Work

Integral equation method for a Robin-type traction problem in a periodic domain

Year: 2022

Type: preprint

Abstract: In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the solution we use periodic elastic layer potentials to show that the solution can be written as the sum of a single layer potential, a constant function and a linear function of the space variable. The density of the periodic single layer potential and the constant are identified as the unique solutions of a certain integral equation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2208.02702

Authors: Riva, Matteo Dalla, Mishuris, Gennady, Musolino, Paolo

Institutions: Aberystwyth University, Ca' Foscari University of Venice

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Horizon 2020 Framework Programme, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Awards: G2198898644, G3143816526, G3345895242, G3477743816

OpenAlex ID: W4290056616

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