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BOUNDARY VALUE PROBLEM FOR THE STATIONARY THERMAL DIFFUSION MODEL WITH VARIABLE COEFFICIENTS
- Authors: Alekseev G.V1,2, Pukhnachev V.V3
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Affiliations:
- Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences
- Far Eastern Federal University
- M.A. Lavrentiev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 526, No 1 (2025)
- Pages: 3-7
- Section: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/364242
- DOI: https://doi.org/10.7868/S3034504925060013
- ID: 364242
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Abstract
The global solvability and local uniqueness of a new boundary value problem for a stationary thermal diffusion model with variable coefficients, taking into account the Soret effect, are proven. A priori estimates of the norms of the main components of the solution are derived and analyzed, depending on the norms of the problem data and the leading coefficients of the model. A special dependence of the solution on the modulus of the Soret coefficient is established.
About the authors
G. V Alekseev
Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences; Far Eastern Federal University
Email: alekseev@iam.dvo.ru
Vladivostok, Russia
V. V Pukhnachev
M.A. Lavrentiev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences
Email: pukhnachev@gmail.com
Corresponding Member of the RAS Novosibirsk, Russia
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