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Lie group solutions of magnetohydrodynamics equations and their well-posedness - MaRDI portal

Lie group solutions of magnetohydrodynamics equations and their well-posedness (Q1669271)

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scientific article; zbMATH DE number 6929390
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Lie group solutions of magnetohydrodynamics equations and their well-posedness
scientific article; zbMATH DE number 6929390

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    Lie group solutions of magnetohydrodynamics equations and their well-posedness (English)
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    30 August 2018
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    Summary: 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.
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