dc.citation.startPage |
103953 |
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dc.citation.title |
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
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dc.citation.volume |
74 |
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dc.contributor.author |
Chae, Dongho |
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dc.contributor.author |
Choi, Kyudong |
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dc.contributor.author |
Jeong, In-Jee |
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dc.date.accessioned |
2023-12-21T11:40:55Z |
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dc.date.available |
2023-12-21T11:40:55Z |
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dc.date.created |
2023-07-31 |
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dc.date.issued |
2023-12 |
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dc.description.abstract |
We study systems interpolating between the 3D incompressible Euler and electron–MHD equations, given by ∂tB+V⋅∇B=B⋅∇V,V=−∇×(−Δ)−aB,∇⋅B=0,where B is a time-dependent vector field in R3. Under the assumption that the initial data is axi-symmetric without swirl, we prove local well-posedness of Lipschitz continuous solutions and existence of traveling waves in the range 1/2
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dc.identifier.bibliographicCitation |
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.74, pp.103953 |
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dc.identifier.doi |
10.1016/j.nonrwa.2023.103953 |
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dc.identifier.issn |
1468-1218 |
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dc.identifier.scopusid |
2-s2.0-85164225264 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/65068 |
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dc.identifier.wosid |
001062770800001 |
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dc.language |
영어 |
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dc.publisher |
Elsevier BV |
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dc.title |
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
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dc.relation.journalWebOfScienceCategory |
Mathematics, Applied |
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dc.relation.journalResearchArea |
Mathematics |
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dc.type.docType |
Article |
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dc.description.journalRegisteredClass |
scie |
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dc.description.journalRegisteredClass |
scopus |
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dc.subject.keywordAuthor |
Commutator estimate |
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dc.subject.keywordAuthor |
Euler equations |
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dc.subject.keywordAuthor |
Hall equations |
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dc.subject.keywordAuthor |
Traveling wave |
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dc.subject.keywordAuthor |
Well-posedness |
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dc.subject.keywordPlus |
FINITE-TIME SINGULARITY |
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dc.subject.keywordPlus |
VORTICITY GRADIENT |
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dc.subject.keywordPlus |
VORTEX-RINGS |
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dc.subject.keywordPlus |
EXPONENTIAL-GROWTH |
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dc.subject.keywordPlus |
NAVIER-STOKES |
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dc.subject.keywordPlus |
STEADY VORTEX |
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dc.subject.keywordPlus |
EXISTENCE |
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dc.subject.keywordPlus |
STABILITY |
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