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

页码：267 / 296

页数：30

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