Year: 2018
Author: Boling Guo, Binqiang Xie
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 1–31
Abstract
We consider the quantum Navier-Stokes equations for the viscous, compressible, heat conducting fluids on the three-dimensional torus $T^3.$ The model is based on a system which is derived by Jungel, Matthes and Milisic [15]. We made some adjustment about the relation of the viscosities of quantum terms. The viscosities and the heat conductivity coefficient are allowed to depend on the density, and may vanish on the vacuum. By several levels of approximation we prove the global-in-time existence of weak solutions for the large initial data.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2018-AAM-20559
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 1–31
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: global weak solution compressible quantum Navier-Stokes equations thermal conduction.