科学研究
报告题目:

Global solvability and stationary solutions of singular quasilinear stochastic PDEs

报告人:

谢宾 教授(日本信州大学)

报告时间:

报告地点:

老外楼三楼概率统计系办公室

报告摘要:

In this talk, we consider a singular quasilinear stochastic PDE with spatial white noise as a potential over 1-dimensional torus. Such singular stochastic PDEs are derived from the study of the hydrodynamic scaling limit of a microscopic interacting particle system in a random environment. Under some sufficient conditions on coefficients and the noise, we study the global existence of solutions in paracontrolled sense, and we also show the convergence of the solutions to its stationary solutions as time goes to infinity. We use the approach based on energy inequality and Poincare inequality in our proofs. This talk is based on a joint work with T. Funaki.