AbstractIn this note, we study the structural classification and structural stability of divergence-free vector fields on compact manifolds M ⊂ S2 (or M ⊂ P2, or M ⊂ K2) with or without boundary. The main motivation is to understand the topological and geometrical structure of the Lagrange dynamics of incompressible fluid flows
International audienceThis paper investigates the well posedness of ordinary differential equations ...
In this work we describe the qualitative behavior of generic discontinuous vector fields around a po...
To appear in Archive for Rational and Mechanical AnalysisLet~$X$ be a suitable function space and le...
AbstractIn this note, we study the structural classification and structural stability of divergence-...
We classify in this article the structure and its transitions/evolution of the Taylor vortices wit...
Abstract. This article studies the structure and its evolution of incompressible flows with the anti...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
In this study, topological features of an incompressible two-dimensional flow far from any boundarie...
We study the C 2-structural stability conjecture from Mañé's viewpoint for geodesics flows of compac...
The structural bifurcation of a 2D divergence free vector field u(., t) when u(., t(0)) has an inter...
We consider the regular Lagrangian flow X associated to a bounded divergence-free vector field b wit...
We prove that torsion-free G_2 structures are (weakly) dynamically stable along the Laplacian flow f...
We investigate under which assumptions the flow associated to autonomous planar vector fields inheri...
We study dynamical and topological properties of the unstable manifold of isolated invariant compact...
We study the propagation of singularities in solutions of the Navier-Stokes equations of compressibl...
International audienceThis paper investigates the well posedness of ordinary differential equations ...
In this work we describe the qualitative behavior of generic discontinuous vector fields around a po...
To appear in Archive for Rational and Mechanical AnalysisLet~$X$ be a suitable function space and le...
AbstractIn this note, we study the structural classification and structural stability of divergence-...
We classify in this article the structure and its transitions/evolution of the Taylor vortices wit...
Abstract. This article studies the structure and its evolution of incompressible flows with the anti...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
In this study, topological features of an incompressible two-dimensional flow far from any boundarie...
We study the C 2-structural stability conjecture from Mañé's viewpoint for geodesics flows of compac...
The structural bifurcation of a 2D divergence free vector field u(., t) when u(., t(0)) has an inter...
We consider the regular Lagrangian flow X associated to a bounded divergence-free vector field b wit...
We prove that torsion-free G_2 structures are (weakly) dynamically stable along the Laplacian flow f...
We investigate under which assumptions the flow associated to autonomous planar vector fields inheri...
We study dynamical and topological properties of the unstable manifold of isolated invariant compact...
We study the propagation of singularities in solutions of the Navier-Stokes equations of compressibl...
International audienceThis paper investigates the well posedness of ordinary differential equations ...
In this work we describe the qualitative behavior of generic discontinuous vector fields around a po...
To appear in Archive for Rational and Mechanical AnalysisLet~$X$ be a suitable function space and le...
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