Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609311 | Journal of Differential Equations | 2016 | 19 Pages |
Abstract
This paper studies the regularity problem for the 3D incompressible resistive viscous Hall-magneto-hydrodynamic (Hall-MHD) system. The Kolmogorov 41 phenomenological theory of turbulence [14] predicts that there exists a critical wavenumber above which the high frequency part is dominated by the dissipation term in the fluid equation. Inspired by this idea, we apply an approach of splitting the wavenumber combined with an estimate of the energy flux to obtain a new regularity criterion. The regularity condition presented here is weaker than conditions in the existing criteria (Prodi–Serrin type criteria) for the 3D Hall-MHD system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mimi Dai,