Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption

Author:

Jin Chunhua

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference35 articles.

1. Adler, J.: Chemotaxis in bacteria. Science 153, 708–716 (1966)

2. Adler, J.: Chemoreceptors in bacteria. Science 166, 1588–1597 (1969)

3. Blanchet, A., Dolbeault, J., Perthame, B.: Two-dimensional Keller–Segel model: optimal critical mass and qualitative properties of the solutions. Electron. J. Differ. Equ., No. 44, p. 32 (2006)

4. Courant, R., Hilbert, D.: Methods of Mathematical Physics, Vol.1, 1st English Edition, Interscience, New York-London, Chap VI (1953)

5. Dolbeault, J., Perthame, B.: Optimal critical mass in the two-dimensional Keller–Segel model in $${\mathbb{R} }^2$$. C. R. Math. Acad. Sci. Paris 339, 611–616 (2004)

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