Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 241, Issue 2, Pages 729-764Publisher
SPRINGER
DOI: 10.1007/s00205-021-01662-3
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Funding
- Ecole Polytechnique Foundation
- NSF [DMS-1516866]
- ONR [N00014-15-1-2333]
- Einstein Stiftung/Foundation-Berlin, through the Einstein Visiting Fellow Program
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This study demonstrates the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It shows that strong solutions exist, are unique, and depend continuously on the initial data for a short period in two cases: with gravity but without vacuum, and with vacuum but without gravity.
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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