Open AccessWell-posedness and stability for Bresse-Timoshenko type systems with thermodiffusion effects and nonlinear damping
Author(s) -
Khaled Zennir,
Djamel Ouchenane,
Abdelbaki Choucha,
Mohamed Biomy
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021164
Subject(s) - uniqueness , nonlinear system , exponential stability , mathematics , mathematical analysis , timoshenko beam theory , polynomial , multiplier (economics) , stability (learning theory) , galerkin method , thermodynamics , physics , finite element method , computer science , macroeconomics , quantum mechanics , machine learning , economics
Nonlinear Bresse-Timoshenko beam model with thermal, mass diffusion and theormoelastic effects is studied. We state and prove the well-posedness of problem. The global existence and uniqueness of solution is proved by using the classical Faedo-Galerkin approximations along with two a priori estimates. We prove an exponential stability estimate under assumption $ (2.3)_{1} $ and polynomial decay rate for solution under $ (2.3)_{2} $, by using a multiplier technique combined with an appropriate Lyapuniv functions.