Steady compressible Oseen flow with slip boundary conditions

Tomasz Piasecki. "Steady compressible Oseen flow with slip boundary conditions." Banach Center Publications 86.1 (2009): 247-264. <http://eudml.org/doc/281827>.

@article{TomaszPiasecki2009,
abstract = {We prove the existence of solution in the class H²(Ω) × H¹(Ω) to the steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with boundary of class $H^\{5/2\}$. The method is to regularize a weak solution obtained via the Galerkin method. The problem of regularization is reduced to the problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under an additional assumption on the geometry of the boundary.},
author = {Tomasz Piasecki},
journal = {Banach Center Publications},
keywords = {compressible Navier–Stokes flow; compressible Oseen flow; slip boundary conditions},
language = {eng},
number = {1},
pages = {247-264},
title = {Steady compressible Oseen flow with slip boundary conditions},
url = {http://eudml.org/doc/281827},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Tomasz Piasecki
TI - Steady compressible Oseen flow with slip boundary conditions
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 247
EP - 264
AB - We prove the existence of solution in the class H²(Ω) × H¹(Ω) to the steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with boundary of class $H^{5/2}$. The method is to regularize a weak solution obtained via the Galerkin method. The problem of regularization is reduced to the problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under an additional assumption on the geometry of the boundary.
LA - eng
KW - compressible Navier–Stokes flow; compressible Oseen flow; slip boundary conditions
UR - http://eudml.org/doc/281827
ER -