发表机构
University of Florida（佛罗里达大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究为一维正压Navier--Stokes--Maxwell系统构造全局有限能量弱解，通过Maxwell--Ohm子系统的弱到强紧致性原理及人工粘性压力方法，适用于任意γ>1和真空初始数据。
AI 中文摘要
我们构造了带有位移电流和代数欧姆定律的一维正压Navier--Stokes--Maxwell系统的全局有限能量弱解。该结果对任意γ>1和任意有限能量初始数据成立，允许真空，且仅要求L^2初始电磁场。一个关键要素是Maxwell--Ohm子系统的弱到强紧致性原理：速度系数在L^2_tH^1_x中的弱收敛，连同初始场的强收敛，产生C_tL^2_x中的强电磁轨迹。这使得无需速度的强收敛即可识别弱电流和分布洛伦兹力。电磁闭包与可压缩流的经典人工粘性和人工压力构造相结合。一个密度原初有效通量论证识别出物理压力，并消除了物理和人工压力集中缺陷。
英文摘要
We construct global finite-energy weak solutions for a 1D barotropic Navier--Stokes--Maxwell system with displacement current and the algebraic Ohm law. The result holds for every \(γ>1\) and arbitrary finite-energy initial data, allowing vacuum and requiring only \(L^2\) initial electromagnetic fields. A key ingredient is a weak-to-strong compactness principle for the Maxwell--Ohm subsystem: weak convergence of the velocity coefficients in \(L^2_tH^1_x\), together with strong convergence of the initial fields, yields strong electromagnetic trajectories in \(C_tL^2_x\). This permits identification of the weak current and the distributional Lorentz force without strong convergence of the velocity. The electromagnetic closure is combined with the classical artificial-viscosity and artificial-pressure construction for compressible flow. A density-primitive effective-flux argument identifies the physical pressure and eliminates the physical and artificial pressure-concentration defects.
