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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Communication dans un congrès
Wei Kang, Jean-Pierre Barbot, Qing Zhang and Ruihua Liu. SIAM Conference on Control & its Applications, Jul 2017, Pittsburgh, United States. 2017 Proceedings of the Conference on Control and its Applications, PRCT17, pp 17-24 (8 p.), 2017, 2017 Proceedings of the Conference on Control and its Applications. 〈10.1137/1.9781611975024.3〉
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https://hal.archives-ouvertes.fr/hal-01567339
Contributeur : Carole Louis-Rose <>
Soumis le : samedi 22 juillet 2017 - 18:13:51
Dernière modification le : mercredi 18 juillet 2018 - 20:11:27

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Carole Louis-Rose. Simultaneous null controllability of parabolic equations with nonlocal terms. Wei Kang, Jean-Pierre Barbot, Qing Zhang and Ruihua Liu. SIAM Conference on Control & its Applications, Jul 2017, Pittsburgh, United States. 2017 Proceedings of the Conference on Control and its Applications, PRCT17, pp 17-24 (8 p.), 2017, 2017 Proceedings of the Conference on Control and its Applications. 〈10.1137/1.9781611975024.3〉. 〈hal-01567339〉

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