2 papers
math.AP2026
Recent Analytical and Computational Developments on the Advection-Diffusion-Reaction Wildfire Model
Luca Nieding, A. George Morgan, Adrian Navas +6
Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematic…
math.AP2024
Existence-Uniqueness Theory and Small-Data Decay for a Reaction-Diffusion Model of Wildfire Spread
A. George Morgan
I examine some analytical properties of a nonlinear reaction-diffusion system that has been used to model the propagation of a wildfire. I establish global-in-time existence and un…