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Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

Authors
  • Liu, X
  • Titi, ES
Publication Date
Jan 01, 2021
Source
eScholarship - University of California
Keywords
License
Unknown
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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, are 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.

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