Kdv-Burgers方程初边值问题的L^p-衰减估计

L^p-decay rate of initial-boundary value problem of Kdv-Burgers equation

在半空间中讨论具有一般边界的广义KDV-Burgers方程的解收敛到稀疏波的收敛率.在流函数为凸和小扰动的条件下,使用L1-估计导出了解渐近衰减到稀疏波的一个Lp-衰减估计,从而澄清了一般边界条件对衰减率的影响.

This paper was concerned with convergence rates toward the rarefaction waves of the solutions for general KDV-Burgers equation.Under the condition of convex flux and small perturbation for the initial data,using L-1-estimate derives a Lp-decay rate of the rarefaction wave for general KDV-Burgers equation.From the decay rate estimation,the effect of the general boundary data on the decay rate was clarified.