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 space
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AIMS Press
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English
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AIMS Press
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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,...
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Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev space
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TN_cdi_doaj_primary_oai_doaj_org_article_3eb86b43eced46e3a5c5c7c3eeb79c8c
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_3eb86b43eced46e3a5c5c7c3eeb79c8c
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2473-6988
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2473-6988
DOI
10.3934/math.2024256