8 citations · 12 across the 7 of their papers we have counts for
7 papers
On the radius of spatial analyticity for the inviscid Boussinesq equations
Feng Cheng, Chao-Jiang Xu
In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq equations. If the initial datum is real-analytic, the solution remains real-analyt…
Faster and Non-ergodic O(1/K) Stochastic Alternating Direction Method of Multipliers
Cong Fang, Feng Cheng, Zhouchen Lin
We study stochastic convex optimization subjected to linear equality constraints. Traditional Stochastic Alternating Direction Method of Multipliers and its Nesterov's acceleration…
On the gevrey regularity of solutions to the 3d ideal mhd equations
Feng Cheng, Chao-Jiang Xu
In this paper, similar to the incompressible Euler equation, we prove the propagation of the Gevrey regularity of solutions to the three-dimensional incompressible ideal magnetohyd…
Vanishing viscosity limit of navier-stokes equations in gevrey class
Feng Cheng, Wei-Xi Li, Chao-Jiang Xu
In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions…
Analytical smoothing effect of solution for the boussinesq equations
F Cheng, C. -J Xu
In this paper, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobole…
Weighted gevrey class regularity of euler equation in the whole space
Feng Cheng, Wei-Xi Li, Chao-Jiang Xu
In this paper we study the weighted Gevrey class regularity of Euler equation in the whole space R 3. We first establish the local existence of Euler equation in weighted Sobolev s…
Gevrey regularity with weight for incompressible Euler equation in the half plane
Feng Cheng, Wei-Xi Li, Chao-Jiang Xu
In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the…