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<identifier>oai:HAL:hal-01567339v1</identifier>
<datestamp>2017-12-22</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Simultaneous null controllability of parabolic equations with nonlocal terms</title>
<creator>Louis-Rose, Carole</creator>
<contributor>Université des Antilles, LAMIA, 97110 Pointe-à-Pitre</contributor>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>LAMIA</contributor>
<description>International audience</description>
<source>2017 Proceedings of the Conference on Control and its Applications</source>
<source>SIAM Conference on Control & its Applications</source>
<coverage>Pittsburgh, United States</coverage>
<contributor>Society for Industrial and Applied Mathematics</contributor>
<contributor>Wei Kang, Jean-Pierre Barbot, Qing Zhang and Ruihua Liu</contributor>
<identifier>hal-01567339</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01567339</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01567339</source>
<source>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〉</source>
<identifier>DOI : 10.1137/1.9781611975024.3</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1137/1.9781611975024.3</relation>
<language>en</language>
<subject lang=en> Optimization in Control and Systems Theory</subject>
<subject lang=en>Control of Nonlinear Systems</subject>
<subject>[MATH] Mathematics [math]</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<subject>[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]</subject>
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<type>Conference papers</type>
<description lang=en>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. </description>
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<date>2017-07-10</date>
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