Skip to main content
Author(s):
Michal Fečkan, Július Pačuta
Year Published:

Cataloging Information

Topic(s):
Fire Behavior
Simulation Modeling

NRFSN number: 17872
FRAMES RCS number: 26210
Record updated:

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.

Access this Document

online link

Treesearch

publication access with no paywall

Check to see if this document is available for free in the USDA Forest Service Treesearch collection of publications. The collection includes peer reviewed publications in scientific journals, books, conference proceedings, and reports produced by Forest Service employees, as well as science synthesis publications and other products from Forest Service Research Stations.
Search for this document on Treesearch