2 citations · 2 across the 4 of their papers we have counts for
5 papers
Space-time analyticity and refined analyticity radius of the Navier-Stokes equations in the critical Besov spaces
Cong Wang
In this paper, we establish the space-time analyticity of global solutions to the incompressible Navier-Stokes equations with small initial data in critical \emph{Besov} spaces $\d…
Gradient flow structure, well-posedness and asymptotic behavior of Fokker-Planck equation on locally finite graphs
Cong Wang
This paper investigates the gradient flow structure, well-posedness, and asymptotic behavior of the Fokker-Planck equation defined on locally uniformly finite graphs, which is high…
Joint space-time analyticity of mild solutions to the Navier-Stokes equations
Cong Wang, Yu Gao, Xiaoping Xue
In this paper, we show the optimal decay rate estimates of the space-time derivatives and the joint space-time analyticity of solutions to the Navier-Stokes equations. As it is kno…
Optimal decay rates and space-time analyticity of solutions to the Patlak-Keller-Segel equations
Cong Wang, Yu Gao, Xiaoping Xue
Based on some elementary estimates for the space-time derivatives of the heat kernel, we use a bootstrapping approach to establish the optimal decay rates for the $L^q(\mathbb{R}^d…
Global existence and spatial analyticity for a nonlocal flux with fractional diffusion
Yu Gao, Cong Wang, Xiaoping Xue
In this paper, we study a one dimensional nonlinear equation with diffusion for and . We use a viscous-splitting algorithm to…