We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2D incompressible Euler equations. Existence of Lagrangian solutions is known when the initial vorticity is in $L^p$ with 1≤p≤∞. Moreover, if p≥3/2 all weak solutions are conservative. In this work we prove that solutions obtained via the vortex method are Lagrangian, and that they are conservative if p>1
We study whether some of the non-physical properties observed for weak solutions of the incompressib...
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained vi...
We consider solutions to the Cauchy problem for the incompressible Euler equations satisfying severa...
We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2...
We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2...
We consider solutions to the two-dimensional incompressible Euler system with only integrable vortic...
In these notes we discuss the conservation of the energy for weak solutions of the two-dimensional i...
In these notes we discuss the conservation of the energy for weak solutions of the twodimensional in...
In this paper we prove the uniform-in-time Lp convergence in the inviscid limit of a family ων of so...
37pIn this article we examine the interaction of incompressible 2D flows with compact material bound...
In this paper, we study the convergence of solutions of the $\alpha$-Euler equations to solutions of...
We consider energy conservation in a two-dimensional incompressible and inviscid flow through weak s...
We examine the two-dimensional Euler equations including the local energy (in)equality as a differen...
In this paper we prove the uniform-in-time $L^p$ convergence in the inviscid limit of a family $\ome...
In the first part of this paper we establish a uniqueness result for continuity equations with veloc...
We study whether some of the non-physical properties observed for weak solutions of the incompressib...
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained vi...
We consider solutions to the Cauchy problem for the incompressible Euler equations satisfying severa...
We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2...
We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2...
We consider solutions to the two-dimensional incompressible Euler system with only integrable vortic...
In these notes we discuss the conservation of the energy for weak solutions of the two-dimensional i...
In these notes we discuss the conservation of the energy for weak solutions of the twodimensional in...
In this paper we prove the uniform-in-time Lp convergence in the inviscid limit of a family ων of so...
37pIn this article we examine the interaction of incompressible 2D flows with compact material bound...
In this paper, we study the convergence of solutions of the $\alpha$-Euler equations to solutions of...
We consider energy conservation in a two-dimensional incompressible and inviscid flow through weak s...
We examine the two-dimensional Euler equations including the local energy (in)equality as a differen...
In this paper we prove the uniform-in-time $L^p$ convergence in the inviscid limit of a family $\ome...
In the first part of this paper we establish a uniqueness result for continuity equations with veloc...
We study whether some of the non-physical properties observed for weak solutions of the incompressib...
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained vi...
We consider solutions to the Cauchy problem for the incompressible Euler equations satisfying severa...