The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence
H. Beirão da Veiga (1994)
Annales de l'I.H.P. Analyse non linéaire
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H. Beirão da Veiga (1994)
Annales de l'I.H.P. Analyse non linéaire
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Steven Schochet (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
Hiroshi Isozaki (1986)
Journées équations aux dérivées partielles
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Enrique Fernández-Cara, Francisco Guillén, Rubens R. Ortega (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Takayuki Kobayashi, Wojciech Zajączkowski (1999)
Applicationes Mathematicae
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Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ with the boundary slip condition is proved. The solution is close to an equilibrium solution. The proof is based on the energy method. Moreover, in the -approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to and the density belongs to , α ∈ (1/2,1).
H. Beirão Da Veiga (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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