In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation for the 3D Euler equation where the advection of vorticity is neglected. We will show that there are smooth solutions of this equation which blowup in finite-time, even when restricting to axisymmetric, swirl-free solutions. This provides further evidence of the role of advection in depleting nonlinear vortex stretching for solutions of the 3D Euler equation
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
This is the author accepted manuscript. The final version is available from IOP Publishing via the D...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularit...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
The question of whether the 3D incompressible Euler equations can develop a finite time singularity ...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
The open question of regularity of the fluid dynamical equations is considered one of the most funda...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
This is the author accepted manuscript. The final version is available from IOP Publishing via the D...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularit...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
We study the interplay between the local geometric properties and the non-blowup of the 3D incompres...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
The question of whether the 3D incompressible Euler equations can develop a finite time singularity ...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
The open question of regularity of the fluid dynamical equations is considered one of the most funda...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
This is the author accepted manuscript. The final version is available from IOP Publishing via the D...
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