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.