3 papers
math.AP2024
Existence of Weak Solutions for a Nonlocal Klausmeier Model
Gabriela Jaramillo, Cristian Meraz
We establish the existence of weak solutions for a nonlocal Klausmeier model within a small time interval . The Klausmeier model is a coupled, nonlinear system of partial d…
math.AP2024
Existence of spiral waves in oscillatory media with nonlocal coupling
Gabriela Jaramillo
We prove existence of spiral waves in oscillatory media with nonlocal coupling. Our starting point is a nonlocal complex Ginzburg-Landau (cGL) equation, rigorously derived as an am…
math.CA2014
Pacemakers in large arrays of oscillators with nonlocal coupling
Arnd Scheel, Gabriela Jaramillo
We model pacemaker effects of an algebraically localized heterogeneity in a 1 dimensional array of oscillators with nonlocal coupling. We assume the oscillators obey simple phase d…