Elementary properties of optimal irrigation patterns. (English) Zbl 1111.35093
This is a preliminary study with the aim of giving some basic tools and identify elementary properties enjoyed by the optimal irrigation patterns which are solutions to a variational problem with Dirichlet boundary conditions. As application the irrigability of a given measure is indicated.
Reviewer: Claudia Simionescu-Badea (Wien)
MSC:
| 35Q80 | Applications of PDE in areas other than physics (MSC2000) |
| 35A15 | Variational methods applied to PDEs |
| 92C80 | Plant biology |
Citations:
Zbl 1057.35076References:
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