Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

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dc.creatorCao, Chongsheng
dc.creatorWu, Jiahong
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:31:39Z
dc.date.available2026-07-07T12:31:39Z
dc.descriptionWhether or not classical solutions of the 2D incompressible MHD equations without full dissipation and magnetic diffusion can develop finite-time singularities is a difficult issue. A major result of this paper establishes the global regularity of classical solutions for the MHD equations with mixed partial dissipation and magnetic diffusion. In addition, the global existence, conditional regularity and uniqueness of a weak solution is obtained for the 2D MHD equations with only magnetic diffusion.
dc.identifierhttps://arxiv.org/abs/0901.2908
dc.identifierhttp://arxiv.org/abs/0901.2908
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216521
dc.subjectAnalysis of PDEs
dc.subject35B45; 35B65; 76W05
dc.titleGlobal regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
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