中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3693-3701.doi: 10.1088/1674-1056/18/9/014

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

吴润衡1, 张建文2, 荣晓亮2   

  1. (1)College of Sciences, North China University of Technology, Beijing 100041, China; (2)College of Sciences, Taiyuan University of Technology, Taiyuan 030024, China
  • 收稿日期:2008-04-09 修回日期:2008-06-25 出版日期:2009-09-20 发布日期:2009-09-20

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

Zhang Jian-Wen(张建文)a)†, Rong Xiao-Liang(荣晓亮)a), and Wu Run-Heng(吴润衡)b)   

  1. a College of Sciences, Taiyuan University of Technology, Taiyuan 030024, China; b College of Sciences, North China University of Technology, Beijing 100041, China
  • Received:2008-04-09 Revised:2008-06-25 Online:2009-09-20 Published:2009-09-20

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摘要： 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.

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.

Key words: thermoelastic, hinged plate, weak solution, classical solution

中图分类号:  (Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))

  • 46.25.Hf
02.60.Lj (Ordinary and partial differential equations; boundary value problems) 02.70.Dh (Finite-element and Galerkin methods)