Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 26, 2021
- Source ID
- 10.1007/s00205-021-01662-3
Entities
People
- Edriss Titi
- Xin Liu
Organizations
- Einstein Foundation Berlin
- National Science Foundation Division of Mathematical Sciences
- Office of Naval Research Global