| Title |
On singular solutions of the stationary Navier-Stokes system in power cusp domains / |
| Authors |
Pileckas, Konstantinas ; Račienė, Alicija |
| DOI |
10.3846/mma.2021.13836 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Tech Press. 2021, vol. 26, no. 4, p. 651-668.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
stationary Navier-Stokes problem ; power cusp domain ; singular solutions ; asymptotic expansion |
| Abstract [eng] |
The boundary value problem for the steady Navier-Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved. |
| Published |
Vilnius : Vilnius Tech Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
