Alberto Bressan, Qing Sun

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)611-651
Number of pages41
JournalCommunications in Mathematical Sciences
Issue number3
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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