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.
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)
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)。
