LAUSR

Global regularity criterion for the Navier‐Stokes equations based on the direction of vorticity

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0 Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5818

Abstract: We study the regularity criterion for the Navier‐Stokes equations and show that the (β1,β2,β3)‐Hölder continuity assumption in (x1,x2,x3) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as… read more here.

Keywords: navier stokes; stokes equations; regularity criterion; criterion navier ... See more keywords

A refined regularity criterion for the Navier–Stokes equations involving one non-diagonal entry of the velocity gradient

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0 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.04.049

Abstract: Abstract This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4] and [10] a lot. read more here.

Keywords: regularity criterion; criterion navier; stokes equations; refined regularity ... See more keywords

A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl

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1 Published in 2023 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0125404

Abstract: In this paper, we are devoted to establishing a new regularity criterion of weak solutions to incompressible axisymmetric Boussinesq equations. More precisely, we prove that for a small ϵ > 0, if the angular component… read more here.

Keywords: regularity criterion; boussinesq equations; boussinesq; axisymmetric boussinesq ... See more keywords

A logarithmically improved regularity criterion for the MHD equations in terms of one directional derivative of the pressure

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0 Published in 2017 at "Applicable Analysis"

DOI: 10.1080/00036811.2016.1207246

Abstract: In this paper, a logarithmically improved regularity criterion for the incompressible magnetohydrodynamics equation is established in terms of the derivative of the pressure in one direction. It is shown that if the partial derivative of… read more here.

Keywords: regularity criterion; logarithmically improved; regularity; derivative pressure ... See more keywords

A regularity criterion for the 3D Boussinesq equations

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1 Published in 2020 at "Applicable Analysis"

DOI: 10.1080/00036811.2020.1834537

Abstract: In this paper, we consider the regularity criteria of 3D incompressible Boussinesq equations. By using the Littlewood–Paley decomposition technique to establishing a regularity criterion in terms o... read more here.

Keywords: boussinesq equations; regularity criterion; regularity; criterion boussinesq ... See more keywords

A regularity criterion for the Keller-Segel-Euler system

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0 Published in 2017 at "Boundary Value Problems"

DOI: 10.1186/s13661-017-0860-3

Abstract: We consider a Keller-Segel-Euler model and prove a regularity criterion of the local strong solutions in a 3D bounded domain Ω. read more here.

Keywords: regularity criterion; segel euler; keller segel;