Synchronic and Asynchronic Descriptions of Irrigation Problems
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Publication:2866672
DOI10.1515/ans-2013-0303zbMath1290.49094OpenAlexW2507948896MaRDI QIDQ2866672
Sergio Solimini, Francesco Maddalena
Publication date: 13 December 2013
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2013-0303
Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Fractals (28A80)
Related Items (16)
Equivalent formulations for the branched transport and urban planning problems ⋮ Some remarks on the fractal structure of irrigation balls ⋮ Formulation of branched transport as geometry optimization ⋮ Some remarks on profile decomposition theorems ⋮ General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary ⋮ Optimal Shapes for Tree Roots ⋮ Multiscale weak compactness in metric spaces ⋮ On the Hölder regularity of the landscape function ⋮ Fractal regularity results on optimal irrigation patterns ⋮ On the optimal shape of tree roots and branches ⋮ Variational problems for tree roots and branches ⋮ An optimal irrigation network with infinitely many branching points ⋮ Irrigable measures for weighted irrigation plans ⋮ Approximation of rectifiable 1-currents and weak-\(\ast\) relaxation of the \(h\)-mass ⋮ Stability of optimal traffic plans in the irrigation problem ⋮ Optimal micropatterns in transport networks
Cites Work
- Path functionals over Wasserstein spaces
- The geometry of optimal transportation
- A model for the quasi-static growth of brittle fractures: Existence and approximation results
- Optimal channel networks, landscape function and branched transport
- Blow-up techniques and regularity near the boundary for free discontinuity problems
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