EXISTENCE OF BLOW-UP SOLUTIONS FOR A DEGENERATE PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEM WITH LOGISTIC SOURCE

被引：2

作者：

Tanaka, Yuya ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, 1-3 Kagurazaka,Shinjuku Ku, Tokyo 1628601, Japan

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 02期

关键词：

degenerate Keller-Segel system; logistic source;

D O I：

10.5817/AM2023-2-223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic-elliptic Keller-Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jager-Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller-Segel system with logistic source.

引用

页码：223 / 230

页数：8

共 50 条

[31] EXACT CRITERION FOR GLOBAL EXISTENCE AND BLOW UP TO A DEGENERATE KELLER-SEGEL SYSTEM
Chen, Li
Wang, Jinhuan
DOCUMENTA MATHEMATICA, 2014, 19 : 103 - 120
[32] A lower bound for blow-up time in a fully parabolic Keller-Segel system
Li, Jingru
Zheng, Sining
APPLIED MATHEMATICS LETTERS, 2013, 26 (04) : 510 - 514
[33] Spatial Analyticity of Solutions to Keller-Segel Equation of Parabolic-Elliptic Type
Yang Minghua
Sun, Jinyi
RESULTS IN MATHEMATICS, 2017, 72 (04) : 1653 - 1681
[34] Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?
Salako, Rachidi B.
Shen, Wenxian
Xue, Shuwen
JOURNAL OF MATHEMATICAL BIOLOGY, 2019, 79 (04) : 1455 - 1490
[35] A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
Zheng, Jiashan
Li, YanYan
Bao, Gui
Zou, Xinhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 1 - 25
[36] On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
Biler, Piotr
Brandolese, Lorenzo
STUDIA MATHEMATICA, 2009, 193 (03) : 241 - 261
[37] Boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with a logistic source
Zheng, Jiashan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (02) : 867 - 888
[38] Maximal Lorentz regularity for the Keller-Segel system of parabolic-elliptic type
Takeuchi, Taiki
JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (04) : 4619 - 4640
[39] Blow-up profiles in quasilinear fully parabolic Keller-Segel systems
Fuest, Mario
NONLINEARITY, 2020, 33 (05) : 2306 - 2334
[40] BLOW-UP IN FINITE OR INFINITE TIME FOR QUASILINEAR DEGENERATE KELLER-SEGEL SYSTEMS OF PARABOLIC-PARABOLIC TYPE
Ishida, Sachiko
Yokota, Tomomi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (10): : 2569 - 2596

← 1 2 3 4 5 →