Initial-boundary value problems for a class of nonlinear thermoelastic plate equations

doi:10.1088/1674-1056/18/9/014

Abstract

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.

Keywords: thermoelastic hinged plate weak solution classical solution

Received: 09 April 2008
Revised: 25 June 2008
Accepted manuscript online:

PACS:	46.25.Hf	(Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	02.70.Dh	(Finite-element and Galerkin methods)

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Zhang Jian-Wen(张建文), Rong Xiao-Liang(荣晓亮), and Wu Run-Heng(吴润衡) Initial-boundary value problems for a class of nonlinear thermoelastic plate equations 2009 Chin. Phys. B 18 3693

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Initial-boundary value problems for a class of nonlinear thermoelastic plate equations

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