About the barotropic compressible quantum Navier–Stokes equations
In this paper we consider the barotropic compressible quantum Navier–Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanishes. Following recent works on degenerate compressible Navier–Stokes equations, we prove the global existence of weak sol...
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| Veröffentlicht in: | Nonlinear analysis 2015-11, Vol.128, p.106-121 |
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| container_title | Nonlinear analysis |
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| creator | Gisclon, M. Lacroix-Violet, I. |
| description | In this paper we consider the barotropic compressible quantum Navier–Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanishes. Following recent works on degenerate compressible Navier–Stokes equations, we prove the global existence of weak solutions by the use of a singular pressure close to vacuum. With such singular pressure, we can use the standard definition of global weak solutions which also allows to justify the limit when the scaled Planck constant denoted by ε tends to 0. |
| doi_str_mv | 10.1016/j.na.2015.07.006 |
| format | Article |
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| ispartof | Nonlinear analysis, 2015-11, Vol.128, p.106-121 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Analysis of PDEs Asymptotic analysis Compressibility Density Global weak solutions Mathematical analysis Mathematics Navier-Stokes equations Nonlinearity Plancks constant Quantum Navier–Stokes equations Viscosity |
| title | About the barotropic compressible quantum Navier–Stokes equations |
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