Acta mathematica scientia, Series B >
BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY
Received date: 2007-05-18
Online published: 2009-09-20
Supported by
Partially supported by NSFC-NSAF(10676037) and NUST
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
QIN Xiao-Hong . BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1233 -1240 . DOI: 10.1016/S0252-9602(09)60100-4
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