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, PDF,    科研立项经费支持
作者: 李昊彬*, 杨建伟：华北水利水电大学数学与统计学院，河南 郑州
关键词: 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
摘要: 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。
Abstract: 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.
文章引用：李昊彬, 杨建伟. 耦合磁场的可压缩Navier-Stokes-Poisson方程组的弱强唯一性[J]. 流体动力学, 2025, 13(3): 136-148. https://doi.org/10.12677/ijfd.2025.133013

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