A one-dimensional reaction/diffusion system with a fast reaction

Thomas I. Seidman; Leonid V. Kalachev

doi:10.1006/jmaa.1997.5395

A one-dimensional reaction/diffusion system with a fast reaction

Thomas I. Seidman
, Leonid V. Kalachev

University of Maryland, Baltimore County

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We consider a system of second-order ordinary differential equations describing steady state for a three-component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.

Original language	English
Pages (from-to)	392-414
Number of pages	23
Journal	Journal of Mathematical Analysis and Applications
Volume	209
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1997.5395
State	Published - May 15 1997

Funding

This work was partially supported by the University of Montana Grants Program. The first author owes thanks to D. Hilhorst Univ. Paris-Sud) for several stimulating conversations at the initiation of this investigation.

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10.1006/jmaa.1997.5395

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title = "A one-dimensional reaction/diffusion system with a fast reaction",

abstract = "We consider a system of second-order ordinary differential equations describing steady state for a three-component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.",

author = "Seidman, \{Thomas I.\} and Kalachev, \{Leonid V.\}",

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AU - Seidman, Thomas I.

AU - Kalachev, Leonid V.

N1 - Funding Information: This work was partially supported by the University of Montana Grants Program. The first author owes thanks to D. Hilhorst Univ. Paris-Sud) for several stimulating conversations at the initiation of this investigation.

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N2 - We consider a system of second-order ordinary differential equations describing steady state for a three-component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.

AB - We consider a system of second-order ordinary differential equations describing steady state for a three-component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.

UR - https://www.scopus.com/pages/publications/0031130353

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DO - 10.1006/jmaa.1997.5395

M3 - Article

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EP - 414

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ER -

A one-dimensional reaction/diffusion system with a fast reaction

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