FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Analysis of semilinear elliptic boundary value problem and its applications |
Pishchikov A. A., Chebotarev A. Yu. |
2024, issue 2, P. 259-267 DOI: https://doi.org/10.47910/FEMJ202423 |
Abstract |
| A stationary model of the reaction-diffusion type in a three-dimensional domain is considered. Sufficient conditions for the existence and uniqueness of a weak solution to the posed boundary value problem are found. As an example, diffusion models of complex heat exchange and oxygen transfer in biological tissues are considered. |
Keywords: stationary diffusion-reaction models, weak solution, unique solvability, radiative heat transfer equations. |
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References |
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