Remark on regularity criterion for weak solutions to the shear thinning fluids.

DOI10.21136/mb.2023.0024-23MaRDI QIDQ6648099

Jae-Myoung Kim

Publication date: 4 December 2024

Published in: Mathematica Bohemica (Search for Journal in Brave)

zbMATH Keywords

regularity criterionshear thinning fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)

Cites Work

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• Cauchy problem for the non-Newtonian viscous incompressible fluid
• A new Prodi-Serrin type regularity criterion in velocity directions
• Existence of strong solutions for incompressible fluids with shear-dependent viscosities
• Regularity criteria for 3D shear thinning fluids via two velocity components
• Regularity criterion via two components of velocity on weak solutions to the shear thinning fluids in \(\mathbb{R}^3\)
• A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations
• Convolution operators and L(p, q) spaces
• A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations
• Existence of weak solutions for unsteady motions of generalized Newtonian fluids

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