A counterexample to analyticity in frictional dynamics

DOI10.1051/m2an/2022033zbMath1502.70037OpenAlexW4224084210WikidataQ125058876 ScholiaQ125058876MaRDI QIDQ5867512

Christopher R. Dance

Publication date: 14 September 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2022033

zbMATH Keywords

uniquenessunilateral dynamics with frictionfrictional dynamical contact problems

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Problems involving a system of particles with friction (70F40)

Cites Work

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• Divergent series, summability and resurgence II. Simple and multiple summability
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Uniqueness in the elastic bounce problem. II
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• New fixed point theorems for the sum of two mixed monotone operators of Meir-Keeler type and their applications to nonlinear elastic beam equations
• A class of nonlinear differential equations of second order in time
• Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
• Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points

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