Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation
作者:
Irena Lasiecka,
期刊:
Communications in Partial Differential Equations
(Taylor Available online 1999)
卷期:
Volume 24,
issue 9-10
页码: 1801-1847
ISSN:0360-5302
年代: 1999
DOI:10.1080/03605309908821483
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The full von Karman system accounting for in plane acceleration and thermal effects is considered. The main results of the paper are: (i) the wellposedness of regular and weak (finite energy) solutions, (ii) the uniform decay rates obtained for the energy function in the presence of boundary damping affecting only the velocity field representing in plane displacements of the plate. The key role in these results is played by: (i) new sharp regularity estimates for the boundary traces of elastic systems and (ii) newly established properties of analyticity of semigroups arising in thermoelastic systems with free boundary conditions.
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