127 citations · 324 across the 42 of their papers we have counts for
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math.AP2015★ 3 cited
Long time well-posdness of the Prandtl equations in Sobolev space
Chao-Jiang Xu, Xu Zhang
In this paper, we study the long time well-posedness for the nonlinear Prandtl boundary layer equation on the half plane. While the initial data are small perturbations of some mon…
math.AP2015
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…
math.AP2015
Gevrey class smoothing effect for the Prandtl equation
Weixi Li, Di Wu, Chao-Jiang Xu
It is well known that the Prandtl boundary layer equation is instable, and the well-posedness in Sobolev space for the Cauchy problem is an open problem. Recently, under the Oleini…