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

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dc.contributor.authorChen, Panyu
dc.contributor.authorMateos González, Álvaro
dc.contributor.authorMertz, Laurent
dc.date.accessioned2025-04-08T08:24:55Z
dc.date.available2025-04-08T08:24:55Z
dc.date.issued2025-02
dc.descriptionL.M. is thankful for support through NSFC Grant No. 12271364 and GRF Grant No. 11302823. We thank the anonymous referee for important feedback.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Biodiversidad, Ecología y Evolución
dc.description.facultyFac. de Ciencias Biológicas
dc.description.refereedTRUE
dc.description.sponsorshipNational Nature Science Foundation (China)
dc.description.statuspub
dc.identifier.citationChen, 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
dc.identifier.doi10.1016/j.aml.2024.109305
dc.identifier.essn1873-5452
dc.identifier.issn0893-9659
dc.identifier.officialurlhttps://doi.org/10.1016/j.aml.2024.109305
dc.identifier.relatedurlhttps://www.sciencedirect.com/science/article/pii/S0893965924003252?via%3Dihub
dc.identifier.urihttps://hdl.handle.net/20.500.14352/119345
dc.issue.number109305
dc.journal.titleApplied Mathematics Letters
dc.language.isoeng
dc.page.final7
dc.page.initial1
dc.publisherElsevier
dc.rights.accessRightsrestricted access
dc.subject.cdu517.97
dc.subject.cdu51:57
dc.subject.cdu539.62
dc.subject.keywordVariational inequalities
dc.subject.keywordMoreau–Yosida regularization
dc.subject.keywordBiolocomotion
dc.subject.keywordDry friction
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmFunciones (Matemáticas)
dc.subject.ucmBiomatemáticas
dc.subject.unesco12 Matemáticas
dc.subject.unesco1202.04 Cálculo de Variaciones
dc.subject.unesco2404 Biomatemáticas
dc.subject.unesco2205.05 Fricción
dc.titleAn elementary approach based on variational inequalities for modeling a friction-based locomotion problem
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number160
dspace.entity.typePublication
relation.isAuthorOfPublication9973b339-e45a-4736-bc49-af31e8b26bda
relation.isAuthorOfPublication.latestForDiscovery9973b339-e45a-4736-bc49-af31e8b26bda

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