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Analytic Regularity for a Singularly Perturbed Reaction-convection-diffusion Boundary Value Problem with Two Small Parameters by Sykopetritou, Irene; Xenophontos, Christos is a scholarly article available to read on EtoBox.

What is Analytic Regularity for a Singularly Perturbed Reaction-convection-diffusion Boundary Value Problem with Two Small Parameters about?

We consider a second order, two-point, singularly perturbed boundary value problem, of reaction-convection-diffusion type with two small parameters, and we obtain regularity results for its solution. First we establish classical differentiability bounds that are explicit in the order of differentiation and the singular perturbation parameters. Next, for small values of these parameters we show that the solution can be decomposed into a smooth part, boundary layers at the two endpoints and a negligible remainder. Derivative estimates are obtained for each component of the solution, which again are explicit in the differentiation order and the singular perturbation parameters.

Author

Sykopetritou, Irene; Xenophontos, Christos

Published

2019

Language

EN