Applications of Randers geodesics for wildfire spread modelling

DOI10.1016/j.apm.2022.01.021zbMath1503.53046OpenAlexW4210535425WikidataQ117812148 ScholiaQ117812148MaRDI QIDQ2109430

Hengameh R. Dehkordi

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.01.021

zbMATH Keywords

Huygens' principleKilling vector fieldwavefrontRanders metricfire propagationstrategic paths

Mathematics Subject Classification ID

Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Existence theories for free problems in one independent variable (49J05) Applications of differential geometry to biology (53Z10)

Related Items (5)

On the Wildfire Propagation in Flat Lands ⋮ 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 ⋮ Unnamed Item

Uses Software

• Prometheus

Cites Work

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• A Finsler geodesic spray paradigm for wildfire spread modelling
• Finsler geometry for nonlinear path of fluids flow through inhomogeneous media
• Zermelo navigation on Riemannian manifolds
• Applications of cone structures to the anisotropic rheonomic Huygens' principle
• Application of planar Randers geodesics with river-type perturbation in search models
• Differential inclusions and the control of forest fires
• Geodesics in Randers spaces of constant curvature
• Modelling the spread of grass fires
• Introduction to Riemannian Manifolds
• Huygens’ envelope principle in Finsler spaces and analogue gravity
• Genericity of nondegeneracy for light rays in stationary spacetimes
• A General Model for Wildfire Propagation with Wind and Slope

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