BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY  

作　　者：秦晓红 

机构地区：[1]Department of Applied Mathematics, Nanjing University of Science and Technology

出　　处：《Acta Mathematica Scientia》2009年第5期1233-1240,共8页数学物理学报（B辑英文版）

基　　金：Partially supported by NSFC-NSAF (10676037) and NUST

摘　　要：An initial-boundary values problem in the half space （0, ∞ ） for p-system with artificial viscosity is investigated. It is shown that there exists a boundary layer solution. It is further proved that the boundary layer solution is nonlinear stable with arbitrarily large perturbation. The proof is given by an elementary energy method.An initial-boundary values problem in the half space （0, ∞ ） for p-system with artificial viscosity is investigated. It is shown that there exists a boundary layer solution. It is further proved that the boundary layer solution is nonlinear stable with arbitrarily large perturbation. The proof is given by an elementary energy method.

关 键 词：P-SYSTEM boundary layer solution large perturbation 

分 类 号：O175[理学—数学]