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

Yuanfei Li; Yuanfei Li

doi:10.3934/era.2024258

Electronic Research Archive

2024, Volume 32, Issue 10: 5577-5591. doi: 10.3934/era.2024258

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

Yuanfei Li ^,

School of data science, Guangzhou Huashang College, Guangdong 511300, China

Received: 14 June 2024 Revised: 16 August 2024 Accepted: 26 September 2024 Published: 10 October 2024

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.
- binary heat conduction equations,
- base,
- continuous dependence
Citation: Yuanfei Li. A study on continuous dependence of layered composite materials in binary mixtures on basic data[J]. Electronic Research Archive, 2024, 32(10): 5577-5591. doi: 10.3934/era.2024258

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Abstract

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.

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