A General Model for Wildfire Propagation with Wind and Slope

DOI10.1137/22m1477866arXiv2110.03364OpenAlexW3202782120MaRDI QIDQ6161561

Enrique Pendás-Recondo, Miguel Ángel Javaloyes, Miguel Sánchez

Publication date: 27 June 2023

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03364

zbMATH Keywords

Finsler metricsMatsumoto metricwildfire propagationnonelliptical fire growth

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of global differential geometry to the sciences (53C80) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (4)

An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ Applications of Randers geodesics for wildfire spread modelling

Cites Work

• A Finsler geodesic spray paradigm for wildfire spread modelling
• Traffic noise and the hyperbolic plane
• Introduction to Matsumoto metric
• Applications of cone structures to the anisotropic rheonomic Huygens' principle
• Applications of Randers geodesics for wildfire spread modelling
• On the definition and examples of cones and Finsler spacetimes
• Penrose’s singularity theorem in a Finsler spacetime
• An elliptical growth model of forest fire fronts and its numerical solution
• Riemannian metrics having common geodesics with Berwald metrics
• On the definition and examples of Finsler metrics
• Analogue gravity
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