瞬态弹性连杆机构介导的摩擦力：对有界变化载荷的扩展

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2022-09-01 DOI:10.1216/jie.2022.34.267

S. Allouch, V. Milišić

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引用次数: 1

摘要

在这项工作中，我们感兴趣的是积分微分方程组关于渐近参数ε的收敛性。它出现在细胞粘附建模的背景下[16，15]。我们将框架从[12，13]扩展到仅f∈BV（0，T）的情况，这强烈依赖于外部载荷f在Lip（[0，T]）中的假设。我们展示了[13]中给出的结果如何自然地扩展到这个新的设置，而根据[12]中引入的比较原理只能获得部分结果。

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Friction mediated by transient elastic linkages: extension to loads of bounded variation

In this work, we are interested in the convergence of a system of integro-differential equations with respect to an asymptotic parameter ε. It appears in the context of cell adhesion modelling [16, 15]. We extend the framework from [12, 13], strongly depending on the hypothesis that the external load f is in Lip([0, T ]) to the case where f ∈ BV(0, T ) only. We show how results presented in [13] naturally extend to this new setting, while only partial results can be obtained following the comparison principle introduced in [12].

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.