Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions

Sally S. L. Shao

doi:10.1016/j.na.2005.11.024

Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions

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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.

Original language	American English
Journal	Nonlinear Analysis: Theory, Methods Applications
Volume	66
DOIs	https://doi.org/10.1016/j.na.2005.11.024
State	Published - Jan 15 2007

Keywords

Singularly perturbed reaction–convection–diffusion system
Boundary layers
Shock layer
Interior corner layers
Domain decomposition

Disciplines

Analysis
Mathematics

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10.1016/j.na.2005.11.024License: CC BY

http://www.sciencedirect.com/science/article/pii/S0362546X0500982X

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title = "Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions",

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.",

keywords = "Singularly perturbed reaction–convection–diffusion system, Boundary layers, Shock layer, Interior corner layers, Domain decomposition",

author = "Shao, \{Sally S. L.\}",

note = "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.",

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doi = "10.1016/j.na.2005.11.024",

language = "American English",

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T1 - Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions

AU - Shao, Sally S. L.

N1 - 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.

PY - 2007/1/15

Y1 - 2007/1/15

N2 - 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.

AB - 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.

KW - Singularly perturbed reaction–convection–diffusion system

KW - Boundary layers

KW - Shock layer

KW - Interior corner layers

KW - Domain decomposition

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/40

UR - http://www.sciencedirect.com/science/article/pii/S0362546X0500982X

U2 - 10.1016/j.na.2005.11.024

DO - 10.1016/j.na.2005.11.024

M3 - Article

VL - 66

JO - Nonlinear Analysis: Theory, Methods Applications

JF - Nonlinear Analysis: Theory, Methods Applications

ER -

Asymptotic Analysis and Domain Decomposition for a Singularly Perturbed Reaction–Convection–Diffusion System with Shock–Interior Layer Interactions

Abstract

Keywords

Disciplines

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