Stochastic Schrödinger-Korteweg de Vries systems driven by multiplicative noises
报告人：顾帆（北京应用物理与计算数学研究所）
时间：2024-05-22 19:00-20:00
地点：智华楼四元厅-225
Abstract:
In this talk, we consider the well-posedness of stochastic S-KdV driven by multiplicative noises in H_x^1×H_x^1. To get the local well-posedness, we first develop the bilinear and trilinear Bourgain norm estimates of the nonlinear terms with b∈(0,1/2). Then, to overcome the lack of the maximum functional estimate, we introduce a series of approximation equations with localized nonlinear terms, which are also cutted-off in both the physical and the Fourier space. By limitations, these approximation equations will help us get a priori estimate in the Bourgain space and finish the proof of the global well-posedness of the initial system.
About the Speaker:
顾帆，北京应用物理与计算数学研究所博士后，合作导师为郭柏灵院士。2022年博士毕业于中国科学院数学与系统科学研究院，导师为董昭研究员。研究方向为随机动力系统的长时间行为，随机色散方程。
