A variational model of irrigation patterns (Q1425684)
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scientific article; zbMATH DE number 2060119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational model of irrigation patterns |
scientific article; zbMATH DE number 2060119 |
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A variational model of irrigation patterns (English)
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17 March 2004
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This paper gives a general formalism for irrigation patterns. Related to martingale theory the technique allows to define irrigation trees and their vessels to give a generic form to their energy and to show compactness for the irrigation patterns with bounded energy as well as a lower semicontinuity result for the cost functional. A consequence is that volume irrigation problems with a variety of source are well-posed. Minimization problems are also set.
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irrigation patterns
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minimization problems
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drainage networks
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energy dissipation
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