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Application of different criteria for uniqueness to the tubular reactor problem
Author(s) -
Viuoen H. J.,
Van Rensburg N. F. J.
Publication year - 1988
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450660421
Subject(s) - uniqueness , a priori and a posteriori , mathematics , mathematical optimization , mathematical analysis , epistemology , philosophy
A new sufficient condition for uniqueness is applied to the tubular reactor problem. The resulting criterion is compared to existing criteria. Better a‐priori estimates of the temperature solution were used to improve estimates on upper bounds for uniqueness. It is shown that these a‐priori estimates bear the primary responsibility for the better results.