Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core
Date
2017-09-16
Authors
Gomez-Castro, David
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Shape differentiation, Reaction-diffusion, Chemical engineering, Dead core
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.
Rights
Attribution 4.0 International