3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2025
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…