摘要
On Uniform Decay for Transmission Problem of Kirchhoff Type Viscoelastic Wave Equation Jeong Ja BAE Abstract In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations,that is,the wave propagation over bodies consisting of two physically different types of materials.One component is a simple elastic part while the other is a viscoelastic component endowed with a long range memory.We show that the dissipation produced by the viscoelastic part is strong enough to produce exponential or polynomial decay of the solution.
On Uniform Decay for Transmission Problem of Kirchhoff Type Viscoelastic Wave Equation
Jeong Ja BAE
Abstract In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations, that is, the wave propagation over bodies consisting of two physically different types of materials.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2010年第5期I0001-I0004,共4页
Acta Mathematica Sinica:Chinese Series