LEADER 02711oam 2200469 450 001 9910418316203321 005 20230621141346.0 010 $a9783832551087 024 8 $ahttps://doi.org/10.30819/5108 035 $a(CKB)4100000011479721 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/64449 035 $a(OCoLC)1202562589 035 $a(ScCtBLL)8ab1de7c-9d1c-4eee-8be8-eddad3fb22f6 035 $a(EXLCZ)994100000011479721 100 $a20210223h20202020 fy 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExistence and spatial decay of periodic navier-stokes flows in exterior domains /$fThomas Eiter 210 $aBerlin/Germany$cLogos Verlag Berlin$d2020 210 1$aBerlin, Germany :$cLogos Verlag Berlin GmbH,$d[2020] 210 4$d©2020 215 $a1 online resource (x, 197) $cillustrations, charts; digital file(s) 300 $aAuthor's doctoral thesis, Technische Universität Darmstadt -- Title-page verso. 311 08$aPrint version: 3832551085 320 $aIncludes bibliographical references and index. 330 $aA 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. 606 $aEngineering 610 $aNavier-Stokes 610 $azeitperiodisch 610 $aAbklingverhalten 610 $aOseen 610 $aFundamentallösung 615 0$aEngineering. 700 $aEiter$b Thomas$0893373 712 02$aTechnische Universität Darmstadt, 801 0$bUkMaJRU 912 $a9910418316203321 996 $aExistence and spatial decay of periodic navier-stokes flows in exterior domains$91995662 997 $aUNINA