18 citations · 41 across the 4 of their papers we have counts for
7 papers
On the trend to global equilibrium for Kuramoto Oscillators
Javier Morales, David Poyato
In this paper, we study the convergence to the stable equilibrium for Kuramoto oscillators. Specifically, we derive estimates on the rate of convergence to the global equilibrium f…
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…
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…
Emergence of phase concentration for the Kuramoto-Sakaguchi equation
Seung-Yeal Ha, Young-Heon Kim, Javier Morales +1
We study the asymptotic phase concentration phenomena for the Kuramoto-Sakaguchi(K-S) equation in a large coupling strength regime. For this, we analyze the detailed dynamics of th…
Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane
Moon-Jin Kang, Javier Morales
We consider a spatially homogeneous Kolmogorov-Vicsek model in two dimensions, which describes the alignment dynamics of self-driven stochastic particles that move on the plane at…
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…
Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow
Alessio Figalli, Moon-Jin Kang, Javier Morales
We consider the so-called spatially homogenous Kolmogorov-Vicsek model, a non-linear Fokker-Planck equation of self-driven stochastic particles with orientation interaction under t…