带退化粘性项的单个守恒律一般初边值问题的解的L^p-收敛率

The L^p-Convergence Rate for Initial-Boundary Value Problem of Scalar Conservation Law with Degenerate Viscosity

在半空间中讨论具有一般边界的带退化粘性项的单个守恒律初边值问题的解的收敛率.在流函数为凸条件下,使用L1-估计导出了解渐近衰减到稀疏波的1个Lp-衰减估计,从而澄清了一般边界条件对衰减率的影响.

It is concerned with convergence rates toward the rarefaction waves of the solutions of the initial boundary data problem for scalar conservation law with degenerate viscosity and the general boundary data. Under the condition of convex flux, using L1-estimate derives a LP-decay rate of the rarefaction wave for scalar conserva： tion law with degenerate viscosity. From this decay rate estimate, the effect of the general boundary data on the decay rate is clarified.