Instability, nonexistence, and uniqueness in elasticity with porous dissipation. (3rd January 2006)

• Record Type: Journal Article
• Authors: Leseduarte Leseduarte, M. C. M. C.; Quintanilla Quintanilla, R. R.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2006/2006)
• Publication Date: 2006-01-03
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/DENM/2006/68748
• Languages: English
• ISSNs: 1687-4099

Abstract

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.