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Method of the blowup envelope and applications. (English) Zbl 1141.35315
Kozono, Hideo (ed.) et al., Asymptotic analysis and singularities. Elliptic and parabolic PDEs and related problems. Papers of the 14th International Research Institute of the Mathematical Society of Japan (MSJ), Sendai, Japan, July, 18–27, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-41-9/hbk). Advanced Studies in Pure Mathematics 47-2, 519-542 (2007).
Summary: We describe the proof of mass quantization of collapse in the simplified system of chemotaxis, and study the blowup rate in connection with the free energy transmission (emergence).
For the entire collection see [Zbl 1130.35004].
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
92C17 Cell movement (chemotaxis, etc.)