Weighted irrigation plans
We model an irrigation network where lower branches must be thicker in order to support the weight of the higher ones. This leads to a countable family of ODEs, one for each branch, that must be solved by backward induction. Having introduced conditions that guarantee the existence and uniqueness of solutions, our main result establishes the lower semicontinuity of the corresponding cost functional, w.r.t. pointwise convergence of the irrigation plans. In turn, this yields the existence of an optimal irrigation plan, in the presence of these additional weights.
Files
-
Metadata
Work Title Weighted irrigation plans Access Creators - Alberto Bressan
- Qing Sun
Keyword - Ramified transport
- Irrigation plan
- Impulsive differential equations on networks
License In Copyright (Rights Reserved) Work Type Article Publisher - Communications in Mathematical Sciences
Publication Date March 21, 2022 Publisher Identifier (DOI) - https://doi.org/10.4310/CMS.2022.v20.n3.a2
Deposited July 19, 2022 Versions
Analytics
Collections
This resource is currently not in any collection.
Work History
Version 1
published-
Created
-
Added
ramif-struct_A.pdf -
Added Creator Alberto Bressan
-
Added Creator Qing Sun
-
Published
-
Updated Work Title, Keyword, Publication Date Show ChangesWork TitleKeyword
WEIGHTED IRRIGATION PLANS*- Weighted irrigation plans
Publication Date- Ramified transport, Irrigation plan, Impulsive differential equations on networks
2022-01-01- 2022-03-21
-
Updated