GLOBAL WELL-POSEDNESS FOR THE HALL-MAGNETOHYDRODYNAMICS SYSTEM IN LARGER CRITICAL BESOV SPACES

Abstract : We prove the global well-posedness of the Cauchy problem to the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial data in critical Besov spaces, which generalize the result in [10]. Meanwhile , we analyze the long-time behavior of the solutions and get some decay estimates. Finally, a stability theorem for global solutions is established.
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Submitted on : Tuesday, January 7, 2020 - 1:25:24 PM
Last modification on : Monday, January 13, 2020 - 1:11:42 AM

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  • HAL Id : hal-02430536, version 1
  • ARXIV : 2001.02588

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Lvqiao Liu, Jin Tan. GLOBAL WELL-POSEDNESS FOR THE HALL-MAGNETOHYDRODYNAMICS SYSTEM IN LARGER CRITICAL BESOV SPACES. 2020. ⟨hal-02430536⟩

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