Abstract
We prove that a weak solution (u, b) to the MHD equations is smooth on (0, T] if with where is a mixture matrix (see its definition below). As we will explain later, this kind of regularity criteria is more likely to capture the nature of the coupling effects between the fluid velocity and the magnetic field in the evolution of the MHD flows. Moreover, the condition on is scaling invariant, i.e. it is of Ladyzhenskaya-Prodi-Serrin type. © 2015 IOP Publishing Ltd & London Mathematical Society.
| Original language | English |
|---|---|
| Pages (from-to) | 3289-3307 |
| Journal | Nonlinearity |
| Volume | 28 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1 Sept 2015 |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Research Keywords
- Ladyzhenskaya-Prodi-Serrin
- MHD equations
- mixture matrix
- regularity criterion
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