GLOBAL WEAK SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES-LANDAU-LIFSHITZ-MAXWELL EQUATIONS FOR QUANTUM FLUIDS IN DIMENSION THREE

【摘要】 In this paper,we consider the weak solutions of compressible Navier-StokesLandau-Lifshitz-Maxwell(CNSLLM) system for quantum fluids with a linear density dependent viscosity in a 3D torus.By introducing the cold pressure P_c,we prove the global existence of weak solutions with the pressure P+P_c,where P=Aρ~γ with γ≥1.Our main result extends the one in [13] on the quantum Navier-Stokes equations to the CNSLLM system.更多还原

【Abstract】 In this paper,we consider the weak solutions of compressible Navier-StokesLandau-Lifshitz-Maxwell(CNSLLM) system for quantum fluids with a linear density dependent viscosity in a 3D torus.By introducing the cold pressure P_c,we prove the global existence of weak solutions with the pressure P+P_c,where P=Aρ~γ with γ≥1.Our main result extends the one in [13] on the quantum Navier-Stokes equations to the CNSLLM system.更多还原