A note on Liouville theorem for stationary flows of shear thickening fluids in the plane

DOI10.1007/s00021-013-0141-6zbMath1366.35149arXiv1206.5441OpenAlexW2090592123WikidataQ110212943 ScholiaQ110212943MaRDI QIDQ2441525

Guo Zhang

Publication date: 25 March 2014

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

Full work available at URL: https://arxiv.org/abs/1206.5441

zbMATH Keywords

Liouville theoremshear thickening fluidsentire weak solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

A Liouville theorem for stationary incompressible fluids of von Mises type ⋮ Asymptotic properties of the plane shear thickening fluids with bounded energy integral ⋮ Stability of the Couette flow under the 2D steady Navier–Stokes flow ⋮ Some Liouville-type results for the 3D incompressible MHD equations ⋮ Liouville type theorems for the planar stationary MHD equations with growth at infinity ⋮ A Liouville theorem for the plane shear thickening fluids ⋮ 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
• A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids
• Liouville theorems for stationary flows of shear thickening fluids in the plane
• 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

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