Blow-up criterion for the 2-D Prandtl equation
Analysis of PDEs
2020-02-18 v1
Abstract
In this paper, we consider the 2-D Prandtl equation with constant outer flow and monotonic data. We prove that if the curvature of the velocity distribution(i.e., ) is bounded near the boundary, then the solution can not develop the singularity.
Keywords
Cite
@article{arxiv.2002.06327,
title = {Blow-up criterion for the 2-D Prandtl equation},
author = {Yue Wang and Zhifei Zhang},
journal= {arXiv preprint arXiv:2002.06327},
year = {2020}
}