6 papers · 1 filter
Existence and uniqueness of global large-data solutions for the Chemotaxis-Navier-Stokes system in
Fan Xu, Bin Liu
This work investigates the Cauchy problem for the classical Chemotaxis-Navier-Stokes (CNS) system in . We establish the global existence and uniqueness of strong, cla…
Global strong solution for the stochastic tamed Chemotaxis-Navier-Stokes system in
Fan Xu, Lei Zhang, Bin Liu
In this work, we consider the 3D Cauchy problem for a coupled system arising in biomathematics, consisting of a chemotaxis model with a cubic logistic source and the stochastic tam…
Well-posedness and invariant measures for the stochastically perturbed Landau-Lifshitz-Baryakhtar equation
Fan Xu, Lei Zhang, Bin Liu
In this paper, we study the initial-boundary value problem for the stochastic Landau-Lifshitz-Baryakhtar (SLLBar) equation with Stratonovich-type noise in bounded domains $\mathcal…
A chemotaxis-fluid model driven by Lévy noise in
Fan Xu, Lei Zhang, Bin Liu
In this paper, we investigate the existence and uniqueness of global solutions to the Cauchy problem for a coupled stochastic chemotaxis-Navier-Stokes system with multiplicative LÃ…
Well-posedness and large deviations of Lévy-driven Marcus stochastic Landau-Lifshitz-Baryakhtar equation
Fan Xu, Bin Liu, Lei Zhang
This paper considers the stochastic Landau-Lifshitz-Baryakhtar (SLLBar) equation with pure jump noise in Marcus canonical form, which describes the dynamics of magnetic spin field…
On the Keller-Segel models interacting with a stochastically forced incompressible viscous flow in
Lei Zhang, Bin Liu
This paper considers the Keller-Segel model coupled to stochastic Navier-Stokes equations (KS-SNS, for short), which describes the dynamics of oxygen and bacteria densities evolvin…