Mathematical Models of Combustion Processes

In this paper, we consider model problems of chemical kinetics that lead to singularly perturbed parabolic equations in domains with nonsmooth boundaries. The solvability of such problems depends on the properties of the inhomogeneity at corner points of the boundary.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 281; no. 3; pp. 390 - 397
Main Authors Denisov, I. V., Denisov, A. I.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.05.2024
Springer
Springer Nature B.V
Subjects
Analysis
Chemical reaction, Rate of
Combustion
Inhomogeneity
Mathematics
Mathematics and Statistics
Reaction kinetics
Singularly perturbed equation
Asymptotic approximation
34E10
Boundary layer
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Summary:In this paper, we consider model problems of chemical kinetics that lead to singularly perturbed parabolic equations in domains with nonsmooth boundaries. The solvability of such problems depends on the properties of the inhomogeneity at corner points of the boundary.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07113-0