TY - JOUR
T1 - Inviscid Limit for Scalar Viscous Conservation Laws in Presence of Strong Shocks and Boundary Layers
AU - Ma , Shixiang
JO - Journal of Partial Differential Equations
VL - 2
SP - 171
EP - 186
PY - 2012
DA - 2012/06
SN - 25
DO - http://doi.org/10.4208/jpde.v25.n2.4
UR - https://global-sci.org/intro/article_detail/jpde/5181.html
KW - Scalar viscous conservation laws
KW - inviscid limit
KW - single shock
KW - initial boundary value problem
AB - <p>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 fromthe shock discontinuity and the boundary at a rate of ε^1 as the viscosity ε tends to zero.</p>