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

Lvqiao Liu , Jin Tan (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domaines: Equations aux dérivées partielles [math.AP]

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