Soil Searching by an Artificial Root

DOI10.1137/20M1338678MaRDI QIDQ5097466

Alberto Bressan, Maria Teresa Chiri, Fabio Ancona

Publication date: 24 August 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06069

zbMATH Keywords

integro-differential equationsoptimality conditionsevolution equationsone-sided constraintsbiological inspirationplant-inspiredrobot

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinematics of mechanisms and robots (70B15) Plant biology (92C80) PDEs in connection with mechanics of particles and systems of particles (35Q70) Integro-partial differential equations (35R09) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

• Unnamed Item
• The mathematics and mechanics of biological growth
• Growth models for tree stems and vines
• An introduction to \(\Gamma\)-convergence
• Well-posedness of a model for the growth of tree stems and vines
• Existence results for energetic models for rate-independent systems
• Feedback stabilization of stem growth
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials

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