Geodesic
Methods of forest fires computer modelling
Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 3-14

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Adapted by authors mathematical model of ground forest fire propagation is considered. Questions of mathematical correctness of accepted boundary value problem are examined. The rationale of authors' generalization of classical semi-empirical Rothermel's model is also provided. Numerical experiment results analysis, in particular, dependence of fire rate of spread from some of the problem's parameters are discussed. 
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D. V. Barovik; V. I. Korzyuk; V. B. Taranchuk. Methods of forest fires computer modelling. Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a0/