Numerical study on how advection delays and removes singularity formation in the Navier-Stokes equations

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17) Singularity in context of PDEs (35A21) Blow-up in context of PDEs (35B44) Euler equations (35Q31) PDEs on time scales (35R07)

Cites Work

On a one-dimensional model for the three-dimensional vorticity equation
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
Infinite energy solutions of the surface quasi-geostrophic equation
On the effects of advection and vortex stretching
On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid
On a generalization of the Constantin–Lax–Majda equation
Numerical study of the Eulerian–Lagrangian formulation of the Navier–Stokes equations
On the stabilizing effect of convection in three-dimensional incompressible flows
Small-scale structure of the Taylor–Green vortex
Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications
On global solutions for the Constantin–Lax–Majda equation with a generalized viscosity term
A simple one‐dimensional model for the three‐dimensional vorticity equation
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations
Singularity formation and global Well-posedness for the generalized Constantin–Lax–Majda equation with dissipation
Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
Finite-time blowup for the inviscid vortex stretching equation
Potentially singular behavior of the 3D Navier-Stokes equations
A Helmholtz-type decomposition for the space of symmetric matrices

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