Approximation of the incompressible non‐Newtonian fluid equations by the artificial compressibility method

DOI10.1002/mma.2658zbMath1267.35171OpenAlexW2055092591MaRDI QIDQ4921724

Caidi Zhao

Publication date: 13 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2658

zbMATH Keywords

approximationartificial compressibility methodincompressible non-Newtonian fluid equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (7)

Existence of the uniform trajectory attractor for a 3D incompressible non-Newtonian fluid flow ⋮ Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid ⋮ Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law ⋮ Approximation of a class of incompressible third grade fluids equations ⋮ Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays ⋮ Approximation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method ⋮ Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors

Cites Work

• Unnamed Item
• Unnamed Item
• On the incompressible limits for the full magnetohydrodynamics flows
• Cauchy problem for the non-Newtonian viscous incompressible fluid
• Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
• Pullback attractors for a non-autonomous incompressible non-Newtonian fluid
• The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries
• Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid
• Incompressible limit for a viscous compressible fluid
• Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids
• Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays
• L 2 -compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space
• Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid
• ON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMS
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Phenomenological behavior of multipolar viscous fluids
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• On the incompressible limit of the compressible navier-stokes equations
• Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
• Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor
• Incompressible, inviscid limit of the compressible Navier-Stokes system
• Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions

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