Simultaneous null controllability of parabolic equations with nonlocal terms

Abstract : This paper is concerned with a null controllability problem for nonlinear parabolic equations appearing in mathematical biology. We consider a system of two equations with a nonlocal nonlinearity, in a bounded domain Ω of ℝN0, N0 being a positive integer sufficiently small. Such models can be used in the context of dynamics of biological systems to describe the migration of population (of bacteria in a container). Our aim is to find a control common to both equations, which solves the null controllabillity of the studied system under constraints on the state. A similar control problem has recently been addressed for the Laplace operator, so the present paper extends those results.
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https://hal.archives-ouvertes.fr/hal-01567339
Contributor : Carole Louis-Rose <>
Submitted on : Saturday, July 22, 2017 - 6:13:51 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Carole Louis-Rose. Simultaneous null controllability of parabolic equations with nonlocal terms. SIAM Conference on Control & its Applications, Society for Industrial and Applied Mathematics, Jul 2017, Pittsburgh, United States. pp 17-24 (8 p.), ⟨10.1137/1.9781611975024.3⟩. ⟨hal-01567339⟩

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