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On the behavior of solutions of the nonstationary Stokes system near the vertex of a cone
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Univ Rostock, Germany.
2019 (English)In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, E-ISSN 1521-4001, article id UNSP e201800305Article in journal (Refereed) Epub ahead of print
Abstract [en]

The paper deals with the Dirichlet problem for the nonstationary Stokes system in a threedimensional cone. The authors study the asymptotics of the solutions near the vertex of the cone. They show that the solutions are sums of singular functions and a regular remainder, where the singular functions depend on the eigenvalues of a certain operator pencil.

Place, publisher, year, edition, pages
WILEY-V C H VERLAG GMBH , 2019. article id UNSP e201800305
Keywords [en]
asymptotics; conical points; nonstationary Stokes system
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-159726DOI: 10.1002/zamm.201800305ISI: 000478460400001OAI: oai:DiVA.org:liu-159726DiVA, id: diva2:1343834
Available from: 2019-08-19 Created: 2019-08-19 Last updated: 2019-08-19

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Kozlov, Vladimir
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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