6 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Positivity and long-term behaviour of a diffusion model with measure-valued nonlocal reaction term
Xiao Yang, Qiyao Peng, Sander C. Hille
The behaviour is investigated of solutions to a diffusion equation on the real line with nonlocal and singular reaction term, i.e., given by a Dirac source or sink at the origin. I…
Approximation of a compound-exchanging cell by a Dirac point
Xiao Yang, Qiyao Peng, Sander C. Hille
Communication between single cells or higher organisms by means of diffusive compounds is an important phenomenon in biological systems. Modelling therefore often occurs, most stra…
Studying wildfire fronts using advection-diffusion-reaction models
Koondanibha Mitra, Qiyao Peng, Cordula Reisch
In this work, we study the propagation of wildfires using an advection--diffusion--reaction model which also includes convective and radiative heat loss. An existing model is discu…