Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
Analysis of PDEs
2025-09-30 v1
Abstract
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 classical solution with the initial datum in Sobolev space, and it is analytic for any positive times.
Keywords
Cite
@article{arxiv.2509.23272,
title = {Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations},
author = {Xiao-Dong Cao and Chao-Jiang Xu and Yan Xu},
journal= {arXiv preprint arXiv:2509.23272},
year = {2025}
}