Singular vorticity solutions of the incompressible Euler equation via inviscid limits
Analysis of PDEs
2016-04-06 v9
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.
Keywords
Cite
@article{arxiv.1308.6082,
title = {Singular vorticity solutions of the incompressible Euler equation via inviscid limits},
author = {Joerg Kampen},
journal= {arXiv preprint arXiv:1308.6082},
year = {2016}
}
Comments
32 p., revised