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arXiv · 1908.04891

Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics

Han Liu
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Abstract

Using Littlewood-Paley theory, one formulates the determining wavenumbers for the Hall-MHD system, defined for each individual solution $(u,b)$. It is shown that the long time behaviour of strong solutions is almost finite dimensional as the wavenumbers are bounded in certain average senses.

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Han Liu. 2019-08-13. Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics. https://arxiv.org/abs/1908.04891

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