Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations
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Date
2021
Authors
Volume
241
Issue
2
Journal
Archive for Rational Mechanics and Analysis
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Book Title
Publisher
Berlin ; Heidelberg : Springer
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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. © 2021, The Author(s).
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Citation
Liu, X., & Titi, E. S. (2021). Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations (Berlin ; Heidelberg : Springer). Berlin ; Heidelberg : Springer. https://doi.org//10.1007/s00205-021-01662-3
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CC BY 4.0 Unported