Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls

Autor(es)

Araruna, F. D. ^[1] ; Calsavara, B. M. R. ^[2] ; Fernandez-Cara, E. ^{[3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB - Brazil

^[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil

^[3] Univ Seville, Dept EDAN, Aptdo 1160, E-41080 Seville - Spain

^[4] Univ Seville, IMUS, Aptdo 1160, E-41080 Seville - Spain

• Tipo de documento: Artigo Científico
• Fonte: APPLIED MATHEMATICS AND OPTIMIZATION; v. 78, n. 2, p. 267-296, OCT 2018.
• Citações Web of Science: 0

Resumo

We analyze a control problem for a phase field system modeling the solidification process of materials that allow two different types of crystallization coupled to a Navier-Stokes system and a nonlinear heat equation, with a reduced number of controls. We prove that this system is locally exactly controllable to suitable trajectories, with controls acting only on the motion and heat equations. (AU)

• Processo FAPESP: 12/15379-2 - Controle e comportamento assintótico para modelos físicos e biológicos
• Beneficiário: Bianca Morelli Rodolfo Calsavara
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/16802-1 - Análise matemática para sistemas de equações diferenciais parciais de evolução
• Beneficiário: Bianca Morelli Rodolfo Calsavara
• Linha de fomento: Auxílio à Pesquisa - Regular