Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions

W. M. Zajączkowski. Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions. 2002. <http://eudml.org/doc/285983>.

@book{W2002,
abstract = {We examine the nonstationary Stokes system in a bounded domain with the boundary slip conditions. We assume that there exists a line which crosses the domain and that the data belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then the existence of solutions in Sobolev spaces with the corresponding weights is proved.},
author = {W. M. Zajączkowski},
keywords = {three-dimensional nonstationary Stokes problem; initial-boundary value problem; bounded domain; conical point theory; boundary slip conditions; global existence of solutions; weighted Sobolev spaces; regularity of weak solutions; domain with preferred axis},
language = {eng},
title = {Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions},
url = {http://eudml.org/doc/285983},
year = {2002},
}

TY - BOOK
AU - W. M. Zajączkowski
TI - Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions
PY - 2002
AB - We examine the nonstationary Stokes system in a bounded domain with the boundary slip conditions. We assume that there exists a line which crosses the domain and that the data belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then the existence of solutions in Sobolev spaces with the corresponding weights is proved.
LA - eng
KW - three-dimensional nonstationary Stokes problem; initial-boundary value problem; bounded domain; conical point theory; boundary slip conditions; global existence of solutions; weighted Sobolev spaces; regularity of weak solutions; domain with preferred axis
UR - http://eudml.org/doc/285983
ER -