On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component

From MaRDI portal
Publication:2447082

DOI10.1016/j.na.2014.03.018zbMath1291.35192OpenAlexW1978816659MaRDI QIDQ2447082

Zdeněk Skalák

Publication date: 24 April 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.03.018




Related Items (28)

On the regularity criteria for liquid crystal flows involving the gradient of one velocity componentA refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradientA note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity componentRegularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity componentsRemark on regularity criterion via pressure in anisotropic Lebesgue spaces to the 3d Navier-Stokes equationsA generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity componentRemarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity componentSome new multiplicative Sobolev inequalities with applications to the Navier–Stokes equationsRegularity criteria for weak solutions of the magneto-micropolar equationsConditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensorAn almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity componentA note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity componentAn anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent rangeNavier-Stokes regularity criteria in Vishik spacesAn improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity fieldRegularity criteria for the Navier-Stokes equations based on one component of velocityThe anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity componentOn the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusionRegularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity componentOn regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradientOn conditional regularity for the MHD equations via partial componentsRegularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equationsA regularity criterion for the Navier-Stokes equations based on the gradient of one velocity componentAsymptotic behavior of exact solutions for the Cauchy problem to the 3D cylindrically symmetric Navier–Stokes equationsExact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equationsSome remarks on the Navier-Stokes equations with regularity in one direction.Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradientOn the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient



Cites Work


This page was built for publication: On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component