On the Navier-Stokes equations with anisotropic wall slip conditions
Applications of Mathematics (2023)
- Volume: 68, Issue: 1, page 1-14
- ISSN: 0862-7940
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topLe Roux, Christiaan. "On the Navier-Stokes equations with anisotropic wall slip conditions." Applications of Mathematics 68.1 (2023): 1-14. <http://eudml.org/doc/299485>.
@article{LeRoux2023,
abstract = {This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip boundary condition in a bounded domain. Such problems arise when steady flows of fluids in domains with rough boundaries are approximated as flows in domains with smooth boundaries. It is proved by means of the Galerkin method that the boundary-value problem has a unique weak solution when the body force and the variability of the surface friction are sufficiently small compared to the viscosity and the surface friction.},
author = {Le Roux, Christiaan},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equations; Stokes equations; rough boundary; slip boundary condition},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Navier-Stokes equations with anisotropic wall slip conditions},
url = {http://eudml.org/doc/299485},
volume = {68},
year = {2023},
}
TY - JOUR
AU - Le Roux, Christiaan
TI - On the Navier-Stokes equations with anisotropic wall slip conditions
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 1
EP - 14
AB - This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip boundary condition in a bounded domain. Such problems arise when steady flows of fluids in domains with rough boundaries are approximated as flows in domains with smooth boundaries. It is proved by means of the Galerkin method that the boundary-value problem has a unique weak solution when the body force and the variability of the surface friction are sufficiently small compared to the viscosity and the surface friction.
LA - eng
KW - Navier-Stokes equations; Stokes equations; rough boundary; slip boundary condition
UR - http://eudml.org/doc/299485
ER -
References
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