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

[1] Boundary concentration phenomena for the higher-dimensional Keller–Segel system
Oscar Agudelo
Angela Pistoia
[J]. Calculus of Variations and Partial Differential Equations, 2016, 55
[2] Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
Cieslak, Tomasz
Winkler, Michael
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 159 : 129 - 144
[3] GLOBAL BOUNDED SOLUTIONS OF THE HIGHER-DIMENSIONAL KELLER-SEGEL SYSTEM UNDER SMALLNESS CONDITIONS IN OPTIMAL SPACES
Cao, Xinru
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (05) : 1891 - 1904
[4] Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system
Winkler, Michael
[J]. NONLINEARITY, 2020, 33 (10) : 5007 - 5048
[5] Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Winkler, Michael
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (12) : 2889 - 2905
[6] A Keller-Segel type system in higher dimensions
Ulusoy, Suleyman
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (04): : 961 - 971
[7] Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Winkler, Michael
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 100 (05): : 748 - 767
[8] Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
Wang, Jianping
Wang, Mingxin
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (01)
[9] BOUNDARY LAYERS AND STABILIZATION OF THE SINGULAR KELLER-SEGEL SYSTEM
Peng, Hongyun
Wang, Zhi-An
Zhao, Kun
Zhu, Changjiang
[J]. KINETIC AND RELATED MODELS, 2018, 11 (05) : 1085 - 1123
[10] Regularization effect of the mixed-type damping in a higher-dimensional logarithmic Keller-Segel system related to crime modeling
Li, Bin
Wang, Zhi
Xie, Li
[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (03) : 4532 - 4559

← 1 2 3 4 5 →