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Existence of solution of a forest fire spread model

Author(s): Michal Fečkan, Július Pačuta
Year Published: 2018

We consider a wildfire spread model represented by the system (1). We use results from the theory of Hamilton-Jacobi equations to prove that there exists a classical solution of (1) for any (ϕ,t)∈R×(0,T)(ϕ,t)∈R×(0,T) and some T>0T>0 and satisfies particular initial conditions. We also use the method of characteristics to obtain the solution of (1) in a certain form.

Citation: Fečkan, Michal; Pačuta, Július. 2018. Existence of solution of a forest fire spread model. Applied Mathematics Letters 83:227-231.
Topic(s): Fire Behavior, Simulation Modeling
Ecosystem(s): None
Document Type: Book or Chapter or Journal Article
NRFSN number: 17872
FRAMES RCS number: 26210
Record updated: Jul 10, 2018