Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws
Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws
This paper considers the viscous approximations to conservation laws with nonconvex flux function. It is shown that if the entropy solutions are piecewise smooth, then the rate of L1 -convergence is a fractional number in (0.5, 1]. This is in contrast to the corresponding result for the convex conservation laws. …