Dynamics of thermoelastic plate system with terms concentrated in the boundary
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولMaximal regularity for the thermoelastic plate equations with free boundary conditions
We consider the linear thermoelastic plate equations with free boundary conditions in the Lp in time and Lq in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C-domain, which includes the cases of a bounded domain and of an exterior domain with C-boundary. Moreover, we prove uniform a priori-estimates for the solution. The proof is ...
متن کاملLong-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations
We prove the existence of a compact, finite dimensional, global attractor for a coupled PDE system comprising a nonlinearly damped semilinear wave equation and a nonlinear system of thermoelastic plate equations, without any mechanical (viscous or structural) dissipation in the plate component. The plate dynamics is modelled following Berger’s approach; we investigate both cases when rotational...
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2019
ISSN: 1847-120X
DOI: 10.7153/dea-2019-11-18