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Yinxia Wang, Junru Liu, Yuzhu Wang, Large time behavior of solutions to the Hall-MHD equations with ion-slip effects and horizontal dissipation

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DOI: 10.23952/jnva.10.2026.1.04

Volume 10, Issue 1, 1 April 2026, Pages 87-110

 

Abstract. This paper investigates the large time behavior of global solutions to the 3D Hall-MHD equations with ion-slip effects and horizontal dissipation. We establish the global well-posedness of solutions under the assumption of small Sobolev space initial values. The optimal time-decay rates of the global solution and its higher order derivatives are also obtained under additional assumptions on the negative-index Besov space initial value.

 

How to Cite this Article:
Y. Wang, J. Liu, Y. Wang, Large time behavior of solutions to the Hall-MHD equations with ion-slip effects and horizontal dissipation, J. Nonlinear Var. Anal. 10 (2026), 87-110.