Some Technical Aspects for the Solution of Initial-Value Problem in Linear Thermodiffusion in the Thermal Stresses Theory with Application in Mechanical Engineering

In this paper, we consider the solution of the initial-value problem in thermodiffusion in a solid body in three-dimensional space. Not only do we prove the behavior of the solution over time, but we identify some of its technical aspects as well. Stabilizing a thermodiffusion system in solids is essential for understanding the long-time behaviour of some materials, which are used in mechanical engineering; this is especially important for materials used in aviation, not only in civil aviation but in the air force as well.

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Publication Details

Journal
Applied Sciences
Published
2025-12-31
DOI
https://doi.org/10.3390/app16010451
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Some Technical Aspects for the Solution of Initial-Value Problem in Linear Thermodiffusion in the Thermal Stresses Theory with Application in Mechanical Engineering

Łukasz Kiszkowiak, Stanisław Kachel, Konrad Wojtowicz, Jerzy Gawinecki et al.
Applied Sciences
Nonlinear Partial Differential Equations
article

Some Technical Aspects for the Solution of Initial-Value Problem in Linear Thermodiffusion in the Thermal Stresses Theory with Application in Mechanical Engineering

Łukasz Kiszkowiak, Stanisław Kachel, Konrad Wojtowicz, Jerzy Gawinecki, Cristian-Emil Moldoveanu, Michał Ciałkowski, Adam Kozakiewicz
article en

Abstract

In this paper, we consider the solution of the initial-value problem in thermodiffusion in a solid body in three-dimensional space. Not only do we prove the behavior of the solution over time, but we identify some of its technical aspects as well. Stabilizing a thermodiffusion system in solids is essential for understanding the long-time behaviour of some materials, which are used in mechanical engineering; this is especially important for materials used in aviation, not only in civil aviation but in the air force as well.

Applied SciencesVol. 16(1)
Military University of Technology in Warsaw (PL), Military Technical Academy (RO), Poznań University of Technology (PL)
Wojskowa Akademia Techniczna
Openalex Percentile: Top 21%
Nonlinear Partial Differential Equations
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Some Technical Aspects for the Solution of Initial-Value Problem in Linear Thermodiffusion in the Thermal Stresses Theory with Application in Mechanical Engineering — Łukasz Kiszkowiak, Stanisław Kachel, et al. · Applied Sciences (2025) | TGRS Research Map | TGRS