On the Serrin-type condition on one velocity component for the Navier-Stokes equations
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Publication:2032401
DOI10.1007/s00205-021-01636-5zbMath1472.35268arXiv1911.02699OpenAlexW3137898460MaRDI QIDQ2032401
Publication date: 11 June 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02699
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
Related Items (16)
Serrin-type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component ⋮ Regularity criteria for 3D MHD equations via mixed velocity-magnetic gradient tensors ⋮ Local regularity criteria in terms of one velocity component for the Navier-Stokes equations ⋮ A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl ⋮ Regularity criterion in terms of the oscillation of pressure for the 3D Navier-Stokes equations ⋮ ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS ⋮ Regularity criterion for 3D shear-thinning fluids via one component of velocity ⋮ Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ The local characterizations of the singularity formation for the MHD equations ⋮ On symmetry breaking for the Navier-Stokes equations ⋮ Scaling-invariant Serrin criterion via one velocity component for the Navier-Stokes equations ⋮ Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations ⋮ Quantitative transfer of regularity of the incompressible Navier-Stokes equations from \(\mathbb{R}^3\) to the case of a bounded domain ⋮ An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range ⋮ Prodi-Serrin condition for 3D Navier-Stokes equations via one directional derivative of velocity ⋮ An optimal regularity criterion for 3D Navier-Stokes equations involving the gradient of one velocity component
Cites Work
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- A local regularity condition involving two velocity components of Serrin-type for the Navier-Stokes equations
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations
- Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component
- Partial regularity of solutions to the Navier-Stokes equations
- Hausdorff measure and the Navier-Stokes equations
- Backward uniqueness for parabolic equations
- A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations
- Navier-Stokes equations with lower bounds on the pressure
- A contribution to the theory of regularity of a weak solution to the Navier-Stokes equations via one component of velocity and other related quantities
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations
- On a regularity criterion in terms of the gradient of pressure for the Navier-Stokes equations in \(\mathbb R^N\)
- Un teorema di unicita per le equazioni di Navier-Stokes
- On the critical one component regularity for 3-D Navier-Stokes system
- On the regularity of the solutions of the Navier–Stokes equations via one velocity component
- Regularity criteria for the three-dimensional Navier-Stokes equations
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
- Partial regularity of suitable weak solutions of the navier-stokes equations
- A Regularity Criterion for the Navier–Stokes Equations
- One component regularity for the Navier–Stokes equations
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Regularity criterion in terms of pressure for the Navier-Stokes equations
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