The regularity of optimal irrigation patterns
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Publication:849236
DOI10.1007/s00205-008-0210-9zbMath1185.35300OpenAlexW2035651985MaRDI QIDQ849236
Jean-Michel Morel, Filippo Santambrogio
Publication date: 25 February 2010
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-008-0210-9
Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) PDEs in connection with geophysics (35Q86)
Related Items (14)
Equivalent formulations for the branched transport and urban planning problems ⋮ Some remarks on the fractal structure of irrigation balls ⋮ On landscape functions associated with transport paths ⋮ Optimal Shapes for Tree Roots ⋮ Generic uniqueness of optimal transportation networks ⋮ Improved stability of optimal traffic paths ⋮ Optimal micropatterns in 2D transport networks and their relation to image inpainting ⋮ Fractal regularity results on optimal irrigation patterns ⋮ Global dynamics and zero-diffusion limit of a parabolic-elliptic-parabolic system for ion transport networks ⋮ Variational problems for tree roots and branches ⋮ A 2-dimensional shape optimization problem for tree branches ⋮ An optimal irrigation network with infinitely many branching points ⋮ Stability for the mailing problem ⋮ A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents
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