基于变分不等式的基本方法，为基于摩擦力的运动问题建模

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-07 DOI:10.1016/j.aml.2024.109305

Panyu Chen , Álvaro Mateos González , Laurent Mertz

引用次数: 0

摘要

我们提出了一个基于惩罚技术的基本证明，以说明模拟双体爬行系统摩擦运动的变分不等式系统解的存在性和唯一性。在这里，每个身体的静摩擦系数和动摩擦系数都相等。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.