Liouville theorems for stationary flows of shear thickening fluids in the plane

DOI10.1007/s00021-011-0070-1zbMath1254.76055OpenAlexW1978782588MaRDI QIDQ1928851

Fuchs, Martin

Publication date: 4 January 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-011-0070-1

zbMATH Keywords

Liouville theoremsgeneralized Newtonian fluidsequations of Navier-Stokes typesteady flows in the plane

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to problems in fluid mechanics (76M30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

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A Liouville theorem for stationary incompressible fluids of von Mises type ⋮ Liouville-type theorems for steady flows of degenerate power law fluids in the plane ⋮ Asymptotic properties of the plane shear thickening fluids with bounded energy integral ⋮ Stability of the Couette flow under the 2D steady Navier–Stokes flow ⋮ Liouville theorems for entire local minimizers of energies defined on the class \(L \log L\) and for entire solutions of the stationary Prandtl-Eyring fluid model ⋮ A note on Liouville theorem for stationary flows of shear thickening fluids in the plane ⋮ Liouville type theorems for the planar stationary MHD equations with growth at infinity ⋮ A Liouville theorem for the plane shear thickening fluids ⋮ A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D ⋮ Liouville theorem for the steady-state non-Newtonian Navier-Stokes equations in two dimensions ⋮ Liouville-type results in two dimensions for stationary points of functionals with linear growth ⋮ Liouville-type theorems for the stationary MHD equations in 2D

Cites Work

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• Stationary flows of shear thickening fluids in 2D
• Liouville theorems for the Navier-Stokes equations and applications
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Regularity results for stationary electro-rheological fluids
• A note on non-uniformly elliptic Stokes-type systems in two variables

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