4 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…
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…
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…