Dyadic models for ideal MHD
| Autor: | Mimi Dai, Susan Friedlander |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Mathematical Fluid Mechanics. 24 |
| ISSN: | 1422-6952 1422-6928 |
| DOI: | 10.1007/s00021-021-00640-9 |
| Popis: | We study two dyadic models for incompressible ideal magnetohydrodynamics, one with a uni-directional energy cascade and the other one with both forward and backward energy cascades. Global existence of weak solutions and local well-posedness are established for both models. In addition, solutions to the model with uni-directional energy cascade associated with positive initial data are shown to develop blow-up at a finite time. Moreover, a set of fixed points is found for each model. Linear instability about some particular fixed points is proved. Comment: 20 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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