Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core
| dc.contributor.author | Gomez-Castro, David | |
| dc.date.accessioned | 2022-06-13T17:52:42Z | |
| dc.date.available | 2022-06-13T17:52:42Z | |
| dc.date.issued | 2017-09-16 | |
| dc.description.abstract | In this paper we consider an extension of the results in shape differentiation of semilinear equations with smooth nonlinearity presented by Díaz and Gómez-Castro [8] to the case in which the nonlinearities might be less smooth. Namely we show that Gateaux shape derivatives exists when the nonlinearity is only Lipschitz continuous, and we will give a definition of the derivative when the nonlinearity has a blow up. In this direction, we study the case of root-type nonlinearities. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gómez-Castro, D. (2017). Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core. Electronic Journal of Differential Equations, 2017(221), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15915 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Shape differentiation | |
| dc.subject | Reaction-diffusion | |
| dc.subject | Chemical engineering | |
| dc.subject | Dead core | |
| dc.title | Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core | |
| dc.type | Article |