Local existence and blow-up criterion for the two and three dimensional ideal magnetic Benard problem
| dc.contributor.author | Manna, Utpal | |
| dc.contributor.author | Panda, Akash Ashirbad | |
| dc.date.accessioned | 2021-10-04T17:54:55Z | |
| dc.date.available | 2021-10-04T17:54:55Z | |
| dc.date.issued | 2020-09-07 | |
| dc.description.abstract | In this article, we consider the ideal magnetic Bénard problem in both two and three dimensions and prove the existence and uniqueness of strong local-in-time solutions, in Hs for s > n/2 + 1, n = 2,3. In addition, a necessary condition is derived for singularity development with respect to the BMO-norm of the vorticity and electrical current, generalizing the Beale-Kato-Majda condition for ideal hydrodynamics. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Manna, U., & Panda, A. A. (2020). Local existence and blow-up criterion for the two and three dimensional ideal magnetic Benard problem. <i>Electronic Journal of Differential Equations, 2020</i>(91), pp. 1-26. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14598 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Magnetic Benard problem | |
| dc.subject | Commutator estimates | |
| dc.subject | Blow-up criterion | |
| dc.subject | Logarithmic Sobolev inequality | |
| dc.title | Local existence and blow-up criterion for the two and three dimensional ideal magnetic Benard problem | |
| dc.type | Article |