From the 1 of 4 linked papers with an AI index.
4 papers
Cycle intersection form and oscillation of graph eigenfunctions
Gregory Berkolaiko, Jared C. Bronski, Mark Goresky
The paper relates the inertia of a weighted cycle‑intersection form, built from a non‑zero eigenvector of a graph‑supported symmetric matrix, to oscillation properties such as sign…
The Evans function as a lower bound on the spectral distance function
George Bayliss, Jared C. Bronski
The Evans function is an analytic function that encodes information about the intersection of certain subspaces in ODE boundary value problems. As such it is a useful tool for comp…
Asymptotic stability of sharp fronts: Analysis and rigorous computation
Blake Barker, Jared C. Bronski, Vera Mikyoung Hur +1
We investigate the stability of traveling front solutions to nonlinear diffusive-dispersive equations of Burgers type, with a primary focus on the Korteweg-de Vries-Burgers (KdVB)…
Bounds on unstable spectrum for dispersive Hamiltonian PDEs
Jared C Bronski, Ver Mikyoung Hur, Sarah E Simpson
We study quasi-periodic eigenvalue problems that arise in the stability analysis of periodic traveling wave solutions to Hamiltonian PDEs. We establish bounds on regions in the com…