Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
Pablo Braz e Silva, Francisco Guillén‐González, Cilon Perusato, María Ángeles Rodríguez‐Bellido
Abstract
Abstract An optimal control problem associated to the Keller–Segel with logistic reaction system is studied in 2D domains. The control acts in a bilinear form only in the chemical equation. The existence of an optimal control and a necessary optimality system are deduced. The main novelty is that the control can be rather singular and the state (cell density u and the chemical concentration v ) remains only in a weak setting, which is not usual in the literature.
Topics & Concepts
MathematicsBilinear interpolationNoveltyOptimal controlControl (management)State (computer science)Applied mathematicsMathematical optimizationStatisticsComputer scienceAlgorithmArtificial intelligenceTheologyPhilosophyMathematical Biology Tumor GrowthGene Regulatory Network AnalysisCancer Cells and Metastasis