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Mathematics and Mechanics of Solids
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Some Properties of Solutions in Dynamical Theory of Mixtures

D. Iesan

Department of Mathematics, University Al. L Cuza, Iasi, Romania

L. Nappa

Istituto di Costruzioni, Facolta di Architettura, via Monteoliveto 3, 80134 Naples, Italy

In this article, the authors consider the linearized dynamic theory of a binary mixture consisting of an elastic solid and a gas. First, the continuous dependence of solutions on initial data and body forces is established. Then, a spatial decay estimate of an energetic measure associated to an admissible process is derived.

Mathematics and Mechanics of Solids, Vol. 2, No. 3, 351-360 (1997)
DOI: 10.1177/108128659700200308
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R. Quintanilla
On Uniqueness and Continuous Dependence in the Nonlinear Theory of Mixtures of Elastic Solids with Voids
Mathematics and Mechanics of Solids, June 1, 2001; 6(3): 281 - 298.
[Abstract] [PDF]