Counting the number of solutions in combustion and reactive flow problems

Ed Ash; Brian Eaton; Karl Gustafson

doi:10.1007/BF00945956

Counting the number of solutions in combustion and reactive flow problems

Ed Ash, Brian Eaton, Karl Gustafson

University of Colorado Boulder

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

5 Scopus citations

Abstract

Computational methods and comparison theory enable, when combined, an enhanced capability for counting the number of solutions in combustion equations. Very good lower bounds for the last turning point reveal a stable high temperature "explosion branch" for very small positive exothermicity.

Original language	English
Pages (from-to)	558-578
Number of pages	21
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	41
Issue number	4
DOIs	https://doi.org/10.1007/BF00945956
State	Published - Jul 1990
Externally published	Yes

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title = "Counting the number of solutions in combustion and reactive flow problems",

abstract = "Computational methods and comparison theory enable, when combined, an enhanced capability for counting the number of solutions in combustion equations. Very good lower bounds for the last turning point reveal a stable high temperature {"}explosion branch{"} for very small positive exothermicity.",

author = "Ed Ash and Brian Eaton and Karl Gustafson",

year = "1990",

month = jul,

doi = "10.1007/BF00945956",

language = "English",

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publisher = "Birkhauser Verlag Basel",

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AU - Eaton, Brian

AU - Gustafson, Karl

PY - 1990/7

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AB - Computational methods and comparison theory enable, when combined, an enhanced capability for counting the number of solutions in combustion equations. Very good lower bounds for the last turning point reveal a stable high temperature "explosion branch" for very small positive exothermicity.

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DO - 10.1007/BF00945956

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AN - SCOPUS:34249956705

SN - 0044-2275

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 4

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Counting the number of solutions in combustion and reactive flow problems

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