3 papers
math.AP2025
Fredholm properties of singular elliptic operators arising in the study of point defects
Gabriela Jaramillo
Motivated by the dynamics of defects in planar pattern-forming systems, we study Fredholm properties of elliptic operators with singular coefficients in weighted Sobolev spaces. In…
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…