Boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant

被引：35

作者：

Baghaei, Khadijeh ^{[1
]}

Khelghati, Ali ^{[2
]}

机构：

[1] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[2] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 06期

关键词：

BLOW-UP;

D O I：

10.1016/j.crma.2017.04.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：633 / 639

页数：7

共 14 条

[1]

[Anonymous], ARXIV160807991V1

[2]

[Anonymous], FUNKC EKVACIOJ

[3]

[Anonymous], MATH METHODS APPL SC

[4] Blow-up in a chemotaxis model without symmetry assumptions [J].

Horstmann, D ;

Wang, GF .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2001, 12 :159-177

[5] INITIATION OF SLIME MOLD AGGREGATION VIEWED AS AN INSTABILITY [J].

KELLER, EF ;

SEGEL, LA .

JOURNAL OF THEORETICAL BIOLOGY, 1970, 26 (03) :399-&

[6] Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms [J].

Li, Tong ;

Suen, Anthony ;

Winkler, Michael ;

Xue, Chuan .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (04) :721-746

[7]

Nagai T., 1997, APPL TRUDINGER MOSER, V40, P411

[8] Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant [J].

Tao, Youshan ;

Winkler, Michael .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (03) :2520-2543

[9] Boundedness in a chemotaxis model with oxygen consumption by bacteria [J].

Tao, Youshan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) :521-529

[10] Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system [J].

Winkler, Michael .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 100 (05) :748-767

← 1 2 →