# On boundary-driven time-dependent Oseen flows

Banach Center Publications (2008)

- Volume: 81, Issue: 1, page 119-132
- ISSN: 0137-6934

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topPaul 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 -

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