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数学学院、所系列学术报告(863场):Tusheng Zhang教授

发表于: 2018-12-25 09:58  点击:

报告题目:Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise

报告人:Tusheng Zhang   University of Manchester and USTC

报告时间:20181228日下午230-330

报告地点:数学楼第一报告厅

报告摘要: Consider stochastic reaction-diffusion equations driven by multiplicative space-time white noise. When the noise disappears, it is well known that such PDEs with superlinear frequently have non-trivial stationary solutions. By contrast, Bonder and Groisman have recently shown that there is finite-time blowup when there is appearance of noise. In this paper, we prove that the Bonder--Groisman condition is unimproveable. We present two essentially-different ways of approaches without altering the conclusions of our assertions.