9 papers
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…
Global Carleman estimates for the fourth order parabolic equations and application to null controllability
Bo You, F. Li
The main objective of this paper is to establish the null controllability for the fourth order semilinear parabolic equations with the nonlinearities involving the state and its gr…
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…
Large deviation principle for the three dimensional planetary geostrophic equations of large-scale ocean circulation with small multiplicative noise
Bo You
We demonstrate the large deviation principle in the small noise limit for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation. In this…
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…
Dynamic of the three dimensional viscous primitive equations of large-scale atmosphere
Bo You
The main objective of this paper is to study the existence of a finite dimension global attractor for the three dimensional viscous primitive equations of large-scale atmosphere. T…
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…