A remark on the global existence of weak solutions to the compressible quantum Navier–Stokes equations. (February 2019)

• Record Type: Journal Article
• Authors: Tang, Tong; Zhang, Zujin
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 255
• Page End: 261
• Publication Date: 2019-02
• Subjects: Quantum Navier–Stokes equations -- Global existence -- Weak solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.009
• Languages: English
• ISSNs: 1468-1218

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.