Modeling of Plasma and Hydrodynamic Limit
主 题: Modeling of Plasma and Hydrodynamic Limit
报告人: Professor Hijun Choe (Yonsei University, Korea)
时 间: 2013-12-27 14:00-15:00
地 点: 理科一号楼1114（数学所活动）
We consider the mathematical modeling of plasma and derive the effective equation of motion. Then we will discuss the kinetic equations coming from Gyrokinetics motion of particles. Also, we conisder the hydrodynamic limit of mixture of particles. When Knudsen numbers of different species are equal and go to zero, we will show formally that the hydrodynamic variables satisfy the compressible Euler and Navier-Stokes equations. Like single species gas, we will develop Enskog-Chapman theory up to the second order. We expect that the macro velocities corresponding to the different spheres are equal and the ratio of the temperatures is the mass ratio of the particles. However, the macro mass densities satisfy independent conservation laws in the case of the compressible flows. Explicit formulas of fluid parameters will be discussed.