Irena Lasiecka, Roberto Triggiani, "Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.", Abstract and Applied Analysis, vol. 3, Article ID 428531, 17 pages, 1998. https://doi.org/10.1155/S1085337598000487
Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic and, hence, uniformly stable. Because of the boundary (high) coupling, this case of B.C. is not contained in, and is more challenging than, recent known cases of the literature [L-R.1], [L-L.1], [L-T.1].
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