Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source-Reference-Cited by-同舟云学术

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Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source

Published:2019-10 Issue: Volume:49 Page:286-311
ISSN:1468-1218
Container-title:Nonlinear Analysis: Real World Applications
language:en
Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Ding Mengyao,Wang Wei,Zhou Shulin

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference32 articles.

1. Initiation of slime mold aggregation viewed as an instability;Keller;J. Theoret. Biol.,1970

2. Finite dimensional attractor for one-dimensional Keller–Segel equations;Osaki;Funkcial. Ekvac.,2001

3. Application of the trudinger-moser inequality to a parabolic system of chemotaxis;Nagai;Funkcial. Ekvac.,1997

4. A blow-up mechanism for a chemotaxis model;Herrero;Ann. Sc. Norm. Super Pisa Cl. Sci.,1997

5. N. Mizoguchi, M. Winkler, Finite-time blow-up in the two-dimensional Keller–Segel system, preprint.

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3. Global existence and boundedness in a chemotaxis model with singular sensitivity and nonlocal term;Zeitschrift für angewandte Mathematik und Physik;2024-08-05

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