Blow-up criterion for the 2-D Prandtl equation

2020/02/15 by Wang, Yue, Zhang, Zhifei
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.06327

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., ∂_y²u) is bounded near the boundary, then the solution can not develop the singularity.

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