| Title |
Steady-state Navier-Stokes equations in thin tube structure with the Bernoulli pressure inflow boundary conditions: asymptotic analysis |
| Authors |
Juodagalvytė, Rita ; Panassenko, Grigory ; Pileckas, Konstantinas |
| DOI |
10.3390/math9192433 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2021, vol. 9, iss. 19, art. no. 2433, p. [1-20].. eISSN 2227-7390 |
| Keywords [eng] |
Navier–Stokes equations ; Bernoulli pressure boundary condition ; asymptotic approximation ; quasi-Poiseuille flows ; boundary layers |
| Abstract [eng] |
Steady-state Navier-Stokes equations in a thin tube structure with the Bernoulli pressure inflow-outflow boundary conditions and no-slip boundary conditions at the lateral boundary are considered. Applying the Leray-Schauder fixed point theorem, we prove the existence and uniqueness of a weak solution. An asymptotic approximation of a weak solution is constructed and justified by an error estimate. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
