Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 64, pp. 1-17.

Title: On a nonlinear coupled system with internal damping

Author: R. F. Apolaya (Univ. Federal Fluminense, RJ, Brasil)
        H. R. Clark   (Univ. Federal Fluminense, RJ, Brasil)
        A. J. Feitosa (Univ. Federal da Paraiba, PB, Brasil)
         
Abstract: 
  The purpose of this paper is to establish existence, uniqueness, and 
 asymptotic behavior of solutions of a non-linear coupled system with variable 
 coefficients, with coupling of a  non-linear wave equation,  and a linear 
 heat equation in a smooth-bounded-open domain of $R^n$. 

Submitted July 24, 2000. Published October 18, 2000.
Math Subject Classifications: 35L70, 35B40.
Key Words: Nonlinear system; internal damping; asymptotic behavior.