量子Navier-Stokes方程弱解的全局存在性

Abstract

Abstract:

In this paper, we proved the global existence of weak solutions to the quantum Navier-Stokes equations with non-monotone pressure. Motivated by the work of Antonelli-Spirito(Arch Ration Mech Anal, 2017, 255: 1161–1199) and Ducomet-Ne?asová-Vasseur (Z Angew Math Phys, 2010, 61: 479–491), we construct the suitable approximate system and obtain the corresponding compactness by B-D entropy estimate and Mellet-Vasseur inequality.

Key words: Quantum Navier-Stokes equation, Global existence, Weak solutions, Non-monotone pressure

CLC Number:

O175.2

Tong Tang,Cong Niu. Global Existence of Weak Solutions to the Quantum Navier-Stokes Equations[J].Acta mathematica scientia,Series A, 2022, 42(2): 387-400.

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References 37

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Global Existence of Weak Solutions to the Quantum Navier-Stokes Equations

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