| Title |
Asymptotic conditions at infinity for the time-periodic Stokes problem set in domains with cylindrical outlets to infinity / |
| Translation of Title |
Laiko atžvilgiu periodinio Stokso uždavinio srityse su cilindriniais išėjimais asimptotinės sąlygos begalybėje. |
| Authors |
Skujus, Mindaugas |
| Full Text |
|
| Pages |
110 |
| Keywords [eng] |
Stokes problem ; cylindrical outlets ; time-periodic |
| Abstract [eng] |
The thesis is concerned with the analysis of the time-periodic Stokes system set in domains with several cylindrical outlets to infinity. This mathematical model describes the pulsating flow of the viscous incompressible fluid in systems of thin and long pipes. We derive the generalized Green formula, which allows us to formulate so called asymptotic conditions at infinity. These conditions ensure the unique solvability of the Stokes problem in the class of functions with unbounded Dirichlet's integrals. We present also the special class of asymptotic conditions at infinity which models flows with prescribed flow-rates and pressures in pipes. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2014 |
