摘要
In this paper, we study the inviscid limit problem for the scalar viscous conservation laws on half plane. We prove that if the solution of the corresponding inviscid equation on half plane is piecewise smooth with a single shock satisfying the entropy condition, then there exist solutions to the viscous conservation laws which converge to the inviscid solution away from the shock discontinuity and the boundary at a rate of ε1 as the viscosity ε tends to zero.
基金
Acknowledgments The author is supported by Tianyuan Foundation （No. 11026093） and the National Natural Science Foundation of China （Nos. 11101162, 11071086）.
