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耦合磁场的可压缩Navier-Stokes-Poisson方程组的弱强唯一性
Weak-Strong Uniqueness for the Compressible Navier-Stokes-Poisson System Coupled with Magnetic Fields

DOI: 10.12677/IJFD.2025.133013, PP. 136-148

Keywords: 弱强唯一性,磁流体动力学,Navier-Stokes-Poisson方程组,相对熵方法
Weak-Strong Uniqueness
, Magnetohydrodynamics, Navier-Stokes-Poisson Equations, Relative Entropy

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Abstract:

本文研究耦合磁场的可压缩Navier-Stokes-Poisson方程组的弱强唯一性问题。证明了当绝热指数γ∈[12/7,6]时,系统的耗散弱解与从相同初值出发的强解完全一致。
This paper studies the weak-strong uniqueness problem for the magnetically coupled compressible Navier-Stokes-Poisson system. It is proven that when the adiabatic index γ∈[12/7,6] any dissipative weak solution of the system coincides completely with the strong solution emanating from the same initial data.

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