Existence and spatial decay of periodic navier-stokes flows in exterior domains / / Thomas Eiter.
A classical problem in the field of mathematical fluid mechanics is the flow of a viscous incompressible fluid past a rigid body. In his doctoral thesis, Thomas Walter Eiter investigates time-periodic solutions to the associated Navier-Stokes equations when the body performs a non-trivial translatio...
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Place / Publishing House: | Berlin, Germany : : Logos Verlag Berlin GmbH,, [2020] ©2020 |
Year of Publication: | 2020 |
Language: | English |
Physical Description: | 1 online resource (x, 197) :; illustrations, charts; digital file(s). |
Notes: | Author's doctoral thesis, Technische Universität Darmstadt -- Title-page verso. |
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Eiter, Thomas, 1966- author. Existence and spatial decay of periodic navier-stokes flows in exterior domains / Thomas Eiter. Berlin/Germany Logos Verlag Berlin 2020 Berlin, Germany : Logos Verlag Berlin GmbH, [2020] ©2020 1 online resource (x, 197) : illustrations, charts; digital file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rda Author's doctoral thesis, Technische Universität Darmstadt -- Title-page verso. Includes bibliographical references and index. Also available in print form. In English. Description based on e-publication, viewed on August 6, 2021. A classical problem in the field of mathematical fluid mechanics is the flow of a viscous incompressible fluid past a rigid body. In his doctoral thesis, Thomas Walter Eiter investigates time-periodic solutions to the associated Navier-Stokes equations when the body performs a non-trivial translation. The first part of the thesis is concerned with the question of existence of time-periodic solutions in the case of a non-rotating and of a rotating obstacle. Based on an investigation of the corresponding Oseen linearizations, new existence results in suitable function spaces are established. The second part deals with the study of spatially asymptotic properties of time-periodic solutions. For this purpose, time-periodic fundamental solutions to the Stokes and Oseen linearizations are introduced and investigated, and the concept of a time-periodic fundamental solution for the vorticity field is developed. With these results, new pointwise estimates of the velocity and the vorticity field associated to a time-periodic fluid flow are derived. CC BY-NC-ND Engineering. Navier-Stokes zeitperiodisch Abklingverhalten Oseen Fundamentallösung Technische Universität Darmstadt, degree awarding institution. Print version: 3832551085 |
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Eiter, Thomas, 1966- |
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Eiter, Thomas, 1966- Existence and spatial decay of periodic navier-stokes flows in exterior domains / |
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Eiter, Thomas, 1966- Technische Universität Darmstadt, Technische Universität Darmstadt, |
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Technische Universität Darmstadt, |
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Technische Universität Darmstadt, |
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Eiter, Thomas, 1966- |
title |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / |
title_full |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / Thomas Eiter. |
title_fullStr |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / Thomas Eiter. |
title_full_unstemmed |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / Thomas Eiter. |
title_auth |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / |
title_new |
Existence and spatial decay of periodic navier-stokes flows in exterior domains / |
title_sort |
existence and spatial decay of periodic navier-stokes flows in exterior domains / |
publisher |
Logos Verlag Berlin Logos Verlag Berlin GmbH, |
publishDate |
2020 |
physical |
1 online resource (x, 197) : illustrations, charts; digital file(s). Also available in print form. |
isbn |
9783832551087 3832551085 |
illustrated |
Illustrated |
oclc_num |
1202562589 |
work_keys_str_mv |
AT eiterthomas existenceandspatialdecayofperiodicnavierstokesflowsinexteriordomains AT technischeuniversitatdarmstadt existenceandspatialdecayofperiodicnavierstokesflowsinexteriordomains |
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Existence and spatial decay of periodic navier-stokes flows in exterior domains / |
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