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We consider the Quantum Navier-Stokes system in three space dimensions.
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E. Feireisl, On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
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D. Bresch, D. Desjardins, Sur un modèle de Saint-Venant visqueux et sa limite quasi-géostrophique. [On viscous shallow-water equations (Saint-Venant model) and the quasi-geostrophic limit.]
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D. Bresch, B. Desjardins, Chi-Kun Lin, On some compressible fluid models: Korteweg, lubrication, and shallow water systems
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S. Benzoni-Gavage, R. Danchin, S. Descombes, On the well-posedness for the Euler-Korteweg model in several space dimensions , Indiana Univ. Math. J. 56
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A. Mellet, A. Vasseur, On the barotropic compressible Navier-Stokes equations
2007
Cited alongside, same era.
P. Antonelli and P. Marcati. On the finite energy weak solutions to a system in quantum fluid dynamics
2009
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S. Brull and F. Méhats, Derivation of viscous correction terms for the isothermal quantum Euler model
2010
Cited alongside, same era.
A. Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids
2010
Cited alongside, same era.
P. Antonelli and P. Marcati, The Quantum Hydrodynamics system in two space dimensions , Arch. Rat. Mech. Anal. 203
2012
Cited alongside, same era.
A. Jüngel, Dissipative quantum fluid models
2012
2015
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M. Gisclon and I. Lacroix-Violet, About the barotropic compressible quantum Navier-Stokes
2015
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A. Jüngel and D. Matthes. The Derrida-Lebowitz-Speer-Spohn equation: existence, non-uniqueness, and decay rates of the solutions
2015
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2015
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Cited alongside, same era.
A. Jüngel and J.P. Milisik, Quantum Navier-Stokes equations
2012
Cited alongside, same era.
S. Benzoni-Gavage, Propagating phase boundaries and capillary fluids , available online at http://math.univ-lyon1.fr/~benzoni/Levico.pdf
Cited in the paper.
2015
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2015
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