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Derivation of hyperbolic models for chemosensitive movement

✍ Scribed by Francis Filbet; Philippe Laurençot; Benoît Perthame

Book ID
105998371
Publisher
Springer
Year
2004
Tongue
English
Weight
467 KB
Volume
50
Category
Article
ISSN
0303-6812

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📜 SIMILAR VOLUMES

Existence of Weak Solutions for a Hyperb
Existence of Weak Solutions for a Hyperbolic Model of Chemosensitive Movement
✍ Thomas Hillen; Christian Rohde; Frithjof Lutscher 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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