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arXiv · 1806.09868

Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations

Xin Liu·Edriss S. Titi
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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.

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BibTeXRIS

Xin Liu, Edriss S. Titi. 2018-06-26. Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations. https://arxiv.org/abs/1806.09868

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