Mathematical properties of flows of incompressible power-law-like fluids
Result description
We report on very recent developments concerning the modelling of the complex behaviour of materials within the framework of implicit constitutive theory due to K.~R.~Rajagopal. In this paper, we restrict ourselves to a hierarchy of power-law-like fluids. For such a class of fluids, we provide an overview of recent results concerning the mathematical analysis of the relevant boundary value problems. Mathematical results are presented for the (Rothe) time discretizations of evolutionary problems. The main purpose of this paper is to emphasize the mathematical tools involved in the theoretical analysis and to initiate the development of the numerical methods for the problems presented here.
Keywords
Mathematicalpropertiesflowsincompressiblepower-law-likefluids
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Mathematical properties of flows of incompressible power-law-like fluids
Original language description
We report on very recent developments concerning the modelling of the complex behaviour of materials within the framework of implicit constitutive theory due to K.~R.~Rajagopal. In this paper, we restrict ourselves to a hierarchy of power-law-like fluids. For such a class of fluids, we provide an overview of recent results concerning the mathematical analysis of the relevant boundary value problems. Mathematical results are presented for the (Rothe) time discretizations of evolutionary problems. The main purpose of this paper is to emphasize the mathematical tools involved in the theoretical analysis and to initiate the development of the numerical methods for the problems presented here.
Czech name
Matematická analýza proudění nestlačitelných tekutin mocniného typu
Czech description
Matematická analýza proudění nestlačitelných tekutin mocniného typu
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Transactions on Numerical Analysis
ISSN
1068-9613
e-ISSN
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Volume of the periodical
31
Issue of the periodical within the volume
2008
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2008