10 papers
Global well-posedness and scattering for energy-critical Schrodinger equations with conservative Marcus noise
Bin Liu, Fan Xu, Bo Yang +1
This work establishes global well-posedness for the three-dimensional defocusing energy-critical nonlinear Schrödinger equation with conservative linear Marcus noise. For arbitrary…
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…
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 Lé…
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…
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…
New global Carleman estimates and null controllability for forward/backward semi-linear parabolic SPDEs
Lei Zhang, Fan Xu, Bin Liu
In this paper, we study the null controllability for parabolic SPDEs involving both the state and the gradient of the state. To start with, an improved global Carleman estimate for…
Random perturbations for the chemotaxis-fluid model with fractional dissipation: Global pathwise weak solutions
Lei Zhang, Bin Liu
This paper considers a stochastically perturbed Keller-Segel-Navier-Stokes (KS-SNS) system arising from the biomathematics in two dimensions, where the diffusion of fluid is expres…
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…
Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes
Lei Zhang, Bin Liu
This paper studies the three-dimensional stochastic chemotaxis-Navier-Stokes (SCNS) system subjected to a Lévy-type random external force in bounded domain. Up to now, the existing…