Add to ORKGInternational audienceIn this article, we show how to embed the so-called CH2 equations into the geodesic flow of the Hdiv metric in 2D, which, itself, can be embedded in the incompressible Euler equation of a non compact Riemannian manifold. The method consists in embedding the incompressible Euler equation with a potential term coming from classical mechanics into incompressible Euler of a manifold and seeing the CH2 equation as a particular case of such fluid dynamic equation
The Euler equations for a non-homogeneous, non-viscous compressible fluid are shown to be well-posed...
In this note we survey some recent results for the Euler equations in compressible and incompressibl...
We give a vorticity-dynamical proof of $C^1\cap H^2$-illposedness of the 2D Euler equations. Our con...
In this thesis we prove that the homogeneous incompressible Euler equation of hydrodynamics on the S...
This article is a survey concerning the state-of-the-art mathematical theory of the Euler equations ...
International audienceWe study the geodesic problem on the group of diffeomorphism of a domain M⊂Rd,...
International audienceThe group of diffeomorphisms of a compact manifold endowed with the L^2 metric...
International audienceThe group of diffeomorphisms of a compact manifold endowed with the L^2 metric...
In 1966, Arnold showed that the Euler equation for an ideal fluid can arise as the geodesic flow on ...
In 1966, Arnold showed that the Euler equation for an ideal fluid can arise as the geodesic flow on ...
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equat...
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equat...
AbstractIn this paper we study generalized solutions (in the Brenier's sense) for the Euler equation...
This thesis is concerned with the well-posedness, dynamical properties and numerical treatment of t...
AbstractThe Camassa–Holm equation can be viewed as the geodesic equation on some diffeomorphism grou...
The Euler equations for a non-homogeneous, non-viscous compressible fluid are shown to be well-posed...
In this note we survey some recent results for the Euler equations in compressible and incompressibl...
We give a vorticity-dynamical proof of $C^1\cap H^2$-illposedness of the 2D Euler equations. Our con...
In this thesis we prove that the homogeneous incompressible Euler equation of hydrodynamics on the S...
This article is a survey concerning the state-of-the-art mathematical theory of the Euler equations ...
International audienceWe study the geodesic problem on the group of diffeomorphism of a domain M⊂Rd,...
International audienceThe group of diffeomorphisms of a compact manifold endowed with the L^2 metric...
International audienceThe group of diffeomorphisms of a compact manifold endowed with the L^2 metric...
In 1966, Arnold showed that the Euler equation for an ideal fluid can arise as the geodesic flow on ...
In 1966, Arnold showed that the Euler equation for an ideal fluid can arise as the geodesic flow on ...
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equat...
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equat...
AbstractIn this paper we study generalized solutions (in the Brenier's sense) for the Euler equation...
This thesis is concerned with the well-posedness, dynamical properties and numerical treatment of t...
AbstractThe Camassa–Holm equation can be viewed as the geodesic equation on some diffeomorphism grou...
The Euler equations for a non-homogeneous, non-viscous compressible fluid are shown to be well-posed...
In this note we survey some recent results for the Euler equations in compressible and incompressibl...
We give a vorticity-dynamical proof of $C^1\cap H^2$-illposedness of the 2D Euler equations. Our con...