A study on continuous dependence of layered composite materials in binary mixtures on basic data

This paper investigates the continuous dependence of solutions to layered composite materials in binary mixtures on perturbation parameters defined in a semi-infinite cylinder. Due to the fact that the base of the cylinder is easily disturbed by compression, this causes disturbances to the data at t...

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Main Author: Yuanfei Li
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:Electronic Research Archive
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Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024258
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author Yuanfei Li
author_facet Yuanfei Li
author_sort Yuanfei Li
collection DOAJ
description This paper investigates the continuous dependence of solutions to layered composite materials in binary mixtures on perturbation parameters defined in a semi-infinite cylinder. Due to the fact that the base of the cylinder is easily disturbed by compression, this causes disturbances to the data at the entrance. By introducing auxiliary functions related to the solution of the equations, this article analyzes the impact of these disturbances on the solutions of the binary heat conduction equations and obtains the continuous dependence of the solutions on the base.
format Article
id doaj-art-d96e5c33324b4d35b9ca31354d2fb397
institution Kabale University
issn 2688-1594
language English
publishDate 2024-10-01
publisher AIMS Press
record_format Article
series Electronic Research Archive
spelling doaj-art-d96e5c33324b4d35b9ca31354d2fb3972025-01-23T07:52:52ZengAIMS PressElectronic Research Archive2688-15942024-10-0132105577559110.3934/era.2024258A study on continuous dependence of layered composite materials in binary mixtures on basic dataYuanfei Li0School of data science, Guangzhou Huashang College, Guangdong 511300, ChinaThis paper investigates the continuous dependence of solutions to layered composite materials in binary mixtures on perturbation parameters defined in a semi-infinite cylinder. Due to the fact that the base of the cylinder is easily disturbed by compression, this causes disturbances to the data at the entrance. By introducing auxiliary functions related to the solution of the equations, this article analyzes the impact of these disturbances on the solutions of the binary heat conduction equations and obtains the continuous dependence of the solutions on the base.https://www.aimspress.com/article/doi/10.3934/era.2024258binary heat conduction equationsbasecontinuous dependence
spellingShingle Yuanfei Li
A study on continuous dependence of layered composite materials in binary mixtures on basic data
Electronic Research Archive
binary heat conduction equations
base
continuous dependence
title A study on continuous dependence of layered composite materials in binary mixtures on basic data
title_full A study on continuous dependence of layered composite materials in binary mixtures on basic data
title_fullStr A study on continuous dependence of layered composite materials in binary mixtures on basic data
title_full_unstemmed A study on continuous dependence of layered composite materials in binary mixtures on basic data
title_short A study on continuous dependence of layered composite materials in binary mixtures on basic data
title_sort study on continuous dependence of layered composite materials in binary mixtures on basic data
topic binary heat conduction equations
base
continuous dependence
url https://www.aimspress.com/article/doi/10.3934/era.2024258
work_keys_str_mv AT yuanfeili astudyoncontinuousdependenceoflayeredcompositematerialsinbinarymixturesonbasicdata
AT yuanfeili studyoncontinuousdependenceoflayeredcompositematerialsinbinarymixturesonbasicdata