A uniform controllability result for the Keller-Segel system

被引：17
作者：
Wallison Chaves-Silva, Felipe [1 ]
Guerrero, Sergio [2 ]
机构：
[1] BCAM Basque Ctr Appl Math, Bilbao 48009, Basque Country, Spain
[2] Univ Paris 06, UMR Lab Jacques Louis Lions 7598, Paris, France
来源：
ASYMPTOTIC ANALYSIS | 2015年 / 92卷 / 3-4期
关键词：
Keller-Segel system; controllability to trajectories; Carleman estimates; NULL CONTROLLABILITY; MODELS; EQUATIONS;
D O I：
10.3233/ASY-141282
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the controllability of the Keller-Segel system approximating its parabolic-elliptic version. We show that this parabolic system is locally uniform controllable around a constant solution of the parabolic-elliptic system when the control is acting on the component of the chemical.
引用
收藏
页码：313 / 338
页数：26
相关论文
共 25 条
  • [1] [Anonymous], LECT NOTES PURE APPL
  • [2] [Anonymous], T MATH MONOGRAPHS MO
  • [3] [Anonymous], ARXIV13034581
  • [4] [Anonymous], UNIFORM NULL CONTROL
  • [5] [Anonymous], 2003, I. Jahresber. Deutsch. Math.-Verein.
  • [6] [Anonymous], ARXIV12121255
  • [7] Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
    Bendahmane, Mostafa
    Wallison Chaves-Silva, Felipe
    [J]. COMPTES RENDUS MATHEMATIQUE, 2012, 350 (11-12) : 587 - 590
  • [8] Biler P., 1998, Adv. Math. Sci. Appl., V8, P715
  • [9] On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
    Biler, Piotr
    Brandolese, Lorenzo
    [J]. STUDIA MATHEMATICA, 2009, 193 (03) : 241 - 261
  • [10] Dontchev A.L., 1996, J CONVEX ANAL, V3, P45
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