Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501619 | Journal of Differential Equations | 2005 | 25 Pages |
Abstract
We study the zero-dissipation problem of the Keyfitz-Kranzer system in L2 and L1 spaces. When the solution of the inviscid problem is piecewise smooth and has finitely many noninteracting shocks with finite strength, there exists, for each ε (the viscosity), unique solution to the viscous problem with modified initial data and it converges to the given inviscid solution away from shock discontinuities as ε tends to zero. Convergence rates are given in terms of ε. The proof is given by a matched asymptotic analysis and a weighted elementary energy method.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wang Huiying,