11-03【顾 帆】腾讯会议 吴文俊数学重点实验室随机分析系列报告

发布者:卢珊珊发布时间:2023-11-02浏览次数:10


报告题目:On the global well-posedness of the stochastic Schrödinger–Korteweg-de Vries system


报告人:顾帆 北京应用物理与计算数学研究所 


报告时间: 11月3号 上午10:00-11:00


报告地点:腾讯会议号:788-612-223


摘要:


In this talk, we study the global well-posedness of the stochastic S-KdV system driven by additive noises in H^1(R)\times H^1(R). It is difficult to show the global well-posedness of a related perturbation system even for smooth datum and stochastic forces. To overcome it, we introduce a new kind of sequence of approximation equations, which are well-posed in high regular space and have enough conservation laws. We establish priori estimates, the global well-posedness and convergences of these approximation equations, which help us to get a pathwise priori estimate of the initial system.


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