INITIAL BOUNDARY VALUE PROBLEM FOR A NONCONSERVATIVE SYSTEM IN ELASTODYNAMICS

作     者：K.Divya JOSEPH P.A.DINESH Department of Mathematics M.S.Ramaiah Institute of Technology MSRIT P.O K.Divya JOSEPH;P.A.DINESH

作者机构：Department of Mathematics M.S.Ramaiah Institute of Technology MSRIT P.O 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2018年第38卷第3期

页      面：1043-1056页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Elastodynamics viscous shocks 

摘      要：This article is concerned with the initial boundary value problem for a nonconservative system of hyperbolic equation appearing in elastodynamics in the space time domain x 〉 0, t 〉 0. The number of boundary conditions, to be prescribed at the boundary x = 0,depends on the number of characteristics entering the domain. Because our system is nonlinear, the characteristic speeds depends on the unknown and the direction of the characteristics curves are known apriori. As it is well known, the boundary condition has to be understood in a generalised way. One of the standard way is using vanishing viscosity method. We use this method to construct solution for a particular class of initial and boundary data, namely the initial and boundary datas that lie on the level sets of one of the Riemann invariants.