A 3D Euler equation solution with 2D sets of singularities and data with\n Hoelder continuous first order derivatives

2015/11/17 by Joerg Kampen, Kampen, Joerg
Engineering · Mathematics · #35Q31 #76N10 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1511.05469

openalex publication_date 2015/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An example of a solution branch of the three dimensional Euler equation\nCauchy problem is constructed which develops a singular velocity component and\na singular vorticity component after finite time for some data which have\nHoelder continuous first order spatial derivatives. Such a solution branch can\nbe extended beyond a time section at some positive finite time where a two\ndimensional set of singularities is located.\n

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