Singular Perturbations in First-Order Partial Differential Equations with Matrix Differential Operators

Singular Perturbations in First-Order Partial Differential Equations with Matrix Differential Operators

In this paper, we consider differential equations whose degeneracy is due to the presence of a matrix differential operator coefficient of the derivative perturbed by a small parameter. Properties of this operator are applied to the analysis of the presence of a boundary layer in solutions of initia...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-11, Vol.268 (1), p.130-137
1. Verfasser: Uskov, V. I.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Boundary layers
Boundary value problems
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Partial differential equations
Perturbation
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Zusammenfassung:In this paper, we consider differential equations whose degeneracy is due to the presence of a matrix differential operator coefficient of the derivative perturbed by a small parameter. Properties of this operator are applied to the analysis of the presence of a boundary layer in solutions of initial-boundary-value problems for equations considered. Regularity conditions of degeneracy are determined.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06185-0