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

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.

Authors:
 [1];  [2];  [3]
  1. Universidade Federal da Paraíba, Departamento de Matemática (Brazil)
  2. Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica (Brazil)
  3. University of Sevilla, Dpto. EDAN and IMUS (Spain)
Publication Date:
OSTI Identifier:
22749763
Resource Type:
Journal Article
Journal Name:
Applied Mathematics and Optimization
Additional Journal Information:
Journal Volume: 78; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; Article Copyright (c) 2017 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0095-4616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; NAVIER-STOKES EQUATIONS; NONLINEAR PROBLEMS; SOLIDIFICATION

Citation Formats

Araruna, F. D., E-mail: fagner@mat.ufpb.br, Calsavara, B. M. R.,, and Fernández-Cara, E., E-mail: cara@us.es. Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls. United States: N. p., 2018. Web. doi:10.1007/S00245-017-9406-4.
Araruna, F. D., E-mail: fagner@mat.ufpb.br, Calsavara, B. M. R.,, & Fernández-Cara, E., E-mail: cara@us.es. Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls. United States. doi:10.1007/S00245-017-9406-4.
Araruna, F. D., E-mail: fagner@mat.ufpb.br, Calsavara, B. M. R.,, and Fernández-Cara, E., E-mail: cara@us.es. Mon . "Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls". United States. doi:10.1007/S00245-017-9406-4.
@article{osti_22749763,
title = {Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls},
author = {Araruna, F. D., E-mail: fagner@mat.ufpb.br and Calsavara, B. M. R., and Fernández-Cara, E., E-mail: cara@us.es},
abstractNote = {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.},
doi = {10.1007/S00245-017-9406-4},
journal = {Applied Mathematics and Optimization},
issn = {0095-4616},
number = 2,
volume = 78,
place = {United States},
year = {2018},
month = {10}
}