Peridynamic model of membrane heating

This paper describes a peridynamic model for membrane heating, formulated as a hypersingular integro-differential equation in a two-dimensional periodic setting. It states that the existence and uniqueness of the solution have been proven.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-06-11
DOI
https://doi.org/10.29229/uzmj.2025-2-32
Primary Topic
Numerical methods in engineering
Type
article
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article

Peridynamic model of membrane heating

A. Yuldasheva
4 links
Uzbek Mathematical Journal
Numerical methods in engineering
article

Peridynamic model of membrane heating

A. Yuldasheva
article en

Abstract

This paper describes a peridynamic model for membrane heating, formulated as a hypersingular integro-differential equation in a two-dimensional periodic setting. It states that the existence and uniqueness of the solution have been proven.

Uzbek Mathematical JournalVol. 69(2)
Openalex Percentile: Top 85%
Numerical methods in engineering
DOISourceOpenAlex
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Peridynamic model of membrane heating — A. Yuldasheva · Uzbek Mathematical Journal (2025) | TGRS Research Map | TGRS