Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis

Author:

Biler Piotr,Corrias Lucilla,Dolbeault Jean

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Reference20 articles.

1. Biler P (1998) Local and global solvability of some parabolic systems modelling chemotaxis. Adv Math Sci Appl 8(2): 715–743

2. Biler P (2006) A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. In: Self-similar solutions of nonlinear PDE, vol 74. Banach Center Publications, Polish Academy of Sciences, Warsaw, pp 33–40

3. Biler P, Karch G, Laurençot P, Nadzieja T (2006) The 8 π-problem for radially symmetric solutions of a chemotaxis model in the plane. Math Methods Appl Sci 29(13): 1563–1583

4. Blanchet A, Carrillo JA, Masmoudi N (2008) Infinite time aggregation for the critical Patlak-Keller-Segel model in $${\mathbb{R}^2}$$ . Comm Pure Appl Math 61(10): 1449–1481

5. Blanchet A, Dolbeault J, Perthame B (2006) Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions. Electron J Differ Equ 44: 32

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