Formation of a boundary-layer solution in a problem for a system of reaction-diffusion equations in a limited volume
- Authors: Levashova N.T.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 243 (2025)
- Pages: 38-44
- Section: Articles
- URL: https://ogarev-online.ru/2782-4438/article/view/312580
- DOI: https://doi.org/10.36535/2782-4438-2025-243-38-44
- ID: 312580
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Abstract
We consider a system of equations that describes a two-component chemical reaction in a limited volume. The reaction is assumed to occur in a solution, the concentration of reaction products increases in time, then becomes maximal possible under the given conditions (i.e., saturation occurs), and then the reaction terminates. A similar formulation can be used for describing microscopic processes occurring when CO$_2$ is injected into a rock, which is a porous medium with pores filled with water. For a system of two equations of the “reaction-diffusion” type on a segment, we show that in a finite time, a solution close to a stationary distribution corresponding to the concentration of a saturated solution under given conditions is formed from a given initial function.
About the authors
Natalia Timurovna Levashova
Lomonosov Moscow State University
Author for correspondence.
Email: levashovant@my.msu.ru
Candidate of physico-mathematical sciences, Associate professor
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