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Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness

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  • Fu-zhi Li
  • Jia-li Yu
  • Yang-rong Li
  • Gan-shan Yang

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.

Suggested Citation

  • Fu-zhi Li & Jia-li Yu & Yang-rong Li & Gan-shan Yang, 2016. "Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-8, December.
    • Handle: RePEc:hin:jnlaaa:8183079
    DOI: 10.1155/2016/8183079
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