Global Strong Well-posedness of the heat-conducting, compressible primitive Equations
Abstract
The full heat-conducting compressible primitive equations are considered, extending the compressible primitive-equation framework by coupling the temperature through the ideal gas law and the thermal energy balance in the presence of gravity. Global strong well-posedness is established for small perturbations of an equilibrium state, thereby providing a result beyond the isothermal regime. The proof relies on a structural representation of the density in terms of the temperature and on a new Lagrangian transformation.
Fields of Study & Subjects
Navier-Stokes equation solutions
Oceanographic and Atmospheric Processes
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 24 February 2026
- Language
- EN
- Document type
- Preprint