On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor
In this paper, the existence and uniqueness of weak solutions is established for a nonlinear parabolic system arising in modelling of a catalytic cracking reactor. By applying the asymptotic behaviour, it is demonstrated that under certain restrictive assumptions on the kinetic parameters, the solut...
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2021
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oai:doaj.org-article:cacec22e782e4db1a73a834e2ef229192021-11-24T04:35:02ZOn a nonlinear parabolic system arising in modelling of a catalytic cracking reactor2666-818110.1016/j.padiff.2021.100194https://doaj.org/article/cacec22e782e4db1a73a834e2ef229192021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666818121001017https://doaj.org/toc/2666-8181In this paper, the existence and uniqueness of weak solutions is established for a nonlinear parabolic system arising in modelling of a catalytic cracking reactor. By applying the asymptotic behaviour, it is demonstrated that under certain restrictive assumptions on the kinetic parameters, the solutions converge towards a solution of the corresponding stationary problem.E.H. HassnaouiA. Qadi El IdrissiElsevierarticleNonlinear parabolic systemDankwertsUnsteady stateApplied mathematics. Quantitative methodsT57-57.97ENPartial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100194- (2021) |
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DOAJ |
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Nonlinear parabolic system Dankwerts Unsteady state Applied mathematics. Quantitative methods T57-57.97 |
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Nonlinear parabolic system Dankwerts Unsteady state Applied mathematics. Quantitative methods T57-57.97 E.H. Hassnaoui A. Qadi El Idrissi On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
description |
In this paper, the existence and uniqueness of weak solutions is established for a nonlinear parabolic system arising in modelling of a catalytic cracking reactor. By applying the asymptotic behaviour, it is demonstrated that under certain restrictive assumptions on the kinetic parameters, the solutions converge towards a solution of the corresponding stationary problem. |
format |
article |
author |
E.H. Hassnaoui A. Qadi El Idrissi |
author_facet |
E.H. Hassnaoui A. Qadi El Idrissi |
author_sort |
E.H. Hassnaoui |
title |
On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
title_short |
On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
title_full |
On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
title_fullStr |
On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
title_full_unstemmed |
On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
title_sort |
on a nonlinear parabolic system arising in modelling of a catalytic cracking reactor |
publisher |
Elsevier |
publishDate |
2021 |
url |
https://doaj.org/article/cacec22e782e4db1a73a834e2ef22919 |
work_keys_str_mv |
AT ehhassnaoui onanonlinearparabolicsystemarisinginmodellingofacatalyticcrackingreactor AT aqadielidrissi onanonlinearparabolicsystemarisinginmodellingofacatalyticcrackingreactor |
_version_ |
1718415942746112000 |