報(bào)告題目：Invariant manifolds for a randomly perturbed non-autonomous coupled system and their approximations

報(bào) 告 人：申俊

報(bào)告時(shí)間：2023年11月29日10：30—12：00

報(bào)告地點(diǎn)：2B-409

報(bào)告內(nèi)容： In this talk we consider long time dynamics of a randomly perturbed non-autonomous coupled system , whose  coordinate satisfies a semilinear parabolic equation with an additive noise, and  coordinate satisfies a differential equation whose solutions do not converge too rapidly. The noise is either the white noise induced by a Brownian motion  or a stationary process whose integral is approximating . After addressing certain assumptions for such system, we show that for (resp. ) with respect to the noise  (resp. integral of  there exists a invariant manifold which is exponentially attracting any other solution outside it. Also, as  tends to 0, the invariant manifold and its derivative in  for the case  are approaching to those for .

報(bào)告人簡(jiǎn)介：申俊，四川大學(xué)副教授，博士生導(dǎo)師, 四川省學(xué)術(shù)和技術(shù)帶頭人后備人選；曾在英國(guó)倫敦帝國(guó)理工學(xué)院、美國(guó)楊百翰大學(xué)訪問(wèn)；現(xiàn)主持國(guó)家自然科學(xué)基金面上項(xiàng)目1項(xiàng)，參加國(guó)家重大、重點(diǎn)項(xiàng)目各1項(xiàng)；在《Journal of Differential Equations》、《Journal of Dynamics and Differential Equations》、《Discrete and Continuous Dynamical Systems-Series A》、《SCIENCE CHINA Mathematics》、《Physica D》等上面發(fā)表文章數(shù)篇。