Matches in SemOpenAlex for { <https://semopenalex.org/work/W3036404776> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W3036404776 abstract "In 1990, von Wahl and, independently, Borchers and Sohr showed that a divergence-free vector field <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=u> <mml:semantics> <mml:mi>u</mml:mi> <mml:annotation encoding=application/x-tex>u</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in a 3D bounded domain that is tangential to the boundary can be written as the curl of a vector field vanishing on the boundary of the domain. We extend this result to higher dimension and to Lipschitz boundaries in a form suitable for integration in flat space, showing that <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=u> <mml:semantics> <mml:mi>u</mml:mi> <mml:annotation encoding=application/x-tex>u</mml:annotation> </mml:semantics> </mml:math> </inline-formula> can be written as the divergence of an antisymmetric matrix field. We also demonstrate how obtaining a kernel for such a matrix field is dual to obtaining a Biot-Savart kernel for the domain." @default.
- W3036404776 created "2020-06-25" @default.
- W3036404776 creator A5078338329 @default.
- W3036404776 date "2020-06-18" @default.
- W3036404776 modified "2023-09-25" @default.
- W3036404776 title "Stream functions for divergence-free vector fields" @default.
- W3036404776 cites W117993311 @default.
- W3036404776 cites W1545761024 @default.
- W3036404776 cites W1580029725 @default.
- W3036404776 cites W1968080396 @default.
- W3036404776 cites W1972128281 @default.
- W3036404776 cites W1986513041 @default.
- W3036404776 cites W2035620138 @default.
- W3036404776 cites W2071704402 @default.
- W3036404776 cites W2095699194 @default.
- W3036404776 cites W2747399681 @default.
- W3036404776 cites W2963196648 @default.
- W3036404776 cites W2963784701 @default.
- W3036404776 cites W3104788771 @default.
- W3036404776 cites W4210831178 @default.
- W3036404776 cites W4229536681 @default.
- W3036404776 cites W4252104256 @default.
- W3036404776 doi "https://doi.org/10.1090/qam/1575" @default.
- W3036404776 hasPublicationYear "2020" @default.
- W3036404776 type Work @default.
- W3036404776 sameAs 3036404776 @default.
- W3036404776 citedByCount "1" @default.
- W3036404776 countsByYear W30364047762023 @default.
- W3036404776 crossrefType "journal-article" @default.
- W3036404776 hasAuthorship W3036404776A5078338329 @default.
- W3036404776 hasBestOaLocation W30364047761 @default.
- W3036404776 hasConcept C11413529 @default.
- W3036404776 hasConcept C12267149 @default.
- W3036404776 hasConcept C154945302 @default.
- W3036404776 hasConcept C33923547 @default.
- W3036404776 hasConcept C41008148 @default.
- W3036404776 hasConceptScore W3036404776C11413529 @default.
- W3036404776 hasConceptScore W3036404776C12267149 @default.
- W3036404776 hasConceptScore W3036404776C154945302 @default.
- W3036404776 hasConceptScore W3036404776C33923547 @default.
- W3036404776 hasConceptScore W3036404776C41008148 @default.
- W3036404776 hasLocation W30364047761 @default.
- W3036404776 hasOpenAccess W3036404776 @default.
- W3036404776 hasPrimaryLocation W30364047761 @default.
- W3036404776 hasRelatedWork W19005950 @default.
- W3036404776 hasRelatedWork W24280781 @default.
- W3036404776 hasRelatedWork W25390757 @default.
- W3036404776 hasRelatedWork W27711578 @default.
- W3036404776 hasRelatedWork W28884356 @default.
- W3036404776 hasRelatedWork W31421113 @default.
- W3036404776 hasRelatedWork W32963653 @default.
- W3036404776 hasRelatedWork W33992838 @default.
- W3036404776 hasRelatedWork W4041458 @default.
- W3036404776 hasRelatedWork W6845847 @default.
- W3036404776 isParatext "false" @default.
- W3036404776 isRetracted "false" @default.
- W3036404776 magId "3036404776" @default.
- W3036404776 workType "article" @default.