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On global regularity of 2D generalized magnetohydrodynamic equations
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dc.contributor.author | Tran, Chuong Van | |
dc.contributor.author | Yu, Xinwei | |
dc.contributor.author | Zhai, Zhichun | |
dc.date.accessioned | 2013-03-16T14:31:00Z | |
dc.date.available | 2013-03-16T14:31:00Z | |
dc.date.issued | 2013-05-15 | |
dc.identifier.citation | Tran , C V , Yu , X & Zhai , Z 2013 , ' On global regularity of 2D generalized magnetohydrodynamic equations ' , Journal of Differential Equations , vol. 254 , no. 10 , pp. 4194-4216 . https://doi.org/10.1016/j.jde.2013.02.016 | en |
dc.identifier.issn | 0022-0396 | |
dc.identifier.other | PURE: 20028549 | |
dc.identifier.other | PURE UUID: 4925fbc5-3f58-4381-aa65-d926047edfa7 | |
dc.identifier.other | Scopus: 84875064156 | |
dc.identifier.other | ORCID: /0000-0002-1790-8280/work/61133282 | |
dc.identifier.uri | https://hdl.handle.net/10023/3401 | |
dc.description.abstract | In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2, 2α+β>2; α≥2, β=0. We also show that in the inviscid case ν=0, if β>1, then smooth solutions are global as long as the direction of the magnetic field remains smooth enough. | |
dc.format.extent | 23 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Differential Equations | en |
dc.rights | This is an author version of this article. The published version Copyright © 2013 Elsevier Inc. is available from http://www.sciencedirect.com | en |
dc.subject | Magnetohydrodynamics | en |
dc.subject | Global regularity | en |
dc.subject | Generalized diffusion | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | On global regularity of 2D generalized magnetohydrodynamic equations | en |
dc.type | Journal article | en |
dc.description.version | Preprint | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1016/j.jde.2013.02.016 | |
dc.description.status | Peer reviewed | en |
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