## Abstract Osaki and Yagi (2001) give a proof of global existence for the classical chemotaxis model in one space dimension with use of energy estimates. Here we present an alternative proof which uses the regularity properties of the heat‐equation semigroup. With this method we can identify a lar
One-dimensional chemotaxis kinetic model
✍ Scribed by Mohsen Sharifi tabar
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 543 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper we study the Cauchy problem for the fractional diffusion equation __u__~__t__~ + (−Δ)^α/2^__u__=∇·(__u__∇(Δ^−1^__u__)), generalizing the Keller–Segel model of chemotaxis, for the initial data __u__~0~ in critical Besov spaces __Ḃ__(ℝ^2^) with __r__∈[1, ∞], where 1<α<2. Mak
## Abstract A 1‐D theoretical model based on Darcy's law and conservation of mass was used to describe transient filtration on a basket centrifuge for both compressible and incompressible cakes. This filtration model was validated assuming that a liquid layer lay above the surface of the cake. Both