| Title |
Singuliarieji Stokso sistemų sprendiniai srityse su smailuma / |
| Translation of Title |
Singular solutions of the Stokes problems in the power cusp domains. |
| Authors |
Eismontaitė, Alicija |
| Full Text |
|
| Pages |
24 |
| Keywords [eng] |
Singular solutions ; power cusp domain ; asymptotic expansion ; Stokes problems. |
| Abstract [eng] |
In the thesis there are studied stationary, time-periodic and nonstationary Stokes problems in bounded domains having a singular point O on the boundary. We assume that there is a source or a sink of the fluid in the cusp point O. Therefore, the solutions of such problems are necessary singular. In order to represent such solutions, we construct the formal asymptotic expansion of the solution near the singular point of the boundary. By this way we reduce initially formulated problems to the case where the energy solution exists. The solution of all three problems (stationary, time-periodic and nonstationary) is found then as the sum of the asymptotic expansion and the term with finite dissipation of energy. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Summaries of doctoral thesis |
| Language |
Lithuanian |
| Publication date |
2019 |
