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Stokes flow with kinematic and dynamic boundary conditions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-1993-8229
2019 (English)In: Quarterly of Applied Mathematics, ISSN 0033-569X, E-ISSN 1552-4485, Vol. 77, no 3, p. 525-544Article in journal (Refereed) Published
Abstract [en]

We review the first and second boundary value problems for the Stokes system posed in a bounded Lipschitz domain in . Particular attention is given to the mixed boundary condition: a Dirichlet condition is imposed for the velocity on one part of the boundary while a Neumann condition for the stress tensor is imposed on the remaining part. Some minor modifications to the standard theory are therefore required. The most noteworthy result is that both pressure and velocity are unique.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2019. Vol. 77, no 3, p. 525-544
Keywords [en]
Stokes equation, stress condition, traction condition, de Rham operator, pressure operator
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-74756DOI: 10.1090/qam/1534ISI: 000469390700004OAI: oai:DiVA.org:ltu-74756DiVA, id: diva2:1327474
Note

Validerad;2019;Nivå 2;2019-06-19 (johcin)

Available from: 2019-06-19 Created: 2019-06-19 Last updated: 2019-06-19Bibliographically approved

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Fabricius, John

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