We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved
We consider the Euler equation for an incompressible fluid on a three dimensional torus, a...
Using the test function technique, we obtain sufficient conditions for the blow-up of solutions to...
International audienceFinite-dimensional, inviscid equations of hydrodynamics, obtained through a Fo...
© 2014 American Mathematical Society.In this paper we prove that for a certain class of initial data...
Abstract. In this paper we briefly review recent results mostly by the author related to the blow-up...
AbstractThe blowup phenomena of solutions of the compressible Euler equations is investigated. The a...
In this talk, we will discuss the interaction between the stability, and the propagation of regulari...
Computing Euler singularities is an extremely challenging task. It requires huge computational resou...
AbstractThe blowup phenomena of solutions is investigated for the Euler equations of compressible fl...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, and the con...
International audienceThis paper presents a very short solution to the 4th Millennium problem about ...
The question of whether the 3D incompressible Euler equations can develop a finite time singularity ...
Motivated by the work on stagnation-point-type exact solutions (with infinite energy) of 3D Euler fl...
We will discuss a computational study of a new blow-up criterion for the 3D incompressible Euler equ...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, and the con...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, a...
Using the test function technique, we obtain sufficient conditions for the blow-up of solutions to...
International audienceFinite-dimensional, inviscid equations of hydrodynamics, obtained through a Fo...
© 2014 American Mathematical Society.In this paper we prove that for a certain class of initial data...
Abstract. In this paper we briefly review recent results mostly by the author related to the blow-up...
AbstractThe blowup phenomena of solutions of the compressible Euler equations is investigated. The a...
In this talk, we will discuss the interaction between the stability, and the propagation of regulari...
Computing Euler singularities is an extremely challenging task. It requires huge computational resou...
AbstractThe blowup phenomena of solutions is investigated for the Euler equations of compressible fl...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, and the con...
International audienceThis paper presents a very short solution to the 4th Millennium problem about ...
The question of whether the 3D incompressible Euler equations can develop a finite time singularity ...
Motivated by the work on stagnation-point-type exact solutions (with infinite energy) of 3D Euler fl...
We will discuss a computational study of a new blow-up criterion for the 3D incompressible Euler equ...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, and the con...
We consider the Euler equation for an incompressible fluid on a three dimensional torus, a...
Using the test function technique, we obtain sufficient conditions for the blow-up of solutions to...
International audienceFinite-dimensional, inviscid equations of hydrodynamics, obtained through a Fo...