Non-homogeneous generalized Newtonian fluids

DOI10.1007/s00209-007-0278-1zbMath1143.76007OpenAlexW1989993816MaRDI QIDQ943391

Jens Frehse, Michael Ružička

Publication date: 9 September 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0278-1

zbMATH Keywords

existence of weak solutionsvariational argumentvariable viscosity

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)

Related Items (12)

On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution ⋮ Random attractors for locally monotone stochastic partial differential equations ⋮ On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid ⋮ Large deviation principle for a class of SPDE with locally monotone coefficients ⋮ Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows ⋮ Unsteady flows of heat-conducting non-Newtonian fluids in Musielak–Orlicz spaces ⋮ $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids ⋮ Small time asymptotics for SPDEs with locally monotone coefficients ⋮ Global weak solutions to a class of non-Newtonian compressible fluids ⋮ Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids ⋮ Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs ⋮ Some qualitative properties of the solution to the magnetohydrodynamic equations for nonlinear bipolar fluids

Cites Work

• Orlicz spaces and modular spaces
• Strong solutions for generalized Newtonian fluids
• Ordinary differential equations, transport theory and Sobolev spaces
• Compact sets in the space \(L^ p(0,T;B)\)
• On the Stokes problem in Lipschitz domains
• An existence theorem for the multifluid Navier-Stokes problem
• Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
• Density-Dependent Incompressible Fluids with Non-Newtonian Viscosity
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Fractional estimates for non-differentiable elliptic systems with general growth
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
• EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY
• Some theoretical results for visco-plastic and dilatant fluids with variable density
• Optimal Convergence for the Implicit Space‐Time Discretization of Parabolic Systems with p‐Structure
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