A Linear Hyperbolic System with Stiff Source Terms  

作　　者：XU Hongmei WANG Weike 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, China [2]Department of Mathematics, Shanghai Jiao Tong University,Shanghai 200030, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第2期207-210,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10131050)

摘　　要：We consider the behavior of solutions to the system ut ＋vx =0, vt ＋ux =（au-v）/τ as the relaxation parameter τ approaches 0. If the sub characteristic condition｜a｜ is satisfied, then u approaches a solution to the equilibrium equation ut ＋ aux = 0 and v approaches au. If this condition is violated then solutions have not Fourier transformation when τ→0.We consider the behavior of solutions to the system ut ＋vx =0, vt ＋ux =（au-v）/τ as the relaxation parameter τ approaches 0. If the sub characteristic condition｜a｜ is satisfied, then u approaches a solution to the equilibrium equation ut ＋ aux = 0 and v approaches au. If this condition is violated then solutions have not Fourier transformation when τ→0.

关 键 词：hyperbolic system RELAXATION Green function 

分 类 号：O175.28[理学—数学]