3 papers
math.NA2026
Solution of a system of Hamilton-Jacobi equations on a network
Emily R. Hammett, Maria Teresa Chiri, Kenneth D. Czuprynski +1
We extend the study of Hamilton-Jacobi equations on networks from a single equation to a weakly coupled system of two equations on a star graph, and we develop a numerical scheme f…
gr-qc2026
Minimum lifetime of a black hole
Eugenio Bianchi, Matthew Brandsema, Kenneth Czuprynski +1
We derive bounds on the lifetime of an evaporating black hole. The bound follows from energy conservation and purification, within the framework of `asymptotically semiclassical sp…
math.OC2023
Weakly coupled systems of eikonal equations for autonomous vehicles
Maria Teresa Chiri, Kenneth D Czuprynski, Ludmil T Zikatanov
In this paper, we study solutions for a weakly coupled system of eikonal equations arising in an optimal path-planning problem with random breakdown. The model considered takes int…