Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 45, Issue -, Pages 255-261Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.07.009
Keywords
Quantum Navier-Stokes equations; Global existence; Weak solutions
Categories
Funding
- NSF of Jiangsu Province [BK20150794]
- Fundamental Research Funds for the Central Universities [2017B14314, 2017B19714, 2017B07414]
- China Scholarship Council
- NSFC [11501125, 11761009]
- NSF of Jiangxi [20171BAB201004]
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In this paper, we obtain the global existence of weak solutions to the compressible quantum Navier-Stokes equations. By virtue of a useful identity and an interesting estimate, we solve the critical case that the viscosity equals the dispersive coefficient. This result removes the restrictions on the coefficients and improves the recent work of Antonell and Spirito (2017) in some senses. (C) 2018 Elsevier Ltd. All rights reserved.
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