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math.AP2019★ 9 cited
The Kinetic Fokker-planck Equation With Mean Field Interaction
Arnaud Guillin, Wei Liu, Liming Wu +1
We study the long time behaviour of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fkker-Planck equation. We prove a uniform (in…
math.AP2019
Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
Wei Liu, Michael Röckner, José Luís da Silva
In this paper strong dissipativity of generalized time-fractional derivatives on Gelfand triples of properly in time weighted -path spaces is proved. In particular, the classi…
math.AP2018
Stochastic 3D Leray- Model with Fractional Dissipation
Shihu Li, Wei Liu, Yingchao Xie
In this paper, we establish the global well-posedness of stochastic 3D Leray- model with general fractional dissipation driven by multiplicative noise. This model is the stochas…