Existence of global weak solution for quantum Navier–Stokes system
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In this paper, the barotropic compressible quantum Navier–Stokes equations with a density-dependent viscosity in a three-dimensional torus is studied. By introducing a cold pressure to handle the convection term, we prove the global-in-time existence of weak solutions to quantum Navier–Stokes equations for large data in the sense of standard definition.
1982 ◽
Vol 120
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pp. 155-183
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2006 ◽
Vol 2006
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pp. 1-14
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1996 ◽
Vol 133
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pp. 299-331
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2017 ◽
Vol 49
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pp. 162-221
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2019 ◽
Vol 46
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pp. 58-81
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2020 ◽
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pp. 7369-7378
2013 ◽
Vol 40
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pp. 281-311
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