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- Title
EXISTENCE AND ASYMPTOTIC STABILITY FOR GENERALIZED ELASTICITY EQUATION WITH VARIABLE EXPONENT.
- Authors
Dilmi, Mohamed; Otmani, Sadok
- Abstract
In this paper we propose a new mathematical model describing the deformations of an isotropic nonlinear elastic body with variable exponent in dynamic regime. We assume that the stress tensor sp(·) has the form where u is the displacement field, µ, are the given coefficients d(·) and I3 are the deformation tensor and the unit tensor, respectively. By using the Faedo-Galerkin techniques and a compactness result we prove the existence of the weak solutions, then we study the asymptotic behaviour stability of the solutions.
- Subjects
STRAINS &; stresses (Mechanics); ELASTICITY; EXPONENTS; MATHEMATICAL models; EQUATIONS
- Publication
Opuscula Mathematica, 2023, Vol 43, Issue 3, p409
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2023.43.3.409