Add to ORKGBy exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field and the maximum vortex stretching. This new understanding leads to an improved result of the global existence of the 3D Euler equation under mild assumptions
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
24 pagesInternational audienceWe provide rigorous evidence of the fact that the modified Constantin-...
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...
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...
By performing estimates on the integral of the absolute value of vorticity along a local vortex line...
By performing estimates on the integral of the absolute value of vorticity along a local vortex line...
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation ...
Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularit...
We study the interplay between the local geometric properties and the non-blowup 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...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
24 pagesInternational audienceWe provide rigorous evidence of the fact that the modified Constantin-...
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...
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...
By performing estimates on the integral of the absolute value of vorticity along a local vortex line...
By performing estimates on the integral of the absolute value of vorticity along a local vortex line...
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation ...
Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularit...
We study the interplay between the local geometric properties and the non-blowup 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...
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompres...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
Whether the three-dimensional incompressible Euler equations can develop a singularity in finite tim...
24 pagesInternational audienceWe provide rigorous evidence of the fact that the modified Constantin-...