This HTML5 document contains 44 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n16http://linked.opendata.cz/resource/domain/vavai/projekt/
n15http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n18http://linked.opendata.cz/ontology/domain/vavai/
n9http://linked.opendata.cz/resource/domain/vavai/zamer/
n14http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F67985840%3A_____%2F06%3A00044581%21RIV07-AV0-67985840/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n6http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n4http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n13http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n8http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n17http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n10http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n12http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F06%3A00044581%21RIV07-AV0-67985840
rdf:type
skos:Concept n18:Vysledek
dcterms:description
A parabolic-hyperbolic nonconserved phase-field model is here analyzed. This is an evolution system consisting of a parabolic equation for the relative temperature .theta. which is nonlinearly coupled with a semilinear damped wave equation governing the order parameter .chi..The latter equation is characterized by a nonlinearity .fi.(.chi.) with cubic growth. Assuming homogeneous Dirichlet and Neumann boundary conditions for .theta. and .chi., we prove that any weak solution has an .omega.-limit set consisting of one point only. This is achieved by means of adapting a method based on the Łojasiewicz-Simon inequality. We also obtain an estimate of the decay rate to equilibrium. A parabolic-hyperbolic nonconserved phase-field model is here analyzed. This is an evolution system consisting of a parabolic equation for the relative temperature .theta. which is nonlinearly coupled with a semilinear damped wave equation governing the order parameter .chi..The latter equation is characterized by a nonlinearity .fi.(.chi.) with cubic growth. Assuming homogeneous Dirichlet and Neumann boundary conditions for .theta. and .chi., we prove that any weak solution has an .omega.-limit set consisting of one point only. This is achieved by means of adapting a method based on the Łojasiewicz-Simon inequality. We also obtain an estimate of the decay rate to equilibrium. V práci je analyzován evoluční systém sestávající z parabolické rovnice pro teplotu nelineárně spojené se semilineární tlumenou vlnovou rovnicí pro fázovou proměnnou s kubickou nelinearitou. Za předpokladu homogenních Dirichletových podmínek pro teplotu a množinu sestávající z jediného stacionárního stavu a je odhadnuta rychlost konvergenve k tomuto bodu. Důkaz se opírá o modifikaci Łojasiewiczovy-Simonovy věty.
dcterms:title
Konvergence ke stacionárním řešením pro parabolicko-hyperbolický systém fázového pole Convergence to stationary solutions for a parabolic-hyperbolic phase-field system Convergence to stationary solutions for a parabolic-hyperbolic phase-field system
skos:prefLabel
Konvergence ke stacionárním řešením pro parabolicko-hyperbolický systém fázového pole Convergence to stationary solutions for a parabolic-hyperbolic phase-field system Convergence to stationary solutions for a parabolic-hyperbolic phase-field system
skos:notation
RIV/67985840:_____/06:00044581!RIV07-AV0-67985840
n3:strany
827;838
n3:aktivita
n8:Z n8:P
n3:aktivity
P(IAA1019302), Z(AV0Z10190503)
n3:cisloPeriodika
4
n3:dodaniDat
n12:2007
n3:domaciTvurceVysledku
n15:3885763
n3:druhVysledku
n10:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
469807
n3:idVysledku
RIV/67985840:_____/06:00044581
n3:jazykVysledku
n13:eng
n3:klicovaSlova
phase-field models; convergence to stationary solutions; Łojasiewicz-Simon inequality
n3:klicoveSlovo
n6:convergence%20to%20stationary%20solutions n6:%C5%81ojasiewicz-Simon%20inequality n6:phase-field%20models
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[BA5B3D7C7C2F]
n3:nazevZdroje
Communications on Pure and Applied Analysis
n3:obor
n17:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n16:IAA1019302
n3:rokUplatneniVysledku
n12:2006
n3:svazekPeriodika
5
n3:tvurceVysledku
Petzeltová, Hana Schimperna, G. Grasselli, M.
n3:zamer
n9:AV0Z10190503
s:issn
1534-0392
s:numberOfPages
12