About the barotropic compressible quantum ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
About the barotropic compressible quantum Navier-Stokes equations
Author(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]
Journal title :
Nonlinear Analysis: Theory, Methods and Applications
Pages :
106-121
Publisher :
Elsevier
Publication date :
2015-11
ISSN :
0362-546X
English keyword(s) :
asymptotic analysis
global weak solutions
Quantum Navier-Stokes equations
global weak solutions
Quantum Navier-Stokes equations
HAL domain(s) :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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