5 papers
Static and Dynamical, Fractional Uncertainty Principles
Sandeep Kumar, Felipe Ponce-Vanegas, Luis Vega
We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principl…
Safe trajectory of a piece moved by a robot
Ernest Benedito, Oliver Bond, Thomas Babb +3
In this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of…
On the Schrödinger map for regular helical polygons in the hyperbolic space
Sandeep Kumar
The main purpose is to describe the evolution of $\Xt = \Xs \wedge_- \Xss,$ with $\X(s,0)$ a regular polygonal curve with a nonzero torsion in the 3-dimensional hyperbolic space. U…
Vortex Filament Equation for a regular polygon in the hyperbolic plane
Francisco de la Hoz, Sandeep Kumar, Luis Vega
The aim of this article is twofold. First, we show the evolution of the vortex filament equation (VFE) for a regular planar polygon in the hyperbolic space. Unlike in the Euclidean…
On the Evolution of the Vortex Filament Equation for regular -polygons with nonzero torsion
Francisco de la Hoz, Sandeep Kumar, Luis Vega
In this paper, we consider the evolution of the Vortex Filament equation (VFE): \begin{equation*} \mathbf X_t = \mathbf Xs \wedge \mathbf Xss, \end{equation*} taking -sided regu…