Shape optimization of stationary Navier-Stokes equation over classes of convex domains

被引：4
|
作者：
Yang, Donghui [1 ]
机构：
[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Shape optimization; Stationary Navier-Stokes equation; Convex domains;
D O I：
10.1016/j.na.2009.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we obtain some properties for the family of some convex domains. Based on these, we prove the existence of solutions of some shape optimization for stationary Navier-Stokes equations. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：6202 / 6211
页数：10
相关论文
共 50 条
  • [1] Shape optimization for stationary Navier-Stokes equations
    Halanay, Andrei
    Tiba, Dan
    CONTROL AND CYBERNETICS, 2009, 38 (04): : 1359 - 1374
  • [2] Besov regularity for the stationary Navier-Stokes equation on bounded Lipschitz domains
    Eckhardt, Frank
    Cioica-Licht, Petru A.
    Dahlke, Stephan
    APPLICABLE ANALYSIS, 2018, 97 (03) : 466 - 485
  • [3] On the stationary Navier-Stokes equations in exterior domains
    Kim, Hyunseok
    Kozono, Hideo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (02) : 486 - 495
  • [4] SHAPE HOLOMORPHY OF THE STATIONARY NAVIER-STOKES EQUATIONS
    Cohen, Albert
    Schwab, Christoph
    Zech, Jakob
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 50 (02) : 1720 - 1752
  • [5] Shape optimization for Navier-Stokes flow
    Gao, Z. M.
    Ma, Y. C.
    Zhuang, H. W.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2008, 16 (05) : 583 - 616
  • [6] REGULARITY FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN BOUNDED DOMAINS
    FREHSE, J
    RUZICKA, M
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1994, 128 (04) : 361 - 380
  • [7] APPLYING A PHASE FIELD APPROACH FOR SHAPE OPTIMIZATION OF A STATIONARY NAVIER-STOKES FLOW
    Garcke, Harald
    Hecht, Claudia
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2016, 22 (02) : 309 - 337
  • [8] The Navier-Stokes equations over unbounded domains
    Kähler, UU
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1431 - 1446
  • [9] On a shape control problem for the stationary Navier-Stokes equations
    Gunzburger, MD
    Kim, H
    Manservisi, S
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2000, 34 (06): : 1233 - 1258
  • [10] On mixed finite element approximations of shape gradients in shape optimization with the Navier-Stokes equation
    Li, Jiajie
    Zhu, Shengfeng
    Shen, Xiaoqin
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (02) : 1604 - 1634
12345