Cong Wang

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20202025

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math.AP2025

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…

math.AP2021

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…

math.AP2020

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 $- ν (- \partial_{xx})^{\frac{α}{2}}$ for $0 \leq α \leq 2$ and $ν > 0$ . We use a viscous-splitting algorithm to…