Analytic Regularity for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters  

作　　者：Irene Sykopetritou Christos Xenophontos 

机构地区：[1]Department of Mathematics and Statistics,University of Cyprus,Po Box 20537,Nicosia 1678,Cyprus.

出　　处：《Communications in Mathematical Research》2024年第2期125-153,共29页数学研究通讯（英文版）

摘　　要：We consider a second order,two-point,singularly perturbed boundary value problem,of reaction-convection-diffusion type with two small parameters,and we obtain analytic regularity results for its solution,under the assumption of analytic input data.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.

关 键 词：Singularly perturbed problem reaction-convection-diffusion boundary layers analytic regularity. 

分 类 号：O186.11[理学—数学]