Year: 2025
Type: article
Abstract: This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity.
Source: Mathematische Annalen
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funders: Alexander von Humboldt-Stiftung, European Commission, Deutsche Forschungsgemeinschaft, Eusko Jaurlaritza, Waseda University, Technische Universität Darmstadt, Basque Center for Applied Mathematics, Japan Society for the Promotion of Science, Agencia Estatal de Investigación, European Social Fund
OpenAlex ID: W4409382678