5 citations · 11 across the 7 of their papers we have counts for
7 papers
Global regularity of 2D generalized incompressible magnetohydrodynamic equations
Chao Deng, Zhuan Ye, Baoquan Yuan +1
In this paper, we are concerned with the two-dimensional (2D) incompressible magnetohydrodynamic (MHD) equations with velocity dissipation given by and magnetic diffusion…
Ill-posedness of the incompressible Navier-Stokes equations in
C. Deng, X. Yao
In this paper, authors show the ill-posedness of 3D incompressible Navier-Stokes equations in the critical Triebel-Lizorkin spaces for an…
Well-posedness and ill-posedness of the 3D generalized Navier-Stokes equations in Triebel-Lizorkin spaces
Chao Deng, Xiaohua Yao
In this paper, we study the Cauchy problem of the 3-dimensional (3D) generalized incompressible Navier-Stokes equations (gNS) in Triebel-Lizorkin space $\dot{F}^{-α,r}_{q_α}(\mathb…
Well-posedness of a Parabolic-hyperbolic Keller-Segel System in the Sobolev Space Framework
Chao Deng, Tong Li
We study the global strong solutions to a 3-dimensional parabolic-hyperbolic Keller-Segel model with initial data close to a stable equilibrium with perturbations belonging to $L^2…
Global Well-posedness of the Parabolic-parabolic Keller-Segel Model in and
Chao Deng, Congming Li
In this paper, we study global well-posedness of the two-dimensional Keller-Segel model in Lebesgue space and Sobolev space. Recall that in the paper "Existence and uniqueness theo…
Well-posedness of the Viscous Boussinesq System in Besov Spaces of Negative Order Near Index
Chao Deng, Shangbin Cui
This paper is concerned with well-posedness of the Boussinesq system. We prove that the () dimensional Boussinesq system is well-psoed for small initial data $(\vec{u}_0…