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- Fabricius, JohnLuleå tekniska universitet,Matematiska vetenskaper (author)
Error estimates for pressure-driven Hele-Shaw flow
- Article/chapterEnglish2022
Publisher, publication year, extent ...
- American Mathematical Society (AMS),2022
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:ltu-91626
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-91626URI
- https://doi.org/10.1090/qam/1619DOI
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- Language:English
- Summary in:English
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Notes
- Validerad;2022;Nivå 2;2022-06-20 (joosat);
- We consider Stokes flow past cylindrical obstacles in a generalized Hele-Shaw cell, i.e. a thin three-dimensional domain confined between two surfaces. The flow is assumed to be driven by an external pressure gradient, which is modeled as a normal stress condition on the lateral boundary of the cell. On the remaining part of the boundary we assume that the velocity is zero. We derive a divergence-free (volume preserving) approximation of the flow by studying its asymptotic behavior as the thickness of the domain tends to zero. The approximation is verified by error estimates for both the velocity and pressure in H1- and L2-norms, respectively.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- NATURVETENSKAP Data- och informationsvetenskap Datavetenskap hsv//swe
- NATURAL SCIENCES Computer and Information Sciences Computer Sciences hsv//eng
- Hele-Shaw flow
- asymptotic expansions
- pressure boundary condition
- thin film flow
- error estimates
- Applied Mathematics
- Tillämpad matematik
Added entries (persons, corporate bodies, meetings, titles ...)
- Manjate, SalvadorLuleå tekniska universitet,Matematiska vetenskaper,Department of Mathematics and Informatics, Eduardo Mondlane University, Av. Julius Nyerere, 3453 Maputo, Mozambique(Swepub:ltu)salman (author)
- Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall (author)
- Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)
Related titles
- In:Quarterly of Applied Mathematics: American Mathematical Society (AMS)80:3, s. 575-5950033-569X1552-4485
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