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

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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.

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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. <i>Electronic Journal of Differential Equations, 2017</i>(221), pp. 1-11.

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Attribution 4.0 International

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