Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 68748, 14 pages
doi:10.1155/DENM/2006/68748

Instability, nonexistence, and uniqueness in elasticity with porous dissipation

Abstract

This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backward in time problem of the linear equations.