Finite time blowup explicit solution for 3D incompressible Euler equations

2018/06/28 by Weiping Yan, Yan, Weiping
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1807.05426

openalex publication_date 2018/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper construct a family of explicit self-similar blowup axisymmetric solutions for the 3D incompressible Euler equations in R³. Those singular solutions admit infinite energy.

Citations

• Explicit self-similiar singularity of Born-Infeld equation, space-like surfaces with vanishing mean curvature equation and membrane equation

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