Global regular solutions to two-dimensional thermoviscoelasticity

Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity

Zhiyong Ma College of Science, Shanghai Second Polytechnic University, Shanghai 201209, China Correspondence should be addressed to Zhiyong Ma, [email protected] Received 4 May 2011; Revised 28 June 2011; Accepted 30 June 2011 Academic Editor: Stanisław Migórski Copyright q 2011 Zhiyong Ma. This is an open access article distributed under the Creative Commons Attribution License, which ...

Large-time behaviour of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity with memory

This paper is concerned with the large-time behaviour of globally defined smooth solutions of the initial-boundary value problem for the one-dimensional nonlinear thermoviscoelasticity system with memory. c © 2007 Published by Elsevier Ltd

Two Dimensional Water Waves in Holomorphic Coordinates Ii: Global Solutions

This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove that small localized data leads to global solutions. This article is a continuation of authors’ earlier paper [11].

Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases

In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of the smooth solution to the Cauchy problem for two-dimensional flow of Chaplygin gases.

Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas