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arXiv · 1308.6082

Singular vorticity solutions of the incompressible Euler equation via inviscid limits

Joerg Kampen
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Abstract

Singular vorticty solutions of the incompressible 3D-Euler equation are constructed which satisfy the BKM criterion (cf. [2]). The construction is done by inviscid limits of vorticity solutions of transformed incompressible Navier Stokes type equations with a damping potential term, where the latter equations admit a global regular solution for positive viscosity. The inviscid limit vorticity solution of the incompressible Euler vorticity equation becomes singular at a point of the boundary of a finite domain.

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Joerg Kampen. 2016-04-05. Singular vorticity solutions of the incompressible Euler equation via inviscid limits. https://arxiv.org/abs/1308.6082

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