Published January 2011
| Version v1
Journal article
Compressible primitive equations: formal derivation and stability of weak solutions
Creators
- 1. LAMA, UMR 5127 CNRS, Université de Savoie, 73376 Le Bourget du lac cedex (France)
- 2. Laboratoire d'Analyse Numérique et d'Informatique (LANI), UFR SAT, Université Gaston Berger de Saint-Louis, BP 234 Saint-Louis (Senegal)
Description
We present a formal derivation of compressible primitive equations for atmosphere modelling. They are obtained from the 3D compressible Navier–Stokes equations with an anisotropic viscous stress tensor depending on the density. Then, we study the stability of weak solutions to this problem by introducing an intermediate model obtained by a suitable change of variables. This intermediate model is more practical and it is simpler to achieve the main result
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/24/1/004Additional details
Identifiers
- DOI
- 10.1088/0951-7715/24/1/004;
- PII
- S0951-7715(11)67642-1;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 24
- Journal Issue
- 1
- Journal Page Range
- p. 79-96
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034545
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANISOTROPY; ATMOSPHERES; DENSITY; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NAVIER-STOKES EQUATIONS; STABILITY; STRESSES; TENSORS; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES