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Statements

Subject Item
n2:RIV%2F46747885%3A24620%2F14%3A%230000667%21RIV15-MSM-24620___
rdf:type
n4:Vysledek skos:Concept
rdfs:seeAlso
http://link.springer.com/article/10.1007%2Fs10492-014-0077-z
dcterms:description
We study the Stokes problems in a bounded planar domain Omega with a friction type boundary condition that switches between a slip and no-slip stage. Our main goal is to determine under which conditions concerning smoothness of Omega , solutions to the Stokes system with the slip boundary conditions depend continuously on variations of Omega. Having this result at our disposal, we easily prove the existence of a solution to optimal shape design problems for a large class of cost functionals. In order to release the impermeability condition, whose numerical treatment could be troublesome, we use a penalty approach. We introduce a family of shape optimization problems with the penalized state relations. Finally we establish convergence properties between solutions to the original and modified shape optimization problems when the penalty parameter tends to zero. We study the Stokes problems in a bounded planar domain Omega with a friction type boundary condition that switches between a slip and no-slip stage. Our main goal is to determine under which conditions concerning smoothness of Omega , solutions to the Stokes system with the slip boundary conditions depend continuously on variations of Omega. Having this result at our disposal, we easily prove the existence of a solution to optimal shape design problems for a large class of cost functionals. In order to release the impermeability condition, whose numerical treatment could be troublesome, we use a penalty approach. We introduce a family of shape optimization problems with the penalized state relations. Finally we establish convergence properties between solutions to the original and modified shape optimization problems when the penalty parameter tends to zero.
dcterms:title
Shape Optimization for Stokes Problem with Threshold Slip Shape Optimization for Stokes Problem with Threshold Slip
skos:prefLabel
Shape Optimization for Stokes Problem with Threshold Slip Shape Optimization for Stokes Problem with Threshold Slip
skos:notation
RIV/46747885:24620/14:#0000667!RIV15-MSM-24620___
n3:aktivita
n16:I n16:N n16:P
n3:aktivity
I, N, P(GA201/09/0917), P(GAP201/12/0671)
n3:cisloPeriodika
6
n3:dodaniDat
n14:2015
n3:domaciTvurceVysledku
n15:5114691
n3:druhVysledku
n17:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
44693
n3:idVysledku
RIV/46747885:24620/14:#0000667
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Stokes problem; friction boundary condition; shape optimization
n3:klicoveSlovo
n12:Stokes%20problem n12:friction%20boundary%20condition n12:shape%20optimization
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[0B0EDA1EC73C]
n3:nazevZdroje
Applications of Mathematics
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n5:GA201%2F09%2F0917 n5:GAP201%2F12%2F0671
n3:rokUplatneniVysledku
n14:2014
n3:svazekPeriodika
59
n3:tvurceVysledku
Sassi, Taoufik Stebel, Jan Haslinger, Jaroslav
n3:wos
00034508910
s:issn
0862-7940
s:numberOfPages
22
n8:doi
10.1007/s10492-014-0077-z
n9:organizacniJednotka
24620