Nonlinear Evolution Equations and Infinite-Dimensional Dynamical Systems

Proceedings of the Conference

Conference on Nonlinear Evolution Equations and Infinite-Dimensional Dynamical Systems

, Shanghai, China

, 12 – 16 June 1995

https://doi.org/10.1142/3403 | March 1997

Pages: 284

Edited by:
Li Ta-Tsien (Fudan University, China)

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ISBN: 978-981-4546-42-3 (ebook) USD 35.00 Add to cart

This volume contains 30 research papers presenting the recent development and trend on the following subjects: nonlinear hyperbolic equations (systems); nonlinear parabolic equations (systems); infinite-dimensional dynamical systems; applications (free boundary problems, phase transitions, etc.).

Contents:

On Global Properties of Some Nonlinear Parabolic Equations (M Ben-Artzi)
Linearization of Shock Reflection by Almost Perpendicular Ramp (S X Chen)
On the L2-Regularity Theorems for a Family of Stokes Type Systems (H B Da Veiga)
A Finite Volume Implicit Method Based on Characteristic Flux for Solving Hyperbolic Systems of Conservation Laws (J-M Ghidaglia et al.)
Various Phenomena on the Large-Time Behavior of Solutions to the System in Nonlinear Thermoviscoelasticity (L Hsiao)
Life-Span of Classical Solutions to Nonlinear Wave Equations in Four Space Dimensions (T T Li)
The Dynamical Law of Ginzburg–Landau Vortices (F H Lin)
On KAM Theory for Perturbation of Integrable Infinite-Dimensional Hamiltonian Systems (Q J Qiu)
A Discrete Velocity Model for Metastable Fluid Flow (M Slemrod)
Free Boundary Problems for the Navier–Stokes Equations with Moving Cantact Points (V A Solonnikov)
Local Solvability to Nonlinear Degenerate Parabolic Systems (S Spagnolo)
Nonlinear Wave Equations with Weak Dissipation (Y C You)
Mathematical Results on the Coupled Cahn–Hilliard Equations (S M Zheng)
and other papers

Readership: Mathematicians.

No Access

Nonlinear Evolution Equations and Infinite-Dimensional Dynamical Systems: Proceedings of the Conference

Li Ta-Tsien

Pages:1–286

https://doi.org/10.1142/9789814530019

Preview Abstract

The Table of Contents for the book is as follows:

Preface
On global properties of some nonlinear parabolic equations
Higher-order Boussinesq systems for two-way propagations of water waves
Linearization of shock reflection by almost perpendicular ramp
Regularity of weak flow of harmonic maps into manifolds with symmetries
On the L²-regularity theorems for a family of Stokes type systems
Some results and open problems on nonlinear parabolic equations
A finite volume implicit method based on characteristic flux for solving hyperbolic systems of conservation laws
Cauchy problem of nonlinear Schrödinger–Boussinesq equation in L² and H¹
Various phenomena on the large-time behavior of solutions to the system in non-linear thermoviscoelasticity
Solutions of the Euler equations near the Riemann ellipsoids
Life-span of classical solutions to nonlinear wave equations in four space dimensions
The dynamical law of Ginzburg–Landau vortices
Uniqueness of lower semicontinuous solutions for Hamilton Jacobi equations arising from L^∞ control problem
Critical blow-up and asymptotic behavior of solutions to quasilinear degenerate parabolic equations in exterior domain
Periodic weak solutions to boundary value problem of nonlinear viscoelastic dynamic equation with memory
On KAM theory for perturbation of integrable infinite dimensional Hamiltonian systems
Asymptotic behavior of damped systems and generalized Fourier transforms
On L_p – L_q estimates for solutions of a special weakly hyperbolic equation
The regularity of solutions of the initial boundary value problem for quasi-linear symmetric hyperbolic systems with characteristic boundary
A discrete velocity model for metastable fluid flow
Free boundary problems for the Navier–Stokes equations with moving contact points
Local solvability to nonlinear degenerate parabolic systems
Nonexistence of global solutions to semilinear wave equations
Mathematical behavior of solutions of the Ginzburg–Landau system
On Burgers' original model system of turbulence with two components in the secondary motion
Global existence of small amplitude solutions for the Klein–Grodon–Zakharov equations
Nonlinear stability of difference schemes for shock waves
Optimal controls for semilinear evolution equations with pointwise state constraints
Nonlinear wave equations with weak dissipation
Mathematical results on the coupled Cahn–Hilliard equations
List of invited lectures
List of other presentations