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Navegando DEMAT - Artigos publicados em periódicos por Autor "Araújo, Anderson Luis Albuquerque de"
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Item Existence of solutions and local null controllability for a model of tissue invasion by solid tumors.(2018) Araújo, Anderson Luis Albuquerque de; Magalhães, Paulo Marcelo Dias deIn this paper we study the distributed problem for the two-dimensional mathematical model of the invasion of a healthy tissue by a generic solid tumor that has been vascularized, due to coupled parabolic systems. We prove the existence, uniqueness, and local null controllability.Item Existence of solutions and optimal control for a model of tissue invasion by solid tumours.(2015) Araújo, Anderson Luis Albuquerque de; Magalhães, Paulo Marcelo Dias deIn this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.Item On explicit L∞(QT)‐estimates for a model of tissue invasion by solid tumors.(2017) Araújo, Anderson Luis Albuquerque de; Magalhães, Paulo Marcelo Dias deIn this paper, we prove that if the initial data is small enough, we obtain an explicit L∞(QT)‐estimate for a two‐dimensional mathematical model of cancer invasion, proving an explicit bound with respect to time T for the estimate of solutions. Copyright © 2017 John Wiley & Sons, Ltd.