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Can I read The Minimum Speed for a Blocking Problem on the Half Plane on EtoBox?
The Minimum Speed for a Blocking Problem on the Half Plane by Alberto Bressan; Tao Wang is a Mathematics article available to read on EtoBox.
What is The Minimum Speed for a Blocking Problem on the Half Plane about?
We consider a blocking problem: fire propagates on a half plane with unit speed in all directions. To block it, a barrier can be constructed in real time, at speed σ . We prove that the fire can be entirely blocked by the wall, in finite time, if and only if σ > 1. The proof relies on a geometric lemma of independent interest. Namely, let K ⊂ R 2 be a compact, simply connected set with smooth boundary. We define d K (x, y) as the minimum length among all paths connecting x with y and remaining inside K . Then d K attains its maximum at a pair of points (x, ȳ) both on the boundary of K .
Who reads The Minimum Speed for a Blocking Problem on the Half Plane?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Alberto Bressan; Tao Wang
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)