AbstractWe exhibit a time reversible geometric flow of planar curves which can develop singularities in finite time within the uniform topology. The example is based on the construction of selfsimilar solutions of modified Korteweg–de Vries equation of a given (small) mean
The question of finite-time blowup of the 3D incompressible Euler equations is numerically investiga...
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$ X_t =...
PhD ThesesThis work considers problems pertaining to the regularity theory and the analysis of sing...
AbstractWe exhibit a time reversible geometric flow of planar curves which can develop singularities...
In this note we study the initial value problem in a critical space for the one dimensional Schr¨odi...
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we p...
En [2] G. Perelman, L. Vega, Self-similar planar curves related to modified Korteweg-de Vries equati...
We study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data ...
AbstractWe propose a time discretization of the Navier–Stokes equations inspired by the theory of gr...
The aim of this paper is twofold. First, we show the evolution of the vortex filament equation (VFE)...
Much of geometric analysis can be described as the study of (hyper)surfaces changing shape subject t...
We present a collection of results on the evolution by curvature of networks of planar curves. We di...
The aim of this article is twofold. First, we show the evolution of the vortex filament equation (VF...
We prove the existence of the flow by curvature of regular planar networks starting from an initial...
International audienceWe exhibit a time reversible geometric flow of planar curves which can develop...
The question of finite-time blowup of the 3D incompressible Euler equations is numerically investiga...
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$ X_t =...
PhD ThesesThis work considers problems pertaining to the regularity theory and the analysis of sing...
AbstractWe exhibit a time reversible geometric flow of planar curves which can develop singularities...
In this note we study the initial value problem in a critical space for the one dimensional Schr¨odi...
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we p...
En [2] G. Perelman, L. Vega, Self-similar planar curves related to modified Korteweg-de Vries equati...
We study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data ...
AbstractWe propose a time discretization of the Navier–Stokes equations inspired by the theory of gr...
The aim of this paper is twofold. First, we show the evolution of the vortex filament equation (VFE)...
Much of geometric analysis can be described as the study of (hyper)surfaces changing shape subject t...
We present a collection of results on the evolution by curvature of networks of planar curves. We di...
The aim of this article is twofold. First, we show the evolution of the vortex filament equation (VF...
We prove the existence of the flow by curvature of regular planar networks starting from an initial...
International audienceWe exhibit a time reversible geometric flow of planar curves which can develop...
The question of finite-time blowup of the 3D incompressible Euler equations is numerically investiga...
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$ X_t =...
PhD ThesesThis work considers problems pertaining to the regularity theory and the analysis of sing...
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