Time periodic problems for Navier-Stokes equations in domains with cylindrical outlets to infinity ; Navjė-Stokso lygčių periodiniai laiko atžvilgiu uždaviniai srityse su cilindriniais išėjimais į begalybę

d d“thesis” — 2008/11/9 — 13:23 — page 1 — #1d dVILNIUS GEDIMINAS TECHNINICAL UNIVERSITETYINSTITUTE OF MATHEMATICS AND INFORMATICSVaidas KEBLIKASTIME PERIODIC PROBLEMS FORNAVIER STOKES EQUATIONS IN DOMAINSWITH CYLINDRICAL OUTLETS TOINFINITYDoctoral DissertationPhysical Sciences, Mathematics (01P)Vilnius 2008d dd dd d“thesis” — 2008/11/9 — 13:23 — page 2 — #2d dVILNIAUS GEDIMINO TECHNIKOS UNIVERSITETASMATEMATIKOS IR INFORMATIKOS INSTITUTASVaidas KEBLIKAS˙ ˇNAVJE STOKSO LYGCIU ˛ PERIODINIAILAIKO ATŽVILGIU UŽDAVINIAI SRITYSE˙SU CILINDRINIAIS IŠEJIMAIS I˛ BEGALYBE ˛Daktaro disertacijaFiziniai mokslai, matematika (01P)Vilnius 2008d dd dd d“thesis” — 2008/11/9 — 13:23 — page 3 — #3d dThe Dissertation was prepared at Institute of Mathematics and Informatics in2003–2008.Scientific supervisorProf Dr Habil Konstantinas PILECKAS (Institute of mathematics andinformatics, physical sciences, mathematics –01P).http://leidykla.vgtu.ltVGTU leidyklos TECHNIKA 1490 M mokslo literaturos¯ knygaISBN 978 9955 28 213 6c? Keblikas V., 2008d dd dd d“thesis” — 2008/11/9 — 13:23 — page i — #4d dAbstractThe research area of current PhD thesis is the analysis of the time peri-odic Navier–Stokes equations in domains with cylindrical outlets to infinity(system of pipes). The objects of investigation is so called non-stationaryPoiseuille solution in the straight cylinder, Stokes and Navier-Stokes equa-tions in domains with cylindrical outlets to infinity.