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, issue 1

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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https://doi.org/10.1155/2016/8183079

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:8183079

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