger 5. Dynamics of a networked connectivity model of epidemics Pages : 3379 - 3390 Cristina Cross, Alysse Edwards, Dayna Mercadante and Jorge Rebaza 6. Computational methods for asynchronous basins Pages : 3391 - 3405 Ian H. Dinwoodie 7. Infinitely many solutions of the nonlinear fractional Schrodinger equations Pages : 3407 - 3428 Miao Du and Lixin Tian 8. Long-time behavior of an SIR model with perturbed disease transmission coefficient Pages : 3429 - 3440 Nguyen Huu Du and Nguyen Thanh Dieu 9. Global classical solutions for mass-conserving, (super)-quadratic reaction-diffusion systems in three and higher space dimensions Pages : 3441 - 3462 Klemens Fellner, Evangelos Latos and Takashi Suzuki 10. Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations Pages : 3463 - 3478 Hui Huang and Jian-Guo Liu 11. The vanishing surface tension limit for the Hele-Shaw problem Pages : 3479 - 3514 Hyung Ju Hwang, Youngmin Oh and Marco Antonio Fontelos 12. A multi-group SIR epidemic model with age structure Pages : 3515 - 3550 Toshikazu Kuniya, Jinliang Wang and Hisashi Inaba 13. Global attracting set, exponential decay and stability in distribution of neutral SPDEs driven by additive a-stable processes Pages : 3551 - 3573 Kai Liu and Zhi Li 14. Hopf bifurcation in a model of TGF-beta in regulation of the Th 17 phenotype Pages : 3575 - 3602 Jisun Lim, Seongwon Lee and Yangjin Kim 15. Optimal contraception control for a nonlinear population model with size structure and a separable mortality Pages : 3603 - 3618 Rong Liu, Feng-Qin Zhang and Yuming Chen 16. Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux Pages : 3619 - 3635 Zhiqing Liu and Zhong Bo Fang 17. Weak stability for integro-differential inclusions of diffusion-wave type involving infinite delays Pages : 3637 - 3654 Thanh-Anh Nguyen, Dinh-Ke Tran and Nhu-Quan Nguyen 18. Finite-time synchronization of competitive neural networks with mixed delays Pages : 3655 - 3667 Tingting Su and Xinsong Yang 19. On the upper semicontinuity of pullback attractors for multi-valued noncompact random dynamical systems Pages : 3669 - 3708 Yejuan Wang 20. The steady state solutions to thermohaline circulation equations Pages : 3709 - 3722 Chao Xing, Ping Zhou and Hong Luo 21. Traveling waves in an SEIR epidemic model with the variable total population Pages : 3723 - 3742 Zhiting Xu 22. Permanence and ergodicity of stochastic Gilpin-Ayala population model with regime switching Pages : 3743 - 3766 Hongfu Yang, Xiaoyue Li and George Yin 23. Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case Pages : 3767 - 3792 Feng Zhou and Chunyou Sun 24. The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations Pages : 3793 - 3808 Changrong Zhu and Bin Long ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series S 9:6 From: Susan Cummins Date: Thu, 1 Dec 2016 15:51:51 -0600 Discrete and Continuous Dynamical Systems - Series S (DCDS-S) Volume: 9, Number: 6 December 2016 http://aimsciences.org/journals/contentsListnew.jsp?pubID=902 1. Preface Pages : i - ii Zhouping Xin and Tong Yang 2. Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection Pages : 1591 - 1611 Dongfen Bian 3. Sharp variational characterization and a Schrodinger equation with Hartree type nonlinearity Pages : 1613 - 1628 Jianqing Chen 4. The bifurcations of solitary and kink waves described by the Gardner equation Pages : 1629 - 1645 Yiren Chen and Zhengrong Liu 5. Periodic solutions and homoclinic solutions for a Swift-Hohenberg equation with dispersion Pages : 1647 - 1662 Shengfu Deng 6. Existence of positive solutions for a class of Kirchhoff type equations in R3 Pages : 1663 - 1685 Ling Ding and Shu-Ming Sun 7. Global existence and uniqueness of the solution for the fractional Schrodinger-KdV-Burgers system Pages : 1687 - 1699 Chunxiao Guo, Fan Cui and Yongqian Han 8. Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation Pages : 1701 - 1715 Yanfeng Guo, Jinqiao Duan and Donglong Li 9. Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum Pages : 1717 - 1752 Bingyuan Huang, Shijin Ding and Huanyao Wen 10. Global smooth solutions for the nonlinear Schrodinger equation with magnetic effect Pages : 1753 - 1773 Daiwen Huang and Jingjun Zhang 11. Periodic solutions of inhomogeneous Schrodinger flows into 2-sphere Pages : 1775 - 1795 Ping-Liang Huang and Youde Wang 12. Global well-posedness for the 3D Zakharov-Kuznetsov equation in energy space H1 Pages : 1797 - 1851 Zhaohi Huo, Yueling Jia and Qiaoxin Li 13. Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows Pages : 1853 - 1898 Fei Jiang, Song Jiang and Weiwei Wang 14. A global existence and blow-up threshold for Davey-Stewartson equations in R3 Pages : 1899 - 1912 Shiming Li, Yongsheng Li and Wei Yan 15. Well-posedness for the three-dimensional compressible liquid crystal flows Pages : 1913 - 1937 Xiaoli Li and Boling Guo 16. Existence, regularity and approximation of global attractors for weakly dissipative p-Laplace equations Pages : 1939 - 1957 Yangrong Li and Jinyan Yin 17. Existence and multiplicity of positive solutions for a class of Kirchhoff type problems at resonance Pages : 1959 - 1974 Jiafeng Liao, Peng Zhang, Jiu Liu and Chunlei Tang 18. The algebraic representation for high order solution of Sasa-Satsuma equation Pages : 1975 - 2010 Liming Ling 19. Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure Pages : 2011 - 2029 Cheng-Jie Liu, Ya-Guang Wang and Tong Yang 20. Second-order slip flow of a generalized Oldroyd-B fluid through porous medium Pages : 2031 - 2046 Yaqing Liu and Liancun Zheng 21. On the Cauchy problem of the modified Hunter-Saxton equation Pages : 2047 - 2072 Yongsheng Mi, Chunlai Mu and Pan Zheng 22. Scattering theory for energy-supercritical Klein-Gordon equation Pages : 2073 - 2094 Changxing Miao and Jiqiang Zheng 23. Quasineutral limit of the Euler-Poisson system under strong magnetic fields Pages : 2095 - 2111 Xueke Pu 24. The regularization of solution for the coupled Navier-Stokes and Maxwell equations Pages : 2113 - 2127 Wenjing Song and Ganshan Yang 25. Global exact controllability and asympotic stabilization of the periodic two-component mu-rho-Hunter-Saxton system Pages : 2129 - 2148 Jingqun Wang, Lixin Tian and Weiwei Guo 26. Wave breaking and persistent decay of solution to a shallow water wave equation Pages : 2149 - 2165 Xue Yang and Xinglong Wu 27. Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space Pages : 2167 - 2179 Baoquan Yuan and Xiao Li 28. Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations Pages : 2181 - 2200 Linghai Zhang 29. Analytical solutions of Skyrme model Pages : 2201 - 2211 Ruifeng Zhang, Nan Liu and Man An