Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness

Fu-zhi Li, Jia-li Yu, Yang-rong Li and Gan-shan Yang

Abstract and Applied Analysis, 2016, vol. 2016, 1-8

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8183079

DOI: 10.1155/2016/8183079

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