An elementary approach based on variational inequalities for modeling a friction-based locomotion problem

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https://doi.org/10.1016/j.aml.2024.109305

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2025

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Elsevier
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https://hdl.handle.net/20.500.14352/119345

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Chen, P., Mateos González, Á., & Mertz, L. (2025). An elementary approach based on variational inequalities for modeling a friction-based locomotion problem. Applied Mathematics Letters, 160. https://doi.org/10.1016/J.AML.2024.109305

Abstract

We propose an elementary proof based on a penalization technique to show the existence and uniqueness of the solution to a system of variational inequalities modeling the friction-based motion of a two-body crawling system. Here for each body, the static and dynamic friction coefficients are equal.

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L.M. is thankful for support through NSFC Grant No. 12271364 and GRF Grant No. 11302823. We thank the anonymous referee for important feedback.

UCM subjects

Matemáticas (Matemáticas), Funciones (Matemáticas), Biomatemáticas

Unesco subjects

12 Matemáticas, 1202.04 Cálculo de Variaciones, 2404 Biomatemáticas, 2205.05 Fricción

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