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Methods and Applications of Analysis
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Methods and Applications of Analysis
Article . 2002 . Peer-reviewed
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https://dx.doi.org/10.4310/maa...
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Dirichlet problems for a nonstationary linearized system of Navier–Stokes equations in non-cylindrical domains

Dirichlet problems for a nonstationary linearized system of Navier-Stokes equations in non-cylindrical domains
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 English Publisher:International Press of BostonJournal:Methods and Applications of Analysis, volume 9, pages 13-98 (issn: 1073-2772, eissn: 1945-0001, Copyright policy )
Authors: Hofmann, Steve; Nyström, Kaj;

doi: 10.4310/maa.2002.v9.n1.a2

Dirichlet problems for a nonstationary linearized system of Navier–Stokes equations in non-cylindrical domains

Abstract

The authors consider \(L_2\)-boundary value problems for the instationary Stokes system over non-smooth time-varying infinite cylinders. Results on solvability, uniqueness, and regularity are obtained for Dirichlet and Neumann type boundary conditions via the study of parabolic layer potentials.

Keywords

layer potentials, Maximal functions, Littlewood-Paley theory, Navier-Stokes equations, Carleson measures, time-varying domains, Potentials and capacities, extremal length and related notions in higher dimensions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
bronze