On the Exponential decay for Compressible ...
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Article dans une revue scientifique: Article original
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Title :
On the Exponential decay for Compressible Navier-Stokes-Korteweg equations with a Drag Term
Author(s) :
Bresch, Didier [Auteur]
Laboratoire de Mathématiques [LAMA]
Gisclon, Marguerite [Auteur]
Laboratoire de Mathématiques [LAMA]
Lacroix-Violet, Ingrid [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Université de Lille
Vasseur, Alexis [Auteur]
Departement of Mathematics [Austin]
Laboratoire de Mathématiques [LAMA]
Gisclon, Marguerite [Auteur]
Laboratoire de Mathématiques [LAMA]
Lacroix-Violet, Ingrid [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Université de Lille
Vasseur, Alexis [Auteur]
Departement of Mathematics [Austin]
Journal title :
Journal of Mathematical Fluid Mechanics
Publisher :
Springer Verlag
Publication date :
2022
ISSN :
1422-6928
English keyword(s) :
long-time behaviour
Navier-Stokes-Korteweg model
drag term
exponential decay
quantum models
Navier-Stokes-Korteweg model
drag term
exponential decay
quantum models
HAL domain(s) :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
English abstract : [en]
In this paper, we consider global weak solutions to com-pressible Navier-Stokes-Korteweg equations with density dependent viscosities , in a periodic domain $\Omega = \mathbb T^3$, with a linear drag term with respect to ...
Show more >In this paper, we consider global weak solutions to com-pressible Navier-Stokes-Korteweg equations with density dependent viscosities , in a periodic domain $\Omega = \mathbb T^3$, with a linear drag term with respect to the velocity. The main result concerns the exponential decay to equilibrium of such solutions using log-sobolev type inequalities. In order to show such a result, the starting point is a global weak-entropy solutions definition introduced in D. Bresch, A. Vasseur and C. Yu [12]. Assuming extra assumptions on the shear viscosity when the density is close to vacuum and when the density tends to infinity, we conclude the exponential decay to equilibrium. Note that our result covers the quantum Navier-Stokes system with a drag term.Show less >
Show more >In this paper, we consider global weak solutions to com-pressible Navier-Stokes-Korteweg equations with density dependent viscosities , in a periodic domain $\Omega = \mathbb T^3$, with a linear drag term with respect to the velocity. The main result concerns the exponential decay to equilibrium of such solutions using log-sobolev type inequalities. In order to show such a result, the starting point is a global weak-entropy solutions definition introduced in D. Bresch, A. Vasseur and C. Yu [12]. Assuming extra assumptions on the shear viscosity when the density is close to vacuum and when the density tends to infinity, we conclude the exponential decay to equilibrium. Note that our result covers the quantum Navier-Stokes system with a drag term.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Submission date :
2025-01-24T16:40:06Z
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