About the barotropic compressible quantum ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
About the barotropic compressible quantum Navier-Stokes equations
Auteur(s) :
Gisclon, Marguerite [Auteur]
Laboratoire de Mathématiques [LAMA]
Lacroix-Violet, Ingrid [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire de Mathématiques [LAMA]
Lacroix-Violet, Ingrid [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Titre de la revue :
Nonlinear Analysis: Theory, Methods and Applications
Pagination :
106-121
Éditeur :
Elsevier
Date de publication :
2015-11
ISSN :
0362-546X
Mot(s)-clé(s) en anglais :
asymptotic analysis
global weak solutions
Quantum Navier-Stokes equations
global weak solutions
Quantum Navier-Stokes equations
Discipline(s) HAL :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Résumé en anglais : [en]
In this paper we consider the barotropic compressible quantum Navier-Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanish. Following recent works on degenerate ...
Lire la suite >In this paper we consider the barotropic compressible quantum Navier-Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanish. Following recent works on degenerate compressible Navier-Stokes equations, we prove the global existence of weak solutions by the use of a singular pressure close to vacuum. With such singular pressure, we can use the standard definition of global weak solutions which also allows to justify the limit when the scaled Planck constant denoted by ε tends to 0.Lire moins >
Lire la suite >In this paper we consider the barotropic compressible quantum Navier-Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanish. Following recent works on degenerate compressible Navier-Stokes equations, we prove the global existence of weak solutions by the use of a singular pressure close to vacuum. With such singular pressure, we can use the standard definition of global weak solutions which also allows to justify the limit when the scaled Planck constant denoted by ε tends to 0.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
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