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A remark on the global existence of weak solutions to the compressible quantum Navier–Stokes equations

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: compressible quantum; weak solutions; solutions compressible; existence weak; global existence; quantum navier

Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2019

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