3 papers
math.AP2021
Infinite energy cavitating solutions: a variational approach
Pablo V. Negron-Marrero, Jeyabal Sivaloganathan
We study the phenomenon of cavitation for the displacement boundary value problem of radial, isotropic compressible elasticity for a class of stored energy functions of the form $W…
math.DS2020
Chaotic dynamics of a three particle array under Lennard--Jones type forces and a fixed area constraint
Pablo V. Negron-Marrero
We consider the dynamical problem for a system of three particles in which the inter-particle forces are given as the gradient of a Lennard-Jones type potential. Furthermore we ass…
math-ph2016
Minimal energy configurations of finite molecular arrays
Pablo V. Negrón-Marrero, Melissa López-Serrano
In this paper we consider the problem of characterizing the minimum energy configurations of a finite system of particles interacting between them due to attracting or repulsive fo…