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2020-09-12,王仁海博士后,Existence and Convergence of Random Attractors of Fractional Nonclassical Diffusion Equations Driven by Nonlinear Colored Noise

学术报告

 

  目:

 

Existence and Convergence of Random Attractors
of Fractional Nonclassical Diffusion Equations
Driven by Nonlinear Colored Noise

 

报告人:

 

王仁海 博士后 (北京应用物理与计算数学研究所)

摘  要:

In this talk we study the existence and convergence of random

attractors of the fractional nonclassical diffusion equations driven by nonlinear colored noise. Both existence and uniqueness of pullback random attractors are established for the equations with a wide class of nonlinear diffusion terms. In the case of additive noise, the upper semi-continuity of these attractors is proved as the correlation time of the colored noise approaches zero. The methods of uniform tail-estimate and spectral decomposition are employed to obtain the pullback asymptotic compactness of the solutions in order to

overcome the non-compactness of the Sobolev embedding on an unbounded domain.

 

 

时  间:

9月12日19:30-20:30

 

方  式:

 

腾讯会议

会议 ID836 304 618

会议密码:0912

 

邀请人:

 

郭春晓 副教授