English

On the 3D Euler equations with Coriolis force in borderline Besov spaces

Analysis of PDEs 2017-07-21 v2

Abstract

We consider the 3D Euler equations with Coriolis force (EC) in the whole space. We show long-time solvability in Besov spaces for high speed of rotation Ω\Omega and arbitrary initial data. For that, we obtain Ω\Omega-uniform estimates and a blow-up criterion of BKM type in our framework. Our initial data class is larger than previous ones considered for (EC) and covers borderline cases of the regularity. The uniqueness of solutions is also discussed.

Keywords

Cite

@article{arxiv.1706.07985,
  title  = {On the 3D Euler equations with Coriolis force in borderline Besov spaces},
  author = {Lucas C. F. Ferreira and Vladimir Angulo-Castillo},
  journal= {arXiv preprint arXiv:1706.07985},
  year   = {2017}
}

Comments

18 pages