An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering
In applications it is common to arrive at a problem where the choice of an optimal domain is considered. One such problem is the one associated with the steady state reaction diffusion equation given by a semilinear elliptic equation with a monotone nonlinearity g. In some contexts, in particular...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/22/d1/abstr.html |
| _version_ | 1811270399477940224 |
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| author | Jesus Ildefonso Diaz David Gomez-Castro |
| author_facet | Jesus Ildefonso Diaz David Gomez-Castro |
| author_sort | Jesus Ildefonso Diaz |
| collection | DOAJ |
| description | In applications it is common to arrive at a problem where the choice of
an optimal domain is considered. One such problem is the one associated with
the steady state reaction diffusion equation given by a semilinear elliptic
equation with a monotone nonlinearity g. In some contexts, in particular
in chemical engineering, it is common to consider the functional given by
the integral of this nonlinear term of the solution dived by the measure of
the domain $\Omega$ in which the pde takes place. This is often related
with the effectiveness of the reaction. In this paper our aim is to study
the differentiability of such functional as study connected to the
optimality of the best chemical reactor. |
| first_indexed | 2024-04-12T22:00:03Z |
| format | Article |
| id | doaj.art-e90cd1b28c984c30b1fcef5f9b2a29ee |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T22:00:03Z |
| publishDate | 2015-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e90cd1b28c984c30b1fcef5f9b2a29ee2022-12-22T03:15:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-11-012015223145An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineeringJesus Ildefonso Diaz0David Gomez-Castro1 Univ. Complutense de Madrid, Spain Univ. Complutense de Madrid, Spain In applications it is common to arrive at a problem where the choice of an optimal domain is considered. One such problem is the one associated with the steady state reaction diffusion equation given by a semilinear elliptic equation with a monotone nonlinearity g. In some contexts, in particular in chemical engineering, it is common to consider the functional given by the integral of this nonlinear term of the solution dived by the measure of the domain $\Omega$ in which the pde takes place. This is often related with the effectiveness of the reaction. In this paper our aim is to study the differentiability of such functional as study connected to the optimality of the best chemical reactor.http://ejde.math.txstate.edu/conf-proc/22/d1/abstr.htmlShape differentiationeffectiveness factorreaction-diffusionchemical engineeringnumerical experiments |
| spellingShingle | Jesus Ildefonso Diaz David Gomez-Castro An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering Electronic Journal of Differential Equations Shape differentiation effectiveness factor reaction-diffusion chemical engineering numerical experiments |
| title | An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering |
| title_full | An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering |
| title_fullStr | An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering |
| title_full_unstemmed | An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering |
| title_short | An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering |
| title_sort | application of shape differentiation to the effectiveness of a steady state reaction diffusion problem arising in chemical engineering |
| topic | Shape differentiation effectiveness factor reaction-diffusion chemical engineering numerical experiments |
| url | http://ejde.math.txstate.edu/conf-proc/22/d1/abstr.html |
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