PENALTY APPROXIMATIONS TO THE STATIONARY POWER-LAW NAVIER-STOKES PROBLEM

In this work, penalty approximations to the steady state Navier-Stokes problem governed by the the power-law model for viscous incompressible non-Newtonian flows in bounded convex domains in R d (2 ≤ d) are studied. Existence and uniqueness of solutions to the penalty approximations are proved, conv...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 22; no. 5-6; pp. 749 - 765
Main Author Wei, Dongming
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.08.2001
Subjects
AMS(MOS) Subject Classification: 35J65; 35J70; 65N12; 65N15; 76A05; 76D03; 76D05
Convergence
Error estimates
Non-Newtonian flows
Penalty method
Power-law
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Summary:In this work, penalty approximations to the steady state Navier-Stokes problem governed by the the power-law model for viscous incompressible non-Newtonian flows in bounded convex domains in R d (2 ≤ d) are studied. Existence and uniqueness of solutions to the penalty approximations are proved, convergence is shown, and rates of convergence are derived.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0163-0563
1532-2467
DOI:10.1081/NFA-100105316