Global weak solutions to a quantum kinetic-fluid model with large initial data

被引：1

作者：

Li, Yue ^{[1
]}

Sun, Baoyan ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 71卷

基金：

中国国家自然科学基金;

关键词：

Kinetic-fluid model; Quantum Bohm potential; Nonlinear friction force; Density-dependent viscosity; Weak solutions; NAVIER-STOKES EQUATIONS; ASYMPTOTIC ANALYSIS; VLASOV EQUATIONS; EULER; SEDIMENTATION; EXISTENCE; SYSTEM;

D O I：

10.1016/j.nonrwa.2022.103822

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a quantum kinetic-fluid model in one-dimensional torus. This model consists of the Vlasov-Fokker-Planck equation coupled with the compressible quantum Navier-Stokes equations via a nonlinear friction force depends on the density of the fluid. The quantum fluid with degenerate viscosity is assumed to be isentropic (adiabatic coefficient gamma > 1). We establish the global weak solutions to this model with arbitrary large initial data. This is the first result on existence of solutions to kinetic-fluid models with density-dependent friction force and degenerate viscosity.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：18

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