The Global Solution of Viscoelastic Thin Rectangular Plate Equation

Dan Xia Wang; Jian Wen Zhang

doi:10.4028/www.scientific.net/AMM.29-32.577

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 29-32The Global Solution of Viscoelastic Thin...

The Global Solution of Viscoelastic Thin Rectangular Plate Equation

Abstract:

In this paper, we consider a class of nonlinear viscoelastic plate equation with strong damping which arises from the model of the viscoelastic thin rectangular plate with four edges supported. By virtue of Faedo-Galerkin method combined with the priori estimates, we prove the existence and uniqueness of the global strong solution under certain initial-boundary data for the above-mentioned equation.

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Periodical:

Applied Mechanics and Materials (Volumes 29-32)

Pages:

577-582

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.29-32.577

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Online since:

August 2010

Authors:

Dan Xia Wang, Jian Wen Zhang

Keywords:

Four Edges Supported, Global Strong Solution, Strong Damping, Viscoelastic Plate

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