3 papers
math.AP2018
Flocking with short-range interactions
Javier Morales, Jan Peszek, Eitan Tadmor
We study the large-time behavior of continuum alignment dynamics based on Cucker-Smale (CS)-type interactions which involve short-range kernels, that is, communication kernels with…
math.DS2017
Emergent dynamics of the Kuramoto ensemble under the effect of inertia
Young-Pil Choi, Seung-Yeal Ha, Javier Morales
We study the emergent collective behaviors for an ensemble of identical Kuramoto oscillators under the effect of inertia. In the absence of inertial effects, it is well known that…
math.AP2016
A new family of transportation costs with applications to reaction-diffusion and parabolic equations with boundary conditions
Javier Morales
This paper introduces a family of transportation costs between non-negative measures. This family is used to obtain parabolic and reaction-diffusion equations with drift, subject t…