Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models
We prove the global existence of the state trajectories for a class of non-linear systems arising from convection-dispersion-reaction processes. It is also shown that there is at least one steady state in the set of physically feasible states for such systems. The uniqueness and the stability analys...
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| Veröffentlicht in: | IMA journal of mathematical control and information 2007-06, Vol.24 (2), p.163-175 |
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| container_title | IMA journal of mathematical control and information |
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| creator | Aylaj, B. Achhab, M. E. Laabissi, M. |
| description | We prove the global existence of the state trajectories for a class of non-linear systems arising from convection-dispersion-reaction processes. It is also shown that there is at least one steady state in the set of physically feasible states for such systems. The uniqueness and the stability analysis of this steady-state solution are discussed. Our approach is based on the analysis of a non-linear set of partial differential equations, using the upper and lower solutions, dissipativity properties, a subtangential condition and the positivity of the related C0-semigroup. |
| doi_str_mv | 10.1093/imamci/dnl013 |
| format | Article |
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| identifier | ISSN: 0265-0754 |
| ispartof | IMA journal of mathematical control and information, 2007-06, Vol.24 (2), p.163-175 |
| issn | 0265-0754 1471-6887 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_00400438v1 |
| source | Oxford University Press Journals All Titles (1996-Current) |
| subjects | Analysis of PDEs compact semigroup dissipativity Dynamical Systems equilibrium profile Mathematics non-linear distributed parameter systems Optimization and Control positive C0-semigroup tubular reactor |
| title | Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models |
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