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...
I tiakina i:
| Kaituhi matua: | |
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| Hōputu: | Online |
| Reo: | Ingarihi |
| I whakaputaina: |
Logos Verlag Berlin
2022
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| Urunga tuihono: | OCN: 1266653208 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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| _version_ | 1869514698747019264 |
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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-84279 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Logos Verlag Berlin |
| publisherStr | Logos Verlag Berlin |
| record_format | ojs |
| spelling | doab-20.500.12854ir-842792025-07-31T01:51:26Z Existence and Spatial Decay of Periodic Navier–Stokes Flows in Exterior Domains Eiter, Thomas 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. 2022-06-19T04:04:54Z 2022-06-19T04:04:54Z 2022-06-18T05:37:43Z 2020 book OCN: 1266653208 https://library.oapen.org/handle/20.500.12657/56787 9783832551087 https://directory.doabooks.org/handle/20.500.12854/84279 eng open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/56787/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/56787/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/56787/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/56787/1/external_content.pdf Logos Verlag Berlin Logos Verlag Berlin https://doi.org/10.30819/5108 https://doi.org/10.30819/5108 04b263a1-7fba-4491-9eae-1c394ac42fc3 Knowledge Unlatched 9783832551087 Knowledge Unlatched (KU) KU Open Services Logos Verlag Berlin open access |
| spellingShingle | 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 |
| url | OCN: 1266653208 |
| work_keys_str_mv | AT eiterthomas existenceandspatialdecayofperiodicnavierstokesflowsinexteriordomains |