Studying wildfire fronts using advection-diffusion-reaction models
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 …
model which also includes convective and radiative heat loss. An existing model is …
Robust and structure-preserving time-discretisation and linearisation schemes for singular and degenerate evolution systems arising in models for biofilm growth
We propose and analyse numerical schemes for a system of quasilinear, degenerate
evolution equations modelling biofilm growth as well as other processes such as flow …
evolution equations modelling biofilm growth as well as other processes such as flow …
Existence-Uniqueness Theory and Small-Data Decay for a Reaction-Diffusion Model of Wildfire Spread
AG Morgan - arXiv preprint arXiv:2406.00575, 2024 - arxiv.org
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 …
used to model the propagation of a wildfire. I establish global-in-time existence and …