Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness

[摘要] Based on classical Lie Group method, we construct a class of explicit solutions of two-dimensional ideal incompressible magnetohydrodynamics (MHD) equation by its infinitesimal generator. Via these explicit solutions we study the uniqueness and stability of initial-boundary problem on MHD.

[发布日期] 2016-12-19