Analyticity of transmission problem to thermoelastic plates. (English) Zbl 1215.35049
Summary: We consider an oscillation model of a plate comprised of two different thermoelastic materials; that is, we study a transmission problem of thermoelastic plates. Our main result is to prove that the corresponding semigroup associated with this problem is of analytic type.
MSC:
| 35G46 | Initial-boundary value problems for systems of linear higher-order PDEs |
| 74H40 | Long-time behavior of solutions for dynamical problems in solid mechanics |
| 74K20 | Plates |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 74F05 | Thermal effects in solid mechanics |
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