On the compactness of weak solutions to the Navier-Stokes-Korteweg equations for capillary fluids

P. Antonelli, L. Hientzsch and P. Marcati. On the Low Mach number limit for Quantum-Navier-Stokes equations

Original

1902

Earlier work this paper cites.

J.E. Dunn and J. Serrin, On the thermomechanics of interstitial working , Arch. Ration. Mech. Anal., 88

1985

Earlier work this paper cites.

L.C. Evans and R.F. Gariepy, Measure theory and fine properties of functions

1992

Earlier work this paper cites.

H. Hattori and D. Li, Solutions for two dimensional system for materials of Korteweg type

1994

Earlier work this paper cites.

H. Hattori and D. Li, Global solutions of a high dimensional system for Korteweg materials

1996

Earlier work this paper cites.

P.L. Lions, Mathematical Topics in Fluid Mechanics. Vol. 2

1996

Earlier work this paper cites.

E. Feireisl, On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable

2001

Earlier work this paper cites.

D. Bresch and 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.]

2002

Earlier work this paper cites.

D. Bresch, B. Desjardins and Chi-Kun Lin, On some compressible fluid models: Korteweg, lubrication, and shallow water systems

2003

Earlier work this paper cites.

S. Benzoni-Gavage, R. Danchin and S. Descombes, On the well-posedness for the Euler-Korteweg model in several space dimensions , Indiana Univ. Math. J., 56

2007

Cited alongside, same era.

A. Mellet and A. Vasseur, On the barotropic compressible Navier-Stokes equations

2007

Cited alongside, same era.

Z. Guo, Q. Jiu, Z. Xin, Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients , SIAM J. Math. Anal. 39

2008

Cited alongside, same era.

HL. Li, J. Li and Z. Xin, Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations Commun. Math. Phys., 281

2008

Cited alongside, same era.

P. Antonelli and P. Marcati, On the finite energy weak solutions to a system in quantum fluid dynamics,

2009

Cited alongside, same era.

M. Gisclon and I. Lacroix-Violet, About the barotropic compressible quantum Navier-Stokes

2015

Later among the works it cites.

A. Vasseur and C. Yu, Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations

2015

Later among the works it cites.

D. Bresch, F. Couderc, P. Noble, J.P. Vila, A generalization of the quantum Bohm identity: Hyperbolic CFL condition for the Euler-Korteweg equations, Généralisation de l’identité de Bohm quantique : condition CFL hyperbolique pour équations d’Euler–Korteweg. , Comptes Rendus Math. 354

2016

Later among the works it cites.

D. Donatelli and P. Marcati, Low Mach number limit for the quantum hydrodynamics system

2016

Later among the works it cites.

P. Antonelli and S. Spirito, Global existence of finite energy weak solutions of quantum Navier-Stokes equations , Arch. Ration. Mech. Anal., 3

2017