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Type: Journal Article
Author(s): Michal Fečkan; Július Pačuta
Publication Date: 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.

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Citation: Fečkan, Michal; Pačuta, Július. 2018. Existence of solution of a forest fire spread model. Applied Mathematics Letters 83:227-231.

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  • fire spread model
  • Hamilton-Jacobi equations
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Record Maintained By: FRAMES Staff (
FRAMES Record Number: 26210