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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Araruna, F. D. [1] ; Calsavara, B. M. R. [2] ; Fernandez-Cara, E. [3, 4]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: APPLIED MATHEMATICS AND OPTIMIZATION; v. 78, n. 2, p. 267-296, OCT 2018.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 12/15379-2 - Control and asymptotic behavior for physical and biological models
Grantee:Bianca Morelli Rodolfo Calsavara
Support type: Regular Research Grants
FAPESP's process: 14/16802-1 - Mathematical analysis for systems of evolutionary differential partial equations
Grantee:Bianca Morelli Rodolfo Calsavara
Support type: Regular Research Grants