Nonlinear Evolution Equations and Their Applications

by Li, Ta-Tsien; Lin, Long-Wei; Rodriques, Jose Francisco

• ISBN13: 9789810240486
• ISBN10: 9810240481
• Format: Hardcover
• Copyright: 1999-10-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the Luso-chinese Symposium on Nonlinear Evolution Equations and Their Applications held at the University of Macau, Macau, China, October 7-9, 1998.

Table of Contents

Preface	v
A Noncoercive Volterra Variational Inequality Arising in a Hele-Shaw Problem	1	(10)
J. Carvalho E Silva
C. Leal
J. F. Rodrigues
Supersonic Flow in a Sharp Body	11	(10)
Chen Shuxing
Nonlinear Hyperbolic Conservation Laws	21	(24)
J. M. Correia
P. G. LeFloch
Convergence to Equilibria of Solutions to the Coagulation-Fragmentation Equations	45	(12)
F. P. da Costa
Stochastic Evolution Equations in Duals of Nuclear Frechet Spaces	57	(15)
Ding Deng
Creation and Propagation of Oscillations in One Dimensional Elasticity with Surface Energy	72	(9)
Irene Fonseca
Jack Schaeffer
Mikhail M. Shvartsman
Quasilinear Hyperbolic Systems with Damping Mechanism	81	(11)
Ling Hsiao
Ling Xiao
Existence of the Pulse-Like Traveling Wave Solution of a Nonlinear Equation	92	(9)
Huang Sixun
The Euler Equations in the Unified Coordinates	101	(8)
W. H. Hui
A Note on Lipschitz Continuous Solutions of a Parabolic Quasi-Variational Inequality	109	(7)
M. Kunze
M. D. P. Monteiro Marques
The Dominator of Compressible Euler Equations	116	(12)
Jiequan Li
Tong Zhang
Mechanism of Formation of Singularities for Quasilinear Hyperbolic Systems	128	(12)
Li Ta-tsien
Li Da-qian
Separation of Variables for Soliton Equations via Lax Pair by Constraint	140	(8)
Yishen Li
On the Lax-Friedrichs' Scheme for Small Solutions	148	(15)
Long-Wei Lin
Symmetric Stability Problems in the Atmospheric Dynamics	163	(14)
Mu Mu
Wu Yonghui
On Nonlinear Parabolic Equations of Infinite Order Arising in Semiconductivity	177	(7)
M. Povoas
Travelling Wave Solutions to Nonlinear Three Dimensional Viscoelastic System with Memory	184	(7)
Qin Tiehu
Ni Guoxi
On a Class of Parabolic Equations with Nonlocal Terms and Applications	191	(12)
Jose-Francisco Rodrigues
A parabolic variational inequality with non-constant gradient constraint	203	(10)
Lisa Santos
Removable Singularities of Non--Bounded Solutions to Quasilinear Parabolic Equations	213	(12)
Luis M. R. Saraiva
On the Stefan Problem with Convection and Nonlinear Diffusion in a Porous Medium	225	(12)
Jose Miguel Urbano
On the Vacuum State for the Equations of Isentropic Gas Dynamics II	237	(14)
Seak-Weng Vong
The Weak Solutions to The Initial-Boundary Value Problem for Boltzmann-Poisson System	251	(9)
Wang Yuan-ming
Cui Guo-zhong
Global Continuous Solutions for a Resonant Non-Strictly Hyperbolic Conservation Laws Systems	260	(5)
Ye Xiaoping
3-D Superconductor Free Boundary Problem Involving Mean Curvature and Kinetic Undercooling	265	(15)
Yi Fahuai
Cahn-Hilliard Type Equations with Non-Constant Mobility	280	(8)
Yin Jingxue
Liu Changchun
Asymptotic Behaviors of One-Dimensional Ginzburg-Landau Model of Superconductivity	288	(8)
Yu Wanghui
Blow--up Estimates for Reaction-Diffusion Systems	296	(11)
Sining Zheng
Global Weak Solutions of the Harmonic Flow into Compact Riemannian Manifold	307	(12)
Zhou Chunqin
List of Invited Lectures	319