Nonlinear Evolution Equations and Their Applications

Proceedings of the Luso-Chinese Symposium

Luso-Chinese Symposium on Nonlinear Evolution Equations and Their Applications

, Macau

, 7 – 9 October 1998

https://doi.org/10.1142/4200 | September 1999

Pages: 332

Edited by:
Ta-Tsien Li (Fudan University, China),
Long-Wei Ling (University of Macau, China), and
José Francisco Rodriques (University of Lisbon, Portugal)

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ISBN: 978-981-4543-44-6 (ebook) USD 30.00 Add to cart

This book discusses recent trends and developments in the area of nonlinear evolution equations. It is a collection of invited lectures on the following topics: nonlinear parabolic equations (systems); nonlinear hyperbolic systems; free boundary problems; conservation laws and shock waves; travelling and solitary waves; regularity, stability and singularity, etc.

Sample Chapter(s)
A Noncoercive Volterra Variational Inequality Arising in a Hele-Shaw Problem (276 KB)

Contents:

Supersonic Flow in a Sharp Body (S-X Chen)
Stochastic Evolution Equations in Duals of Nuclear Fréchet Spaces (D Ding)
Quasilinear Hyperbolic Systems with Damping Mechanism (L Hsiao)
The Euler Equations in the Unified Coordinates (W H Hui)
The Dominator of Compressible Euler Equations (J-Q Li & T Zhang)
Mechanism of Formation of Singularities for Quasilinear Hyperbolic Systems (T-T Li)
Separation of Variables for Soliton Equations via Lax Pair by Constraint (Y-S Li)
On the Lax–Friedrichs' Scheme for Small Solutions (L-W Lin)
Symmetric Stability Problems in the Atmospheric Dynamics (M Mu & Y-H Wu)
On a Class of Parabolic Equations with Nonlocal Terms and Applications (J-F Rodrigues)
A Parabolic Variational Inequality with Non-Constant Gradient Constraint (L Santos)
On the Stefan Problem with Convection and Nonlinear Diffusion in a Porous Medium (J M Urbano)
Cahn-Hilliard Type Equations with Non-Constant Mobility (J-X Yin & C-C Liu)
and other papers

Readership: Mathematicians.

No Access

Nonlinear Evolution Equations and Their Applications: Proceedings of the Luso-Chinese Symposium

Pages:1–334

https://doi.org/10.1142/9789814527170

Preview Abstract

The Table of Contents for the book is as follows:

Preface
A Noncoercive Volterra Variational Inequality Arising in a Hele–Shaw Problem
Supersonic Flow in a Sharp Body
Nonlinear Hyperbolic Conservation Laws
Convergence to Equilibria of Solutions to the Coagulation-Fragmentation Equations
Stochastic Evolution Equations in Duals of Nuclear Fréchet Spaces
Creation and Propagation of Oscillations in One Dimensional Elasticity with Surface Energy
Quasilinear Hyperbolic Systems with Damping Mechanism
Existence of the Pulse-Like Traveling Wave Solution of a Nonlinear Equation
The Euler Equations in the Unified Coordinates
A Note on Lipschitz Continuous Solutions of a Parabolic Quasi-Variational Inequality
The Dominator of Compressible Euler Equations
Mechanism of Formation of Singularities for Quasilinear Hyperbolic Systems
Separation of Variables for Soliton Equations via Lax Pair by Constraint
On the Lax-Friedrichs' Scheme for Small Solutions
Symmetric Stability Problems in the Atmospheric Dynamics
On Nonlinear Parabolic Equations of Infinite Order Arising in Semiconductivity
Travelling Wave Solutions to Nonlinear Three Dimensional Viscoelastic System with Memory
On a Class of Parabolic Equations with Nonlocal Terms and Applications
A parabolic variational inequality with non-constant gradient constraint
Removable Singularities of Non–Bounded Solutions to Quasilinear Parabolic Equations
On the Stefan Problem with Convection and Nonlinear Diffusion in a Porous Medium
On the Vacuum State for the Equations of Isentropic Gas Dynamics II
The Weak Solutions to The Initial-Boundary Value Problem for Boltzmann-Poisson System
Global Continuous Solutions for a Resonant Non-Strictly Hyperbolic Conservation Laws Systems
3-D Superconductor Free Boundary Problem Involving Mean Curvature and Kinetic Undercooling
Cahn-Hilliard Type Equations with Non-Constant Mobility
Asymptotic Behaviors of One-Dimensional Ginzburg-Landau Model of Superconductivity
Blow–up Estimates for Reaction-Diffusion Systems
Global Weak Solutions of the Harmonic Flow into Compact Riemannian Manifold
List of Invited Lectures