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A note on the equations of a thermoelastic plate

โœ Scribed by Z.-Y. Liu; M. Renardy


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
234 KB
Volume
8
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES


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## Abstract Obtained are the existence of solutions and the local energy decay of a linear thermoelastic plate equation in a 3 dim. exterior domain. The thermoplate equation is formulated as a Sobolev equation in the abstract framework. Our proof of the existence theorem is based on an argument due

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We consider the initial-boundary value problem for a linear thermoelastic plate equation and we prove that the energy associated to the system decays exponentially to zero as time goes to infinity. 1997

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โœ Yuka Naito ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 261 KB

## Abstract This paper is concerned with the thermoelastic plate equations in a domain ฮฉ: subject to the boundary condition: __u__|=__D__~ฮฝ~__u__|=ฮธ|=0 and initial condition: (__u, u__~__t__~, ฮธ)|~__t__=0~=(__u__~0~, __v__~0~, ฮธ~0~). Here, ฮฉ is a bounded domain in โ„^__n__^(__n__โ‰ง2). We assume tha