In this paper, we consider the weak solutions of compressible Navier-Stokes-Landau-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 $P = A \rho^{\gamma}$ with $\gamma\ge1$. Our main result extends the one in [13] on the quantum Navier-Stokes equations to the CNSLLM system.
Quansen Jiu
,
Lin Ma
. GLOBAL WEAK SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES-LANDAU-LIFSHITZ-MAXWELL EQUATIONS FOR QUANTUM FLUIDS IN DIMENSION THREE*[J]. Acta mathematica scientia, Series B, 2023
, 43(1)
: 25
-42
.
DOI: 10.1007/s10473-023-0102-y
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