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Special Session 37

Global or/and blowup solutions for nonlinear evolution equations and their applications

Organizer(s):

Shaohua George Chen

Ming Mei

Introduction:

This session is devoted to the recent developments in global or/and blowup solutions for nonlinear evolution equations and their applications, include reaction-diffusion equations, fluid dynamics, delay, localized, non-local, degenerate evolution equations, steady states and their properties.

List of abstracts Go Back
Name	Country	Title
Zhijian Yang	Peoples Rep of China	Longtime dynamics for the strongly damped wave equation with critical and supercritical nonlinearities
Masahiro Suzuki	Japan	Boundary layers to the Euler-Poisson equations for a multicomponent plasma
Haifeng Hu	Peoples Rep of China	Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors
Stanislav Antontsev	Portugal	Hyperbolic equations with variable nonlinearity: existence and blow-up
Sergey Shmarev	Spain	Localization of solutions of doubly nonlinear parabolic equations with anisotropic variable growth
ChangMing Song	Peoples Rep of China	Global existence of the singularly perturbed Boussinesq-type equation
Dmitry Zezyulin	Portugal	Blow up in coupled parity-time symmetric nonlinear Schr\"odinger equations
Shaohua Chen	Canada	Convergence to Steady State for Degenerate Parabolic Equations
Eylem Ozturk	Turkey	Solvability and long time behavior of nonlinear Reaction-Diffusion equations with Robin Boundary Condition
Jean C Cortissoz	Colombia	Blow-up for possible singular solutions of the Navier-Stokes equations
Hiroki Ueno	Japan	On the thin film approximation for the flow of a viscous incompressible fluid down an inclined plane
Jingyu Li	Peoples Rep of China	On a hyperbolic equation in MEMS
Corrado Mascia	Italy	Metastable dynamics in conservation laws
Stella Vernier-Piro	Italy	Blow-up solutions in a Keller-Segel type system modelling the chemotaxis phenomenon
Corrado Lattanzio	Italy	Existence and stability of traveling waves for an Allen-Cahn model with relaxation
Xiongfeng Yang	Peoples Rep of China	The global existence of solution to the damped wave equations
Donatella Donatella	Italy	Global in time weak solutions for a nonlinear model for tumor growth.
Maria Michaela M Porzio	Italy	Decay estimates for unbounded solutions
Chi-Tien Lin	Taiwan	Numerical Results on Asymptotic Stability of Travelling Wave for Nicholson's Blowflies Equation
Evangelos A Latos	Austria	Existence and blow-up of solutions for semilinear filtration problems
Shinya Nishibata	Japan	Stationary solutions to symmetric hyperbolic-parabolic systems in half space
Shubin Wang	Peoples Rep of China	Global existence and asymptotic behavior of solution for sixth order Boussinesq equation with damped term
Dung Le	USA	Smooth Solutions to Strongly Coupled Elliptic Systems on 2D Domains
Yoshihiro Ueda	Japan	Decay structure of the regularity-loss type and the asymptotic stability for the Euler-Maxwell system
To Fu Ma	Brazil	Long-time dynamics of a thermoelastic plate with second sound
Bruno Rubino	Italy	Bohmenian type boundary conditions for quantum hydrodynamics
Daniela D Giachetti	Italy	Problems with singularity in the u variable: nonnegative solutions