Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11310%2F11%3A10107849" target="_blank" >RIV/00216208:11310/11:10107849 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21220/11:00190165
Result on the web
<a href="http://dx.doi.org/10.3846/13926292.2011.627597" target="_blank" >http://dx.doi.org/10.3846/13926292.2011.627597</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3846/13926292.2011.627597" target="_blank" >10.3846/13926292.2011.627597</a>
Alternative languages
Result language
angličtina
Original language name
Oscillations for an Equation Arising in Groundwater Flow with the Relaxation Time
Original language description
Groundwater flow problems are mostly formulated by means of mass-balance equation combined with Darcy's law. In this way, the flow is governed by a parabolic equation. To prevent inaccuracies which may result from this formulation, the Cattaneo approachcan 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 proved to be independent ofthe particular solution.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Modeling and Analysis
ISSN
1392-6292
e-ISSN
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Volume of the periodical
16
Issue of the periodical within the volume
4
Country of publishing house
LT - LITHUANIA
Number of pages
10
Pages from-to
527-536
UT code for WoS article
000297747000002
EID of the result in the Scopus database
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