A quasilinear parabolic system arising in modelling of catalytic reactors

Avner Friedman; Athanassios E. Tzavaras

doi:10.1016/0022-0396(87)90162-8

A quasilinear parabolic system arising in modelling of catalytic reactors

Avner Friedman^*, Athanassios E. Tzavaras

^*Corresponding author for this work

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

21 Scopus citations

Abstract

A system of four quasilinear parabolic equations arising in modelling of catalytic reactors is studied; the system is coupled in a nonstandard way. We prove that the system has unique global solution. The asymptotic behavior (as t → ∞) is studied.

Original language	English (US)
Pages (from-to)	167-196
Number of pages	30
Journal	Journal of Differential Equations
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/0022-0396(87)90162-8
State	Published - Nov 1987
Externally published	Yes

Bibliographical note

Funding Information:
*This work is partially supported by the National Science Foundation under Grants DMS-8420896 and DMS-8501397. We would like to express our gratitude to Professor R. Ramkrishna for bringing to our attention the model studied in this paper.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-0396(87)90162-8

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title = "A quasilinear parabolic system arising in modelling of catalytic reactors",

abstract = "A system of four quasilinear parabolic equations arising in modelling of catalytic reactors is studied; the system is coupled in a nonstandard way. We prove that the system has unique global solution. The asymptotic behavior (as t → ∞) is studied.",

author = "Avner Friedman and Tzavaras, {Athanassios E.}",

note = "Funding Information: *This work is partially supported by the National Science Foundation under Grants DMS-8420896 and DMS-8501397. We would like to express our gratitude to Professor R. Ramkrishna for bringing to our attention the model studied in this paper.",

year = "1987",

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AU - Tzavaras, Athanassios E.

N1 - Funding Information: *This work is partially supported by the National Science Foundation under Grants DMS-8420896 and DMS-8501397. We would like to express our gratitude to Professor R. Ramkrishna for bringing to our attention the model studied in this paper.

PY - 1987/11

Y1 - 1987/11

N2 - A system of four quasilinear parabolic equations arising in modelling of catalytic reactors is studied; the system is coupled in a nonstandard way. We prove that the system has unique global solution. The asymptotic behavior (as t → ∞) is studied.

AB - A system of four quasilinear parabolic equations arising in modelling of catalytic reactors is studied; the system is coupled in a nonstandard way. We prove that the system has unique global solution. The asymptotic behavior (as t → ∞) is studied.

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DO - 10.1016/0022-0396(87)90162-8

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

A quasilinear parabolic system arising in modelling of catalytic reactors

Abstract

Bibliographical note

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