涡流制动器的磁准静态-力学耦合模型分析
Analysis of a coupled magneto-quasistatic--mechanical model of an eddy current brake
AI总结：
本文针对涡流制动器的磁准静态-力学耦合模型，引入有限耗散解概念，证明对应微分代数系统弱解的整体存在与唯一性，为该类耦合系统的分析提供理论基础。
AI中文摘要：
我们研究涡流制动器的磁准静态耦合模型，该模型导出一个非线性无穷维微分代数系统，其非线性源于结构而非非线性材料定律，由封闭机电反馈回路产生：角动量决定导电圆盘的速度，该速度与磁场产生运动涡流，这些电流感应出洛伦兹力矩反向作用于转子。我们引入有限耗散解概念，并证明当初始数据为磁场和角动量、输入为供给线圈电流与外加力矩时，弱解的整体存在性与唯一性。
英文摘要：
We study a coupled magneto-quasistatic model for an eddy current brake. The model leads to a nonlinear infinite-dimensional differential-algebraic system in which the nonlinearity is structural rather than caused by nonlinear material laws. It is generated by the closed electromechanical feedback loop: the angular momentum determines the velocity of the conducting disk, the velocity and the magnetic field generate motional eddy currents, and these currents induce a Lorentz torque acting back on the rotor. We introduce a finite-dissipation solution concept and prove global existence and uniqueness of weak solutions for initial data given by the magnetic field and the angular momentum, and for inputs given by the supplied coil current and the externally applied torque.
