English

Global well-posedness of the 3D Primitive Equations with magnetic field

Analysis of PDEs 2022-06-14 v1

Abstract

In this paper, the three-dimensional primitive equations with magnetic field (PEM) are considered on a thin domain. We showed the global existence and uniqueness (regularity) of strong solutions to the three-dimensional incompressible PEM without any small assumption on the initial data. More precisely, there exists a unique strong solution globally in time for any given H2H^2-smooth initial data.

Keywords

Cite

@article{arxiv.2206.06005,
  title  = {Global well-posedness of the 3D Primitive Equations with magnetic field},
  author = {Lili Du and Dan Li},
  journal= {arXiv preprint arXiv:2206.06005},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1706.08885 by other authors