Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics

2019/08/13 by Liu, Han
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.04891

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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