Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Garza, David"'
In this paper, we look at the nonlinear bending theory for thin prestrained elastic sheets with an oscillating periodic structure. We show that all limiting (in the sense of $\Gamma-$convergence) energy functionals which formally correspond to an inf
Externí odkaz:
http://arxiv.org/abs/2410.15679
Liquid crystal elastomers (LCEs) marry the large deformation response of a cross-linked polymer network with the nematic order of liquid crystals pendent to the network. Of particular interest is the actuation of LCE sheets where the nematic order, m
Externí odkaz:
http://arxiv.org/abs/2410.00333
We consider the Gibbs measure of a general interacting particle system for a certain class of ``weakly interacting" kernels. In particular, we show that the local point process converges to a Poisson point process as long as the inverse temperature $
Externí odkaz:
http://arxiv.org/abs/2405.02625
Autor:
Padilla-Garza, David
This paper studies the Gibbs measure of an interacting particle system with a general interaction kernel at various temperature regimes. We are particularly interested in fine features of the convergence to the mean-field density as the number of par
Externí odkaz:
http://arxiv.org/abs/2309.00961
This paper explores the connection between a generalized Riesz electric energy and norms on the set of probability measures defined in terms of duality. We derive functional inequalities linking these two notions, recovering and generalizing existing
Externí odkaz:
http://arxiv.org/abs/2209.00587
Autor:
Padilla-Garza, David
This paper deals with rare events in a general {interacting gas} at high temperature, by means of Large Deviations Principles. The main result is an LDP for the tagged empirical field, which features the competition of an energy term and an entropy t
Externí odkaz:
http://arxiv.org/abs/2208.01516
The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a property that makes such objects relevant for the fabrication of active a
Externí odkaz:
http://arxiv.org/abs/2203.11098
In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat reference configu
Externí odkaz:
http://arxiv.org/abs/2203.04010
Autor:
Lantoine, Gregory, Cox, Andrew, Sweetser, Theodore, Grebow, Dan, Whiffen, Gregory, Garza, David, Petropoulos, Anastassios, Oguri, Kenshiro, Kangas, Julie, Kruizinga, Gerhard, Castillo-Rogez, Julie
Publikováno v:
In Acta Astronautica December 2024 225:77-98
This paper presents a range of results in partial differential equations (PDEs) in which Voronoi patterns arise. We investigate the connection between the solution to an elliptic equation and its probabilistic interpretation as a stochastic colonizat
Externí odkaz:
http://arxiv.org/abs/2111.04999