Mathematical Sciences: Shock Waves and Riemann Problem in Magnetohydrodynamics

这项研究涉及一个数值和分析 研究线性和非线性波的共振相互作用。 当前的目标是描述共振波相互作用， 模型方程及其在激波形成中的作用 波的帮助下，数值，渐近和动力 具有特定对称性的守恒定律系统， 特别是磁力线的数值模拟 在二维和三维空间中重新连接。

This research is concerned with a numerical and analytical study of resonant interactions of linear and nonlinear waves. The immediate goal is to describe resonant wave interaction for model equations and the role it plays in the formation of shock waves with the help of numerical, asymptotic and dynamical systems of conservation laws with specific symmetries, in particular, to the numerical simulations of magnetic field line reconnection in two and three dimensions.