GLOBAL WEAK SOLUTIONS TO A THREE-DIMENSIONAL QUANTUM KINETIC-FLUID MODEL  

作　　者：栗付才 李悦 孙宝燕 Fucai LI;Yue LI;Baoyan SUN(Department of Mathematics,Nanjing University,Nanjing 210093,China;School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]Department of Mathematics,Nanjing University,Nanjing 210093,China [2]School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China

出　　处：《Acta Mathematica Scientia》2023年第5期2089-2107,共19页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12071212);supported by NSFC(12171415);supported by a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions;the Scientific Research Foundation of Yantai University(2219008)。

摘　　要：In this paper,we study a quantum kinetic-fluid model in a three-dimensional torus.This model is a coupling of the Vlasov-Fokker-Planck equation and the compressible quantum Navier-Stokes equations with degenerate viscosity.We establish a global weak solution to this model for arbitrarily large initial data when the pressure takes the form p(ρ)=ργ+pc(ρ),whereγ>1 is the adiabatic coefficient and pc(ρ)satisfies■for k≥4 and some constant c>0.

关 键 词：kinetic-fuid model quantum Bohm potential density-dependent viscosity weak solutions 

分 类 号：O175[理学—数学]