Article
| Title: | Regularity criteria for weak solutions to 3D non-Newtonian fluid equations of MHD type (English) |
| Author: | Kim, Jae-Myoung |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 3 |
| Year: | 2026 |
| Pages: | 393-407 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We investigate regularity criteria for weak solutions to the three-dimensional non-Newtonian MHD-type system for $\frac {11}{5}\leq q < \frac {5}{2}$ under a sufficient condition involving only the magnetic field. In addition, weak-strong uniqueness in $\mathbb {R}^3$ is established for $q\geq \frac {5}{2}$. (English) |
| Keyword: | non-Newtonian fluid |
| Keyword: | magnetohydrodynamics |
| Keyword: | regularity criterion |
| Keyword: | weak-strong uniqueness |
| MSC: | 35Q30 |
| MSC: | 76A05 |
| MSC: | 76N10 |
| MSC: | 76W05 |
| DOI: | 10.21136/AM.2026.0164-25 |
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| Date available: | 2026-07-02T06:52:41Z |
| Last updated: | 2026-08-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153674 |
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