5 papers · 1 filter
Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
In this note, we consider the Cauchy problem for a model of Kolmogorov-Prandtl type equations. For the small perturbation of a constant state, we prove that it admits a unique clas…
The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
This paper studies the Cauchy problem for the spatially inhomogeneous Landau equation with soft potential in the perturbative framework around the Maxwellian distribution. Under a…
Regularizing effect of the spatially homogeneous Landau equation with soft potential
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
This paper investigates the Cauchy problem of the spatially homogeneous Landau equation with soft potential under the perturbation framework to global equilibrium. We prove that th…
The analytic Gelfand-Shilov smoothing effect of the Landau equation with hard potential
Chao-Jiang Xu, Yan Xu
Inthispaper,westudytheCauchyproblemoftheinhomogeneous Landau equation with hard potentials under the perturbation framework to global equilibrium. We prove that the solution to the…
Analytic smoothing effect of the time variable for the spatially homogeneous Landau equation
Chao-Jiang Xu, Yan Xu
In this work, we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-quilibrium framework. We prove that the solution to the Ca…