Boundary concentration phenomena for the higher-dimensional Keller-Segel system

被引：6

作者：

Agudelo, Oscar ^{[1
]}

Pistoia, Angela ^{[2
]}

机构：

[1] Univ W Bohemia, NTIS Dept Math, Plzen, Czech Republic

[2] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate, Rome, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 06期

关键词：

BUBBLING SOLUTIONS; STEADY-STATES; UP SOLUTIONS; BLOW-UP; DIFFUSION; ATTRACTION; EXISTENCE; MASS;

D O I：

10.1007/s00526-016-1083-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of steady states to the Keller-Segel system with linear chemotactical sensitivity function on a smooth bounded domain in R-N, N >= 3, having rotational symmetry. We find three different types of chemoattractant concentration which concentrate along suitable (N - 2)-dimensional minimal submanifolds of the boundary. The corresponding density of the cellular slime molds exhibit in the limit one or more Dirac measures supported on those boundary submanifolds.

引用

页数：31

共 50 条

[41] BOUNDARY LAYER ANALYSIS FROM THE KELLER-SEGEL SYSTEM TO THE AGGREGATION SYSTEM IN ONE SPACE DIMENSION
Che, Jiahang
Chen, Li
Goettlich, Simone
Pandey, Anamika
Wang, Jing
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (03) : 1013 - 1036
[42] Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions
Biler, Piotr
Boritchev, Alexandre
Brandolese, Lorenzo
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 344 : 891 - 914
[43] Global existence and blow-up in higher-dimensional Patlak-Keller-Segel system for multi populations
Lin, Ke
Zeng, Rong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (02)
[44] Multiple positive solutions of the stationary Keller-Segel system
Bonheure, Denis
Casteras, Jean-Baptiste
Noris, Benedetta
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (03)
[45] Steady states with unbounded mass of the Keller-Segel system
Pistoia, Angela
Vaira, Giusi
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (01) : 203 - 222
[46] CRITICAL MASS OF DEGENERATE KELLER-SEGEL SYSTEM WITH NO-FLUX AND NEUMANN BOUNDARY CONDITIONS
Mimura, Yoshifumi
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (03) : 1603 - 1630
[47] Boundedness in a Keller-Segel system with external signal production
Black, Tobias
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 436 - 455
[48] The fast signal diffusion limit in a Keller-Segel system
Mizukami, Masaaki
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (02) : 1313 - 1330
[49] Boundedness of the attraction-repulsion Keller-Segel system
Jin, Hai-Yang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 422 (02) : 1463 - 1478
[50] Time-decay Estimates for Keller-Segel System
Zhen Bin Cao
Xiao Feng Liu
Meng Wang
[J]. Acta Mathematica Sinica, English Series, 2021, 37 : 666 - 674

← 1 2 3 4 5 →