English

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