Mathematical Models of Combustion Processes

• Published in: Journal 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
• Language: English
• 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

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.