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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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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Abstract 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.
AbstractList In this work, penalty approximations to the steady state Navier-Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flows in bounded convex domains in R exp d (2 < or = d) are studied. Existence and uniqueness of solutions to the penalty approximations are proved, convergence is shown, and rates of convergence are derived.
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.
Author Wei, Dongming
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Snippet In this work, penalty approximations to the steady state Navier-Stokes problem governed by the the power-law model for viscous incompressible non-Newtonian...
In this work, penalty approximations to the steady state Navier-Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flows...
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SubjectTerms AMS(MOS) Subject Classification: 35J65; 35J70; 65N12; 65N15; 76A05; 76D03; 76D05
Convergence
Error estimates
Non-Newtonian flows
Penalty method
Power-law
Title PENALTY APPROXIMATIONS TO THE STATIONARY POWER-LAW NAVIER-STOKES PROBLEM
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