Abstract
In this paper, we study the inviscid limit problem for the scalar viscous con- servation laws on half plane. We prove that if the solution of the corresponding in- viscid 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 e 1 as the viscosity e tends to zero.
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