| Title |
On nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in a symmetric cusp domain / |
| Authors |
Kaulakytė, Kristina ; Klovienė, Neringa |
| DOI |
10.3846/mma.2021.12173 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Tech Press. 2021, vol. 26, no. 1, p. 55-71.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
stationary Navier-Stokes equations ; nonhomogeneous boundary condition ; cusp point singularity ; multiply connected domain ; nonzero fluxes |
| Abstract [eng] |
The nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in 2D symmetric multiply connected domain with a cusp point on the boundary is studied. It is assumed that there is a source or sink in the cusp point. A symmetric solenoidal extension of the boundary value satisfying the Leray-Hopf inequality is constructed. Using this extension, the nonhomogeneous boundary value problem is reduced to homogeneous one and the existence of at least one weak symmetric solution is proved. No restrictions are assumed on the size of fluxes of the boundary value. |
| Published |
Vilnius : Vilnius Tech Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
