Global regularity properties of steady shear thinning flows

DOI10.1016/j.jmaa.2017.01.016zbMath1378.35236arXiv1607.06297OpenAlexW2963864644MaRDI QIDQ2408748

Luigi C. Berselli, Michael Ružička

Publication date: 13 October 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06297

zbMATH Keywords

regularity of weak solutions\(p\)-Stokes type problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Incompressible inviscid fluids (76B99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

Natural second-order regularity for parabolic systems with operators having \((p, \delta)\)-structure and depending only on the symmetric gradient ⋮ A counterexample related to the regularity of the \(p\)-Stokes problem ⋮ Solenoidal difference quotients and their application to the regularity theory of the \(p\)-Stokes system ⋮ On the regularity of solution to the time-dependent p-Stokes system ⋮ Time regularity for parabolic \(p(x, t)\)-Laplacian system depending on the symmetric gradient ⋮ Non-isothermal non-Newtonian fluids: The stationary case ⋮ Global regularity for nonlinear systems with symmetric gradients ⋮ Global regularity for systems with \(p\)-structure depending on the symmetric gradient ⋮ The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions

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