Name
Abstract | ||
|---|---|---|
Let Omega subset of R(n) be a bounded domain, and for x is an element of Omega let tau(x) be the expected exit time from Omega of a diffusing particle starting at x and advected by an incompressible flow u. We are interested in the question which flows maximize parallel to tau parallel to(L infinity(Omega)), that is, they are most efficient in the creation of hotspots inside Omega. Surprisingly, among all simply connected domains in two dimensions, the discs are the only ones for which the zero flow u 0 maximizes parallel to tau parallel to L((Omega))(infinity). We also show that in any dimension, among all domains with a fixed volume and all incompressible flows on them, parallel to tau parallel to(L infinity(Omega)) is maximized by the zero flow on the ball. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1137/090776895 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
convection-diffusion equation,expected exit time | Compressibility,Simply connected space,Mathematical physics,Mathematical analysis,Omega,Incompressible flow,Classical mechanics,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
42 | 6 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gautam Iyer | 1 | 1 | 2.04 |
| Alexei Novikov | 2 | 16 | 6.94 |
| Lenya Ryzhik | 3 | 4 | 3.06 |
| Andrej Zlatos | 4 | 0 | 1.35 |