About: Shape Optimization for Stokes Problem with Threshold Slip

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.springer.com/article/10.1007%2Fs10492-014-0077-z
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. (en)
Title	Shape Optimization for Stokes Problem with Threshold Slip Shape Optimization for Stokes Problem with Threshold Slip (en)
skos:prefLabel	Shape Optimization for Stokes Problem with Threshold Slip Shape Optimization for Stokes Problem with Threshold Slip (en)
skos:notation	RIV/46747885:24620/14:#0000667!RIV15-MSM-24620___
http://linked.open...avai/riv/aktivita	I N P
http://linked.open...avai/riv/aktivity	I, N, P(GA201/09/0917), P(GAP201/12/0671)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Stebel, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Ústav pro nanomateriály, pokročilé technologie a inovace
http://linked.open...dnocenehoVysledku	44693
http://linked.open...ai/riv/idVysledku	RIV/46747885:24620/14:#0000667
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes problem; friction boundary condition; shape optimization (en)
http://linked.open.../riv/klicoveSlovo	friction boundary condition shape optimization Stokes problem
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[0B0EDA1EC73C]
http://linked.open...i/riv/nazevZdroje	Applications of Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials Variational and numerical analysis in nonsmooth continuum mechanics
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	59
http://linked.open...iv/tvurceVysledku	Haslinger, Jaroslav Stebel, Jan Sassi, Taoufik
http://linked.open...ain/vavai/riv/wos	00034508910
issn	0862-7940
number of pages	22 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10492-014-0077-z
http://localhost/t...ganizacniJednotka	24620

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