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Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev...

Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_3eb86b43eced46e3a5c5c7c3eeb79c8c

Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev space

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Full title

Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev space

Author / Creator

Publisher

AIMS Press

Journal title

AIMS Mathematics, 2024-01, Vol.9 (3), p.5294-5329

Language

English

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Publisher

AIMS Press

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Scope and Contents

Contents

In this work, we investigated the local existence of the solutions to the 2D magnetohy-drodynamic (MHD) boundary layer equations on the half plane by energy methods in weighted Sobolev space. Compared to the existence of solutions to the classical Prandtl equations where the monotonicity condition of the tangential velocity plays an important role,...

Alternative Titles

Full title

Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev space

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Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_3eb86b43eced46e3a5c5c7c3eeb79c8c

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_3eb86b43eced46e3a5c5c7c3eeb79c8c

Other Identifiers

ISSN

2473-6988

E-ISSN

2473-6988

DOI

10.3934/math.2024256

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