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The global-in-time existence of weak solutions to the barotropic compressible quantum Navier-Stokes equations with damping is proved for large data in three dimensional space.
J. Grant, Pressure and stress tensor expressions in the fluid mechanical formulation of the Bose condensate equations. J. Phys. A: Math., Nucl. Gen., Vol 6 (1973), L151-L153
1973
Earlier work this paper cites.
D. Ferry, J.-R. Zhou, Form of the quantum potential for use in hydrodynamic equations for semiconductor device modeling. Phys. Rev. B, Vol(48) (1993), 7944-7950
1993
Earlier work this paper cites.
P.-L. Lions, Mathematical topics in fluid mechanics. Vol. 2. Compressible models. Oxford Lecture Series in Mathematics and its Applications, 10. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1998
1998
Earlier work this paper cites.
E. Feireisl, A. Novotný, H. Petzeltová, On the existence of globally defined weak solutions to the Navier-Stokes equations. J. Math. Fluid Mech. 3
2001
Earlier work this paper cites.
D. Bresch, B. Desjardins, Existence of global weak solutions for 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm. Math. Phys., 238 (2003), no.1-3, 211-223
2003
Earlier work this paper cites.
D. Bresch, B. Desjardins, Chi-Kun Lin, On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Comm. Partial Differential Equations 28 (2003), no. 3-4, 843-868
2003
Cited alongside, same era.
E. Feireisl, Dynamics of Viscous Compressible Fluids. Oxford Lecture Series in Mathematics and its Applications, 26. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 2004
2004
Cited alongside, same era.
R. Wyatt, Quantum Dynamics with Trajectories. Springer, New York, (2005)
2005
Cited alongside, same era.
D. Bresch and B. Desjardins, On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models. J. Math. Pures Appl. (9) 86 (2006), no. 4, 362-368
2006
Cited alongside, same era.
A. Mellet, A. Vasseur, On the barotropic compressible Navier-Stokes equations . Comm. Partial Differential Equations 32 (2007), no. 1-3, 431-452
P.Fabrie, F. Marche, Another proof of stability for global weak solutions of 2D degenerated shallow water models. J. Math. Fluid Mech. 11 (2009), no. 4, 536-551
2009
Later among the works it cites.
A. Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids. SIAM J. Math. Anal. 42 (2010), no. 3, 1025-1045
2010
Later among the works it cites.
A. Jüngel, Dissipative quantum fluid models. Revista Mat. Univ. Parma 3 (2012), 217-290
2012
Later among the works it cites.
E. Zatorska, On the flow of chemically reacting gaseous mixture. J. Diff. Equns. 253 (2012) 3471-3500
2012
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2015
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2007
Cited alongside, same era.