About: On Kelvin-Voigt model and its generalizations

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.3934/eect.2012.1.17
Description	We consider a generalization of the Kelvin-Voigt model where the elastic part of the Cauchy stress depends non-linearly on the linearized strain and the dissipative part of the Cauchy stress is a nonlinear function of the symmetric part of the velocity gradient. The assumption that the Cauchy stress depends non-linearly on the linearized strain can be justified if one starts with the assumption that the kinematical quantity, the left Cauchy-Green stretch tensor, is a nonlinear function of the Cauchy stress, and linearizes under the assumption that the displacement gradient is small. Long-time and large data existence, uniqueness and regularity properties of weak solution to such a generalized Kelvin-Voigt model are established for the non-homogeneous mixed boundary value problem. The main novelty with regard to the mathematical analysis consists in including nonlinear (non-quadratic) dissipation in the problem. We consider a generalization of the Kelvin-Voigt model where the elastic part of the Cauchy stress depends non-linearly on the linearized strain and the dissipative part of the Cauchy stress is a nonlinear function of the symmetric part of the velocity gradient. The assumption that the Cauchy stress depends non-linearly on the linearized strain can be justified if one starts with the assumption that the kinematical quantity, the left Cauchy-Green stretch tensor, is a nonlinear function of the Cauchy stress, and linearizes under the assumption that the displacement gradient is small. Long-time and large data existence, uniqueness and regularity properties of weak solution to such a generalized Kelvin-Voigt model are established for the non-homogeneous mixed boundary value problem. The main novelty with regard to the mathematical analysis consists in including nonlinear (non-quadratic) dissipation in the problem. (en)
Title	On Kelvin-Voigt model and its generalizations On Kelvin-Voigt model and its generalizations (en)
skos:prefLabel	On Kelvin-Voigt model and its generalizations On Kelvin-Voigt model and its generalizations (en)
skos:notation	RIV/00216208:11320/12:10124068!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/09/0917), P(LC06052)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Bulíček, Miroslav Málek, Josef
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	156261
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10124068
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	regularity; uniqueness; large data existence; weak solution; non-linear wave equation; viscoelastic solid; Kelvin-Voigt model (en)
http://linked.open.../riv/klicoveSlovo	uniqueness weak solution regularity Kelvin-Voigt model large data existence non-linear wave equation viscoelastic solid
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[87E1995EEF94]
http://linked.open...i/riv/nazevZdroje	Evolution Equations and Control Theory
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	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	1
http://linked.open...iv/tvurceVysledku	Bulíček, Miroslav Málek, Josef Rajagopal, K. R.
issn	2163-2480
number of pages	25 (xsd:int)
http://bibframe.org/vocab/doi	10.3934/eect.2012.1.17
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	On Kelvin-Voigt model and its generalizations

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