Initial-boundary value problems for a class of nonlinear thermoelastic plate equations |
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| Authors: | Zhang Jian-Wen Rong Xiao-Liang and Wu Run-Heng |
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| Institution: | College of Sciences, Taiyuan University of Technology, Taiyuan 030024, China; College of Sciences, North China University of Technology, Beijing 100041, China |
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| Abstract: | This paper studies initial-boundary value problems for a class
of nonlinear thermoelastic plate equations. Under some certain
initial data and boundary conditions, it obtains an existence and
uniqueness theorem of global weak solutions of the nonlinear
thermoelstic plate equations, by means of the Galerkin method.
Moreover, it also proves the existence of strong and
classical solutions. |
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| Keywords: | thermoelastic hinged plate weak solution classical solution |
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