| Title |
Multiscale modelling of viscous flows in domains of complex geometry / |
| Translation of Title |
Daugiaskliai skysčių tekėjimo modeliai sudėtingos geometrijos srityse. |
| Authors |
Juodagalvytė, Rita |
| DOI |
10.15388/vu.thesis.386 |
| Full Text |
|
| Pages |
154 |
| Keywords [eng] |
Navier-Stokes equations ; thin tube structures ; asymptotic analysis ; time-periodic solutions ; Bernoulli pressure boundary conditions |
| Abstract [eng] |
The dissertation is dedicated to the simplified theoretical models for fluid flow in the network of thin cylinders. The time-periodic Stokes system was considered in an unbounded domain and the behavior of the solution at infinity was analyzed. The Navier-Stokes equations were considered in the network of thin tubes for 2 different cases: time-periodic with Dirichlet boundary condition, and the stationary one with the Bernoulli pressure boundary condition on the inflows and outflows. For these problems, the existence and uniqueness of the weak solution were proved and the asymptotic expansion was constructed when the diameters of the tubes tended to zero, These results may be applied by modeling the blood flow in the blood vessel network. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2022 |
