8 papers
Well-posedness for a diffuse interface model of non-Newtonian two-phase flows
Fang Li, Duan Xingyu, Guo Zhenhua
The evolution of two partially miscible, nonhomogeneous, incompressible viscous fluids of non-Newtonian type, can be governed by the Navier-Stokes-Cahn-Hilliard system. In the pres…
Insensitizing controls for a fourth order semi-linear parabolic equations
Bo You, Fang Li
This paper is concerned with the existence of insensitizing controls for a fourth order semilinear parabolic equation. Here, the initial data is partially unknown, we would like to…
Hierarchical exact controllability of the fourth order parabolic equations
Bo You, Fang Li
This paper is concerned with the application of Stackelberg-Nash strategies to control fourth order linear and semi-linear parabolic equations. We assume that the system is acted t…
Long-time behavior of the three dimensional globally modified Navier-Stokes equations
Fang Li, Bo You
This paper is concerned with the long-time behavior of solutions for the three dimensional globally modified Navier-Stokes equations in a three-dimensional bounded domain. We prove…
Global attractor of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics in an unbounded domain
Bo You, Fang Li
This paper is concerned with the long-time behavior of solutions for the three dimensional primitive equations of large-scale ocean and atmosphere dynamics in an unbounded domain.…
Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions
Bo You, Fang Li, Chang Zhang
In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinea…
Global and exponential attractors of the three dimensional viscous primitive equations of large-scale moist atmosphere
Bo You, Fang Li
This paper is concerned with the long-time behavior of solutions for the three dimensional viscous primitive equations of large-scale moist atmosphere. We prove the existence of a…
Finite time blowup of the stochastic shadow Gierer-Meinhardt System
Fang Li, Lihu Xu
By choosing some special (random) initial data, we prove that with probability , the stochastic shadow Gierer-Meinhardt system blows up pointwisely in finite time. We also give…