Mathematical modeling of wildfire propagation in an agricultural land
DOI:
https://doi.org/10.5540/03.2021.008.01.0431Keywords:
Randers metric, Huygens’ Principie, Wavefront, Causal structure, Analogue gravity.Abstract
Every year, the wildfires cause significantly financial damages to the agricultural sector and farmers. Therefore, presenting reliable models which quickly predict the behavior of fire is of great importance to manage and control the progress of wildfire in time. In the present work, by using Randers metric and Huygens’ principie, we provide a model for the propagation of wildfire in some agricultural land in the dimension 3, while some wind is blowing across the space. Some example is provided to illustrate the results.
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