Brown Bag Seminar
Space-Periodic Behavior of Laminar Flames near the Extinction point
In this talk, I summarize a proof claiming that the asymptotic behavior of the free boundary of a laminar flame converges to a sphere near its extinction point. This is a two-part problem: we seek to identify the initial conditions that make the above statement true. This problem is motivated by the Stefan Problem which takes form of a Free Boundary Value Problem. We will discuss what the Stefan Problem is, state the Free BVP, describe the initial condition of the flame in detail and outline a constructive geometric proof of the movement of the boundary of the laminar flame in space time as the flame extinguishes.