Convergence Rate to the Stationary Waves for Viscous Conservation Laws with Non-convexity on the Half Space

摘要

We study the initial-boundary value problem for scalar viscous conservation laws with non-convexity on the half line. Hashimoto- Matsumura [1] had already shown the asymptotic stability result toward the stationary solution. In this paper, we derive the corresponding convergence rate for the stationary solution constructed in [1]. Our proof is based on the time-spatial weighted L2 energy method.