澳门新葡新京,澳门新葡新京官方网站

08-26【董 昭】Zoom 天元基金几何与随机分析及其应用交叉讲座之171

澳门新葡新京:卢珊珊发布时间:2020-08-21浏览次数:182


报告题目:Stability of rarefaction wave for stochastic Burger equation


报告人:Zhao Dong

Academy of Mathematics and Systems Science, CAS


报告时间:826  15:00


报告地点:Zoom ID: 2571159792



Abstract: The large time behavior of strong solutions to the stochastic Burgers equation is considered in this paper. It is first shown that the unique global strong solution to the one dimensional stochastic Burgers equation time-asymptotically tend to a rarefaction wave provided that the initial data u_0(x) satisfies limx→±∞ u_0(x) = u± and u_ < u+, that is, the rarefaction wave is non-linearly stable under white noise perturbation for stochastic Burgers equation. A time-convergence rate is also obtained. Moreover, an important inequality (denoted by Area Inequality) is derived. This inequality plays essential role in the estimates, and may have various applications in the related problems, in particular for the time-decay rate of solutions of both the stochastic and deterministic PDEs. As an application, the stability of planar rarefaction wave is shown stable for a two dimensional viscous conservation law with stochastic force. This is joint work with Feimin Huang, Houqi Su.

 

 

 







XML 地图 | Sitemap 地图