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Selected Works of Sally Shao
Article
Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions
Nonlinear Analysis: Theory, Methods & Applications
  • Sally S. L. Shao, Cleveland State University
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Document Type
Article
Publication Date
1-15-2007
Disciplines
Abstract

We study an initial-boundary value problem for a singularly perturbed reaction–convection–diffusion system. Asymptotic analysis is used to construct a domain decomposition method for the system to describe the asymptotic nature of the interactions between the boundary layers, interior layers and shock layers. Our results show that the formation of boundary layers and shock layers depends upon initial and boundary data. Impinging shock can thicken interior layers at the point of intersection.

DOI
dx.doi.org/10.1016/j.na.2005.11.024
Citation Information
S. Shao, (2007). Asymptotic analysis and domain decomposition for a singularly perturbed reaction–convection–diffusion system with shock–interior layer interactions. Nonlinear Analysis: Theory, Methods & Applications, 66(2), 271-287, doi: dx.doi.org/10.1016/j.na.2005.11.024.