5 papers · 1 filter
Generalized Fermat's principle and Snell's law for cone structures and applications
Miguel Ãngel Javaloyes, Steen Markvorsen, Enrique Pendás-Recondo +1
Fermat's principle is fully generalized to the case where a smooth interface separates two cone structures -- Lorentz-Finsler lightcones -- representing wave propagation in a poten…
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of singular Finsler metric arising both in the description of the lightlike vecto…
Causal ladder of Finsler spacetimes with a cone Killing vector field
Erasmo Caponio, Miguel Angel javaloyes
The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field tha…
A general model for wildfire propagation with wind and slope
Miguel Ãngel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez
A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the gr…
Gielis superformula and wildfire models
Miguel Ãngel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez
Experimental data on the propagation of wildfires show that its short-time spread has a double semi-elliptical shape. Our main goal is to show that this shape can be accurately app…