Applications of cone structures to the anisotropic rheonomic Huygens' principle

DOI10.1016/j.na.2021.112337zbMath1466.35004arXiv2010.11990OpenAlexW3094544087MaRDI QIDQ2033033

Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez

Publication date: 14 June 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11990

zbMATH Keywords

Huygens' principleanisotropic mediumwavefrontZermelo's navigation problemanalogue gravityLorentz-Finsler metrics and spacetimesrheonomic Lagrangianwildfire propagation

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Wave front sets in context of PDEs (35A18)

Related Items (7)

An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ Snell’s law revisited and generalized via Finsler geometry ⋮ A General Model for Wildfire Propagation with Wind and Slope ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples ⋮ Boundary rigidity for Randers metrics ⋮ Lightlike hypersurfaces and time-minimizing geodesics in cone structures ⋮ Applications of Randers geodesics for wildfire spread modelling

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