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Global well-posedness of the energy-critical nonlinear Schrödinger equation on the three-dimensional torus with additive Lévy noise
Bin Liu, Fan Xu
This paper establishes global well-posedness for the defocusing energy-critical nonlinear Schrödinger equation on the three-dimensional torus with a class of additive Lévy noises.…
Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in
Bin Liu, Fan Xu
This paper studies the Cauchy problem for the stochastic Landau--Lifshitz--Baryakhtar equation on , , subject to Stratonovich Gaussian perturbations. We esta…
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…
Global well-posedness and scattering for defocusing energy-critical inhomogeneous NLS in dimensions
Bo Yang, Lei Zhang, Bin Liu
We study the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation \[ i\partial_tu+Δu=|x|^{-b}|u|^{\frac{4-2b}{d-2}}u, \qquad (t,x)\in\R\times\R^d, \] with initia…
Global well-posedness for the Landau-Lifshitz-Baryakhtar equation in
Fan Xu, Bin Liu
This paper establishes the global well-posedness of the Landau-Lifshitz-Baryakhtar (LLBar) equation in the whole space . The study first demonstrates the existence an…
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…
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…
New results on the global solvability and blow-up for a class of weakly dissipative Camassa-Holm equations
Lei Zhang, Bin Liu
In this paper, we consider the Cauchy problem for a class of weakly dissipative Camassa-Holm equations in nonhomogeneous Besov spaces. First, we prove that the Cauchy problem admit…