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Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior. (English) Zbl 1480.35320

The authors have discussed the global existence of finite energy weak solutions to the quantum Navier-Stokes equations in the whole space with some conditions. The entire paper is very well written but it is very lengthy. The authors could have avoided detailed proofs of theorems, over all paper is good.

MSC:

35Q35 PDEs in connection with fluid mechanics
35D30 Weak solutions to PDEs
76N06 Compressible Navier-Stokes equations
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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References:

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