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Approximation of Hyperbolic Models for Chemosensitive Movement

โœ Scribed by Filbet, Francis; Shu, Chi-Wang


Book ID
118189905
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
593 KB
Volume
27
Category
Article
ISSN
1064-8275

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Existence of Weak Solutions for a Hyperb
โœ Thomas Hillen; Christian Rohde; Frithjof Lutscher ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

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