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With the increased size and frequency of wildfire eventsworldwide, accurate real-time prediction of evolving wildfirefronts is a crucial component of firefighting efforts and for-est management practices. We propose a wildfire…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Maxfield E. Green , Karl Kaiser , Nat Shenton

Increasing wildfire occurrence has spurred growing interest in wildfire spread prediction. However, even the most complex wildfire models diverge from observed progression during multi-day simulations, motivating need for data assimilation.…

Urban areas are increasingly vulnerable to thermal extremes driven by rapid urbanization and climate change. Traditionally, thermal extremes have been monitored using Earth-observing satellites and numerical modeling frameworks. For…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Baris Sarper Tezcan , Hrishikesh Viswanath , Rubab Saher , Daniel Aliaga

Wildfires cause major losses worldwide, and the frequency of fire-weather conditions is likely to increase in many regions. We study the allocation of suppression resources over time on a graph-based representation of a landscape to slow…

Computational Engineering, Finance, and Science · Computer Science 2026-04-01 Gustavo Delazeri , Marcus Ritt

Based on complex network theory, we propose a computational methodology that addresses the spatial distribution of fuel breaks for the inhibition of the spread and size of wildland fires on heterogeneous landscapes. This is a two-tire…

Cellular Automata and Lattice Gases · Physics 2017-02-08 Lucia Russo , Paola Russo , Constantinos I. Siettos

This paper presents a mathematical approach to model the effects of phenomena with random nature such as turbulence and fire-spotting into the existing wildfire simulators. The formulation proposes that the propagation of the fire-front is…

Atmospheric and Oceanic Physics · Physics 2016-04-08 Inderpreet Kaur , Andrea Mentrelli , Frédéric Bosseur , Jean-Baptiste Filippi , Gianni Pagnini

A new algorithm is proposed to describe the propagation of fronts advected in the normal direction with prescribed speed function F. The assumptions on F are that it does not depend on the front itself, but can depend on space and time.…

Numerical Analysis · Mathematics 2015-05-28 Alexandra Tcheng , Jean-Christophe Nave

This article investigates a mathematical model for bushfire propagation, focusing on the existence and properties of translating solutions. We obtain quantitative bounds on the environmental diffusion coefficient and ignition kernels,…

Analysis of PDEs · Mathematics 2025-05-01 Serena Dipierro , Enrico Valdinoci , Glen Wheeler , Valentina-Mira Wheeler

In the last decade, wildfires have become wider and more destructive. The climate change and the growth of urban areas may further increase the probability of incidence of large-scale fires. The risk of fire can be lowered with preventive…

Combinatorics · Mathematics 2021-03-19 Marc Demange , Alessia Di Fonso , Gabriele Di Stefano , Pierpaolo Vittorini

Machine learning (ML)-based wildfire detection methods have been developed in recent years, primarily using deep learning (DL) models trained on large collections of wildfire images and videos. However, peatland fires exhibit distinct…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Emadeldeen Hamdan , Ahmad Faiz Tharima , Mohd Zahirasri Mohd Tohir , Dayang Nur Sakinah Musa , Erdem Koyuncu , Adam J. Watts , Ahmet Enis Cetin

A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled partial differential equations have coefficients that can be…

In this paper we formulate and analyze an elementary model for the propagation of advancing autoignition fronts in reactive co-flow fuel/oxidizer jets injected into an aqueous environment at high pressure. This work is motivated by the…

Fluid Dynamics · Physics 2024-02-27 Amanda Matson , Michael C. Hicks , Uday G. Hegde , Peter V. Gordon

The level set method is a widely used tool for solving reachability and invariance problems. However, some shortcomings, such as the difficulties of handling dissipation function and constructing terminal conditions for solving the…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Wei Liao , Taotao Liang , Xiaohui Wei , Jizhou Lai

Global optimization techniques are increasingly preferred over human-driven methods in the design of electromagnetic structures such as metasurfaces, and careful construction and parameterization of the physical structure is critical in…

Applied Physics · Physics 2023-07-18 Alex Saad-Falcon , Christopher Howard , Justin Romberg , Kenneth Allen

Forest fires pose a significant threat to the environment, human life, and property. Early detection and response are crucial to mitigating the impact of these disasters. However, traditional forest fire detection methods are often hindered…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Hari Prabhat Gupta , Rahul Mishra

Due to severe societal and environmental impacts, wildfire prediction using multi-modal sensing data has become a highly sought-after data-analytical tool by various stakeholders (such as state governments and power utility companies) to…

Applications · Statistics 2023-10-12 Chen Xu , Yao Xie , Daniel A. Zuniga Vazquez , Rui Yao , Feng Qiu

Wildfire forecasting problems usually rely on complex grid-based mathematical models, mostly involving Computational fluid dynamics(CFD) and Celluar Automata, but these methods have always been computationally expensive and difficult to…

Machine Learning · Computer Science 2023-08-21 Hansong Xiao

Wildfires pose a significant threat to ecosystems, wildlife, and human communities, leading to habitat destruction, pollutant emissions, and biodiversity loss. Accurate wildfire risk prediction is crucial for mitigating these impacts and…

Machine Learning · Computer Science 2025-06-17 Zhengsen Xu , Jonathan Li , Sibo Cheng , Xue Rui , Yu Zhao , Hongjie He , Haiyan Guan , Aryan Sharma , Matthew Erxleben , Ryan Chang , Linlin Xu

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behvaiour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

We propose a level-set approach to characterize the region occupied by the solid in Stefan problems with and without surface tension, based on their recent probabilistic reformulation. The level-set function is parameterized by a…

Numerical Analysis · Mathematics 2023-06-21 Mykhaylo Shkolnikov , H. Mete Soner , Valentin Tissot-Daguette