Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations
Analysis of PDEs
2018-06-27 v1 Fluid Dynamics
Geophysics
Abstract
This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity. We also introduce the free boundary problem for the compressible primitive equations.
Keywords
Cite
@article{arxiv.1806.09868,
title = {Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations},
author = {Xin Liu and Edriss S. Titi},
journal= {arXiv preprint arXiv:1806.09868},
year = {2018}
}