Liouville theorem for the steady-state non-Newtonian Navier-Stokes equations in two dimensions

DOI10.1007/s00021-013-0157-yzbMath1291.35184OpenAlexW2074567947MaRDI QIDQ2014694

Bum Ja Jin, Kyungkeun Kang

Publication date: 16 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00021-013-0157-y

zbMATH Keywords

Navier-Stokes equationsnon-NewtonianLiouville

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

• Liouville-type theorems for steady flows of degenerate power law fluids in the plane
• Regularity results for the quasi-static Bingham variational inequality in dimensions two and three
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Interior differentiability of weak solutions to the equations of stationary motion of a class of non-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
• A note on Liouville theorem for stationary flows of shear thickening fluids in the plane
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A note on steady flow of fluids with shear dependent viscosity
• An existence result for fluids with shear dependent viscosity — Steady flows
• \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem
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