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

• Published in: Numerical functional analysis and optimization Vol. 22; no. 5-6; pp. 749 - 765
• Main Author: Wei, Dongming
• Format: Journal Article
• Language: English
• 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

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...