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

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...

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Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 241; no. 2; pp. 729 - 764
Main Authors Liu, Xin, Titi, Edriss S.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021
Springer Nature B.V
Subjects
Boundary conditions
Classical Mechanics
Complex Systems
Compressibility
Digital Object Identifier
Entropy
Fluid- and Aerodynamics
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Primitive equations
Theoretical
Viscosity
Well posed problems
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Summary: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.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-021-01662-3