Existence and New General Decay Results for a Viscoelastic Timoshenko System
Jamilu Hashim Hassan, Salim A. Messaoudi, Mostafa Zahri
Abstract
In this paper, we are concerned with a memory-type Timoshenko system with Dirichlet boundary conditions and a very general class of relaxation functions. We prove the existence and uniqueness of solutions of the system as well as some new decay results which generalize and improve many earlier ones in the literature. We consider the case of equal-speeds and the case of non-equal-speeds of propagation. We also give some numerical illustrations and related comparisons.
Topics & Concepts
UniquenessViscoelasticityMathematicsClass (philosophy)Relaxation (psychology)Dirichlet boundary conditionDirichlet distributionMathematical analysisType (biology)Boundary value problemBoundary (topology)Applied mathematicsPure mathematicsPhysicsComputer sciencePsychologyArtificial intelligenceEcologyBiologySocial psychologyThermodynamicsStability and Controllability of Differential EquationsNumerical methods for differential equationsDifferential Equations and Numerical Methods