论文标题
在周期性扰动下，对冲击波的收敛速率用于广义korteweg-de-vries-burgers方程
Convergence rate toward shock wave under periodic perturbation for generalized Korteweg-de Vries-Burgers equation
论文作者
论文摘要
在本文中，研究了广义korteweg-de-vries-burgers方程的空间周期性扰动下的粘性冲击波。结果表明，如果粘性冲击波周围的初始周期性扰动很小，则溶液时间渐近地倾向于由周期振荡部分确定的偏移的粘性冲击波。此外，对于某些某些扰动，还获得了粘性冲击波的指数时间衰减速率。
In this paper, a viscous shock wave under space-periodic perturbation of generalized Korteweg-de Vries-Burgers equation is investigated. It is shown that if the initial periodic perturbation around the viscous shock wave is small, then the solution time asymptotically tends to a viscous shock wave with a shift partially determined by the periodic oscillations. Moreover the exponential time decay rate toward the viscous shock wave is also obtained for some certain perturbations.
