ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION

doi:10.1016/S0252-9602(13)60004-1

摘要/Abstract

摘要：

In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physically different types of materials, one component being a Kirchhoff type wave equation with time dependent localized dissipation which is effective only on a neighborhood of certain part of boundary, while the other being a Kirchhoff type viscoelastic wave equation with nonlinear memory.

关键词: Existence of solution, uniform decay, transmission problem, boundary value problem, localized dissipation

Abstract:

Key words: Existence of solution, uniform decay, transmission problem, boundary value problem, localized dissipation

中图分类号:

35L05

Jeong Ja BAE, Seong Sik KIM. ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION[J]. 数学物理学报(英文版), 2013, 33(2): 362-374.

Jeong Ja BAE, Seong Sik KIM. ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION[J]. Acta mathematica scientia,Series B, 2013, 33(2): 362-374.

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