Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1233-1240.doi: 10.1016/S0252-9602(09)60100-4

• Articles • Previous Articles     Next Articles

BOUNDARY LAYER SOLUTION FOR  p-SYSTEM WITH ARTIFICIAL VISCOSITY

 QIN Xiao-Hong   

  1. Department of Applied Mathematics, Nanjing University |of Science and Technology, Nanjing 210094, China
  • Received:2007-05-18 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Partially supported by  NSFC-NSAF(10676037) and NUST

Abstract:

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.

Key words: psystem, boundary layer solution, large perturbation

CLC Number: 

  • 35L65
Trendmd