3 papers
math.OC2025
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…
math.AP2025
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…
math.AP2025
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…