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An elementary approach based on variational inequalities for modelling a friction-based locomotion problem
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math.CA
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elementaryfriction-basedinequalitiesmodellingsystemvariationalapproachbody
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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 modelling 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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