About: Smooth bifurcation for an obstacle problem

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force $/lambda$ and supported by a unilateral connected fixed obstacle at the height $h$ is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by $/lambda$, $h$. In particular, the corresponding contact intervals depend smoothly on $/lambda$ and $h$. The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force $/lambda$ and supported by a unilateral connected fixed obstacle at the height $h$ is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by $/lambda$, $h$. In particular, the corresponding contact intervals depend smoothly on $/lambda$ and $h$. (en) Je dokázaná hladká bifurkace pro třídu variačních rovnic s multiparametrem. Je studován elastický nosník, který je stlačovaný silou lambda a podeprený jednostrannou pevnou překážkou ve výšce h. Na příkladu nosníku je ukázáno, že netriviální řešení mající za kontaktní množinu interval, bifurkují z nulového řešení a tvoří hladkou rodinu řešení parametrizovanou pomocí lambda a h. Množina dotyku také hladce závisí na lambda a h. (cs)
Title	Smooth bifurcation for an obstacle problem Hladká bifurkace pro problém nosníku se souvislou překážkou (cs) Smooth bifurcation for an obstacle problem (en)
skos:prefLabel	Smooth bifurcation for an obstacle problem Hladká bifurkace pro problém nosníku se souvislou překážkou (cs) Smooth bifurcation for an obstacle problem (en)
skos:notation	RIV/67985840:_____/05:00000471!RIV/2005/AV0/A05005/N
http://linked.open.../vavai/riv/strany	121;140
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1019202), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2005
http://linked.open...aciTvurceVysledku	Eisner, Jan Kučera, Milan
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	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	543184
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/05:00000471
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	bifurcation;unilaterally supported beam;variational inequalities (en)
http://linked.open.../riv/klicoveSlovo	variational inequalities bifurcation unilaterally supported beam
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[EE19432B182F]
http://linked.open...i/riv/nazevZdroje	Differential and Integral Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Bifurcation and stability for variational inequalities with applications to mathematical models in natural sciences
http://linked.open...UplatneniVysledku	2005
http://linked.open...v/svazekPeriodika	18
http://linked.open...iv/tvurceVysledku	Eisner, Jan Kučera, Milan Recke, L.
http://linked.open...n/vavai/riv/zamer	Complex development of all branches of mathematics with regard to the needs of physics and technology
issn	0893-4983
number of pages	20 (xsd:int)

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