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

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Article number109305
Journal / PublicationApplied Mathematics Letters
Volume160
Online published7 Sept 2024
Publication statusOnline published - 7 Sept 2024

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85203635499&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(cdb0b9ad-42ac-412d-882f-88563e72034b).html

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. © 2024 Elsevier Ltd.

Research Area(s)

  • Biolocomotion, Dry friction, Moreau–Yosida regularization, Variational inequalities

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Publication fingerprints text

100
Friction Engineering
100
Mathematical Model Engineering
100
Solution Existence Keyphrases
100
Solution Uniqueness Keyphrases
100
Elementary Proof Keyphrases
100
Variational Inequal... Keyphrases
100
Crawling Keyphrases
100
Two-body Keyphrases
100
Static Friction Coe... Keyphrases
100
Penalization Method Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
An elementary approach based on variational inequalities for modeling a friction-based locomotion problem. / Chen, Panyu; Mateos González, Álvaro; Mertz, Laurent.
In: Applied Mathematics Letters, Vol. 160, 109305, 02.2025.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review