Well Posedness and Polynomial Decay of Solution to the Initial‐Boundary Value Problem in Thermodiffusion for a Solid Body
ABSTRACT In this paper, we consider a hyperbolic‐parabolic system of equations describing the thermodiffusion in a solid body. The theory of thermodiffusion is a combination of the theory of heat conduction and diffusion with the theory of elasticity. In this work, we establish the well‐posedness of an initial‐boundary value problem for a system describing this phenomenon, using the semigroup theory. Moreover, we prove a polynomial decay of solutions satisfying certain properties.
Authors
- Łukasz Kiszkowiak (ORCID: https://orcid.org/0000-0002-4855-7639)
- Stanisław Kachel (ORCID: https://orcid.org/0000-0002-7340-8192)
- Salim A. Messaoudi (ORCID: https://orcid.org/0000-0003-1061-0075)
- Jerzy Gawinecki (ORCID: https://orcid.org/0000-0002-9953-6897)
- Jarosław Łazuka (ORCID: https://orcid.org/0000-0003-1362-5440)
Institutions
- Military University of Technology in Warsaw (PL)
- University of Sharjah (AE)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-07-18
- DOI
- https://doi.org/10.1002/mma.70897
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Wojskowa Akademia Techniczna