Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains
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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| Aineistotyyppi: | Online |
| Kieli: | englanti |
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Logos Verlag Berlin
2021
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| Aiheet: | |
| Linkit: | ONIX_20210408_9783832551087_91 |
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| _version_ | 1869529124929798144 |
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| author | Eiter, Thomas |
| author_browse | Eiter, Thomas |
| author_facet | Eiter, Thomas |
| author_sort | Eiter, Thomas |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-64449 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Logos Verlag Berlin |
| publisherStr | Logos Verlag Berlin |
| record_format | ojs |
| spelling | doab-20.500.12854ir-644492024-04-04T14:41:09Z Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains Eiter, Thomas Navier-Stokes zeitperiodisch Abklingverhalten Oseen Fundamentallösung thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations 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. 2021-04-08T15:35:26Z 2021-04-08T15:35:26Z 2020 book ONIX_20210408_9783832551087_91 9783832551087 https://directory.doabooks.org/handle/20.500.12854/64449 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=5108&lng=eng&id= https://www.logos-verlag.de/ebooks/OA/978-3-8325-5108-7.pdf Logos Verlag Berlin Logos Verlag Berlin 10.30819/5108 10.30819/5108 04b263a1-7fba-4491-9eae-1c394ac42fc3 9783832551087 Logos Verlag Berlin 209 Berlin/Germany open access |
| spellingShingle | Navier-Stokes zeitperiodisch Abklingverhalten Oseen Fundamentallösung thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations Eiter, Thomas Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains |
| 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 |
| title_fullStr | Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains |
| title_full_unstemmed | Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains |
| title_short | 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 |
| topic | Navier-Stokes zeitperiodisch Abklingverhalten Oseen Fundamentallösung thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations |
| topic_facet | Navier-Stokes zeitperiodisch Abklingverhalten Oseen Fundamentallösung thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations |
| url | ONIX_20210408_9783832551087_91 |
| work_keys_str_mv | AT eiterthomas existenceandspatialdecayofperiodicnavierstokesflowsinexteriordomains |