Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit
نویسندگان
چکیده
منابع مشابه
Global Weak Solutions to the Compressible Quantum Navier-stokes Equation and Its Semi-classical Limit
This paper is dedicated to the construction of global weak solutions to the quantum Navier-Stokes equation, for any initial value with bounded energy and entropy. The construction is uniform with respect to the Planck constant. This allows to perform the semi-classical limit to the associated compressible Navier-Stokes equation. One of the difficulty of the problem is to deal with the degenerat...
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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. The model consists of the compressible Navier-Stokes equations with degenerate viscosity, and a nonlinear third-order differential operator, with the quantum Bohm potential, and the damping terms. The global weak solution...
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The global-in-time existence of weak solutions to the barotropic compressible quantum Navier-Stokes equations in a three-dimensional torus for large data is proved. The model consists of the mass conservation equation and a momentum balance equation, including a nonlinear thirdorder differential operator, with the quantum Bohm potential, and a density-dependent viscosity. The system has been de...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2018
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2017.12.002