About: Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Groundwater flow problems are mostly formulated by means of mass-balance equation combined with the Darcy law. In this way, the flow is governed by a parabolic equation. To prevent inaccuracies which may result from this formulation, the Cattaneo approach can be utilized. The paper presents groundwater flow equation adopting the Cattaneo approach. In both 2D and 3D cases, the equation is of hyperbolic type and contains a constant known as relaxation time. The article focuses further on energy solutions defined on unbounded time interval. It is shown that under certain conditions, such solutions are oscillatory. The conditions sufficient to ensure the oscillatory solutions are derived. An upper bound for the oscillatory time is found and proved to be independent of the particular solution. Groundwater flow problems are mostly formulated by means of mass-balance equation combined with the Darcy law. In this way, the flow is governed by a parabolic equation. To prevent inaccuracies which may result from this formulation, the Cattaneo approach can be utilized. The paper presents groundwater flow equation adopting the Cattaneo approach. In both 2D and 3D cases, the equation is of hyperbolic type and contains a constant known as relaxation time. The article focuses further on energy solutions defined on unbounded time interval. It is shown that under certain conditions, such solutions are oscillatory. The conditions sufficient to ensure the oscillatory solutions are derived. An upper bound for the oscillatory time is found and proved to be independent of the particular solution. (en)
Title	Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time (en)
skos:prefLabel	Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time (en)
skos:notation	RIV/68407700:21220/11:00190165!RIV12-MSM-21220___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA205/07/1311), P(GA205/09/1879), Z(MSM0021620855), Z(MSM6840770010)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Herrmann, Leopold
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	České vysoké učení technické v Praze / Fakulta strojní
http://linked.open...dnocenehoVysledku	218966
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/11:00190165
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Groundwater flow equation; modified Darcy's law; Cattaneo approach; relaxation time; hydraulic conductivity; oscillatory solutions of an autonomous problem; oscillatory time (en)
http://linked.open.../riv/klicoveSlovo	Cattaneo approach Groundwater flow equation modified Darcy's law oscillatory solutions of an autonomous problem oscillatory time relaxation time hydraulic conductivity
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[F9AAB1980C5F]
http://linked.open...i/riv/nazevZdroje	Mathematical Modelling and Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling of tidal effects in groundwater hydraulics Research of coupled hydrogeological and geochemical processes in a heterogeneous underground environment with the aid of computer models
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	16
http://linked.open...iv/tvurceVysledku	Herrmann, Leopold Mls, J.
http://linked.open...ain/vavai/riv/wos	000297747000002
http://linked.open...n/vavai/riv/zamer	Material flow mechanisms in the upper spheres of the Earth Aplikovaná matematika v technických a fyzikálních vědách
issn	1392-6292
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.3846/13926292.2011.627597
http://localhost/t...ganizacniJednotka	21220

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