Regularity criteria for 3D shear‐thinning fluids in terms of two components of vorticity (Q6152677)

scientific article; zbMATH DE number 7816007

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English	Regularity criteria for 3D shear‐thinning fluids in terms of two components of vorticity	scientific article; zbMATH DE number 7816007

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instance of

scholarly article

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title

Regularity criteria for 3D shear‐thinning fluids in terms of two components of vorticity (English)

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author

Cholmin Sin

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Jisong Pak

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Evgenii S. Baranovskii

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published in

Mathematical Methods in the Applied Sciences

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publication date

12 March 2024

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zbMATH Keywords

non-Newtonian fluid

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regularity criteria

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shear-thinning fluid

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strong solution

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two components of vorticity

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weak solution

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.9564

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cites work

Q5576913

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Q4865486

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Cauchy problem for the non-Newtonian viscous incompressible fluid

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Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity

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Existence of weak solutions for unsteady motions of generalized Newtonian fluids

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Existence of strong solutions for incompressible fluids with shear-dependent viscosities

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Strong solutions for generalized Newtonian fluids

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A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity

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Existence of optimal control for a nonlinear-viscous fluid model

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Optimal boundary control of nonlinear-viscous fluid flows

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Feedback optimal control problem for a network model of viscous fluid flows

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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

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Bilinear estimates in \(BMO\) and the Navier-Stokes equations

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A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)

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Q4242041

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Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations

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Q3052933

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Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components

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Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components

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Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).

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Navier-Stokes equations with vorticity in Besov spaces of negative regular indices

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Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions

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Remark on the regularity criteria via partial components of vorticity to the Navier‐Stokes equations

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Regularity criterion via two components of velocity on weak solutions to the shear thinning fluids in \(\mathbb{R}^3\)

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Regularity criteria for 3D shear thinning fluids via two velocity components

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Serrin type regularity criterion for the shear thinning fluids via the velocity field

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On the theory of harmonic functions of several variables

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\(H^p\) spaces of several variables

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Compensated compactness and Hardy spaces

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6152677