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

被引：0
|
作者：
Araruna, F. D. [1 ]
Calsavara, B. M. R. [2 ]
Fernandez-Cara, E. [3 ,4 ]
机构：
[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
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2018年 / 78卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Phase field models; Solidification models; Controllability; Observability; ONE CONTROL FORCE; NAVIER-STOKES SYSTEM; PHASE CHANGE SYSTEMS; N-1 SCALAR CONTROLS; NULL CONTROLLABILITY; SPECIES TRANSPORT; BOUSSINESQ SYSTEM; PARABOLIC-SYSTEMS; CONTINUUM MODEL; HEAT;
D O I：
10.1007/s00245-017-9406-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：267 / 296
页数：30
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