SEMINAR @ SISSSA, prof. Bressan, 14 March 07 at 2.00 p.m.

[Barbara Corzani]

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FUNCTIONAL ANALYSIS SECTOR'S ACTIVITIES
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SEMINAR 

Prof. Alberto Bressan
(PennState University)

Title:
"Differential Inclusions and the Control of Forest Fires"


Wed.   14 March  2007  @  02.00 p.m.

SISSA - Main Building - ground floor - room B

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ABSTRACT:
The talk will describe a new class of variational
problems for differential inclusions, motivated by the
control of forest fires.  The area burned by the fire at time $t>0$ is modelled as the reachable set for a differential inclusion $\dot x\in F(x)$, starting from an initial set $R_0$. To block the fire, a wall can be constructed progressively in time, at a given speed.

The talk will examine the possibility of constructing
a wall which completely encircles the fire. Moreover,
necessary conditions will be described, for an optimal strategy which minimizes the total area burned by the fire.