Publication: Existence of optimal strategies for a fire confinement problem
Existence of optimal strategies for a fire confinement problem
Date
Date
Date
Citations
Bressan, A., & De Lellis, C. (2009). Existence of optimal strategies for a fire confinement problem. Communications on Pure and Applied Mathematics, 62(6), 789–830. https://doi.org/10.1002/cpa.20271
Abstract
Abstract
Abstract
We consider a class of variational problems for differential inclusions related to the control of forest fires. The area burned by the fire at time t > 0 is modeled as the reachable set for a differential inclusion F(x) starting from an initial set R0. To block the fire, a barrier can be constructed progressively in time at a given speed. In this paper we prove the existence of an optimal strategy, which minimizes the value of the area destroyed by the fire plus the cost of constructing the barrier.
Metrics
Views
Additional indexing
Creators (Authors)
- Bressan, A
- De Lellis, C
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Keywords
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Publisher DOI
Metrics
Views
Citations
Bressan, A., & De Lellis, C. (2009). Existence of optimal strategies for a fire confinement problem. Communications on Pure and Applied Mathematics, 62(6), 789–830. https://doi.org/10.1002/cpa.20271
