Published January 1, 2013 | Version v1
Journal article Metadata-only

A study of blow-ups in the Keller–Segel model of chemotaxis

Creators

  • 1. Department of Mathematics, University of Arizona (United States)

Description

We study the Keller–Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to resolve and propagate singular solutions. We compare the numerical findings (in two dimensions) with analytical predictions regarding formation and interaction of singularities obtained through analysis of the stochastic differential equations associated with the model. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/26/1/81

Additional details

Identifiers

DOI
10.1088/0951-7715/26/1/81;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
26
Journal Issue
1
Journal Page Range
p. 81-94
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46002408
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CALCULATION METHODS; COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; SINGULARITY; STOCHASTIC PROCESSES
Descriptors DEC
EQUATIONS; EVALUATION