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DC Field | Value | Language |
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dc.citation.endPage | 663 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 645 | - |
dc.citation.title | NETWORKS AND HETEROGENEOUS MEDIA | - |
dc.citation.volume | 17 | - |
dc.contributor.author | Bae, Hantaek | - |
dc.date.accessioned | 2023-12-21T13:48:05Z | - |
dc.date.available | 2023-12-21T13:48:05Z | - |
dc.date.created | 2022-06-10 | - |
dc.date.issued | 2022-08 | - |
dc.description.abstract | In this paper, we deal with the Hall equations with fractional Laplacian B-t + curl((curl B) x B) + Lambda B = 0. We begin to prove the existence of unique global in time solutions with sufficiently small initial data in H-k, k > 5/2. By correcting Lambda B logarithmically, we then show the existence of unique local in time solutions. We also deal with the two dimensional systems closely related to the 21/2 dimensional version of the above Hall equations. In this case, we show the existence of unique local and global in time solutions depending on whether the damping term is present or not. | - |
dc.identifier.bibliographicCitation | NETWORKS AND HETEROGENEOUS MEDIA, v.17, no.4, pp.645 - 663 | - |
dc.identifier.doi | 10.3934/nhm.2022021 | - |
dc.identifier.issn | 1556-1801 | - |
dc.identifier.scopusid | 2-s2.0-85135724562 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/58672 | - |
dc.identifier.url | https://www.aimsciences.org/article/doi/10.3934/nhm.2022021 | - |
dc.identifier.wosid | 000800426100001 | - |
dc.language | 영어 | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | ON THE LOCAL AND GLOBAL EXISTENCE OF THE HALL EQUATIONS WITH FRACTIONAL LAPLACIAN AND RELATED EQUATIONS | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Hall equations | - |
dc.subject.keywordAuthor | fractional Laplacian | - |
dc.subject.keywordAuthor | well-posedness | - |
dc.subject.keywordPlus | BLOW-UP CRITERIA | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | MHD EQUATIONS | - |
dc.subject.keywordPlus | MAGNETIC RECONNECTION | - |
dc.subject.keywordPlus | REGULARITY CRITERIA | - |
dc.subject.keywordPlus | DECAY | - |
dc.subject.keywordPlus | MAGNETOHYDRODYNAMICS | - |
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