The magneto-geostrophic equations: a survey. (English) Zbl 1307.76027
Apushkinskaya, Darya (ed.) et al., Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9–13, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1551-8/hbk). Translations. Series 2. American Mathematical Society 232, 53-78 (2014).
Summary: We discuss recent results obtained by the authors, regarding the analysis of the magneto-geostrophic equation: a model proposed by Moffatt and Loper to study the geodynamo and turbulence in the Earth’s fluid core. We conclude this review by indicating some open problems around the MG equation that remain to be addressed in the future.
For the entire collection see [Zbl 1296.35004].
For the entire collection see [Zbl 1296.35004].
MSC:
| 76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
| 35Q35 | PDEs in connection with fluid mechanics |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
