半导体磁流体动力学模型经典解的整体适定性

Global Well-Posedness of Classical Solutions to the Magnetic-Hydrodynamic Model of Semiconductors

研究一类半导体磁流体动力学模型,它是由关于电子的质量和速度的守恒律方程耦合Maxwell方程构成的流体动力学方程组.在小初值条件下,运用经典的双曲能量方法,得到了磁流体动力学模型Cauchy问题经典解的整体适定性.

This paper concerns with the magnetic-hydrodynamic model of semiconductors, which takes the form of conservation law equations for density and velocity,coupled with Maxwell＇s equations.Using the classical hyperbolic energy method,the authors establish the global well-posedness of classical solutions to the Caucliy problem of magnetic-hydrodynamic models with small initial data.