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Existence of Weak Solutions for a Hyperbolic Model of Chemosensitive Movement

✍ Scribed by Thomas Hillen; Christian Rohde; Frithjof Lutscher

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 320 KB
Volume: 260
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7447

No coin nor oath required. For personal study only.

✦ Synopsis

of moving swarms. A notion of weak solutions for this hyperbolic chemotaxis model is presented and the global existence of weak solutions is shown. The proof relies on the vanishing viscosity method; i.e., we obtain the weak solution as the limit of classical solutions of an associated parabolically regularized problem for vanishing viscosity parameter. Numerical simulations demonstrate phenomena like swarming behaviour and formation of steep gradients. 2001 Academic Press

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