On boundary-driven time-dependent Oseen flows

Paul Deuring. "On boundary-driven time-dependent Oseen flows." Banach Center Publications 81.1 (2008): 119-132. <http://eudml.org/doc/282010>.

@article{PaulDeuring2008,
abstract = {We consider the single layer potential associated to the fundamental solution of the time-dependent Oseen system. It is shown this potential belongs to L²(0,∞,H¹(Ω)³) and to H¹(0,∞,V') if the layer function is in L²(∂Ω×(0,∞)³). (Ω denotes the complement of a bounded Lipschitz set; V denotes the set of smooth solenoidal functions in H¹₀(Ω)³.) This result means that the usual weak solution of the time-dependent Oseen function with zero initial data and zero body force may be represented by a single layer potential, provided a certain integral equation involving the boundary data may be solved.},
author = {Paul Deuring},
journal = {Banach Center Publications},
keywords = {single-layer potential; weak solution; integral equation},
language = {eng},
number = {1},
pages = {119-132},
title = {On boundary-driven time-dependent Oseen flows},
url = {http://eudml.org/doc/282010},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Paul Deuring
TI - On boundary-driven time-dependent Oseen flows
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 119
EP - 132
AB - We consider the single layer potential associated to the fundamental solution of the time-dependent Oseen system. It is shown this potential belongs to L²(0,∞,H¹(Ω)³) and to H¹(0,∞,V') if the layer function is in L²(∂Ω×(0,∞)³). (Ω denotes the complement of a bounded Lipschitz set; V denotes the set of smooth solenoidal functions in H¹₀(Ω)³.) This result means that the usual weak solution of the time-dependent Oseen function with zero initial data and zero body force may be represented by a single layer potential, provided a certain integral equation involving the boundary data may be solved.
LA - eng
KW - single-layer potential; weak solution; integral equation
UR - http://eudml.org/doc/282010
ER -