本项目研究电磁场作用下的电磁流体动力学方程组的适定性与渐近机理问题，重点研究可压缩等熵和非等熵电磁流体动力学Euler/Navier-Stokes-Maxwell方程组初边值问题和初值问题整体解的存在唯一性与大时间衰减速率估计，电磁流体动力学方程组的奇异渐近极限与多尺度结构稳定性，以及相关的漂流扩散方程组在物理边界条件下的拟中性极限等，组建电磁流体和经典流体之间的本质联系以及半导体拟中性的数学理论。 本项目是国际非线性发展方程研究领域的前沿课题，不仅具有重要的理论意义，而且在受控核聚变、航空航天、半导体材料科学和等离子体物理等应用科学有重要的指导意义。

Well-posedness and asymptotic regimes of Electromagnetic fluid-dynamical equations will be studied in this program. Special studies include large time decay rate with respect to time,global existences and uniqueness of smooth solutions to initial-boundary-value problem or Cauchy problem of the isentropic or non-isentripic Euler/Navier-Stokes-Maxwell equations, singular asymptotic limits of electromagnetic fluid-dynamical equations, quasi-neutral limit of drift-diffusion equations with physical boundary conditions. The essential relations between the electromagnetic fluid-dynamical models and classic fluid models, and mathematical theory of quasineutrality for semiconductors will be established. This program is of frontier in the field of nonlinear evolutionary equations. There are of importance not only in theorical study and but also in applied sciences such as controled fusion,aerospace,semiconductors and plasmas.