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Russian Mathematical Surveys, 2005, Volume 60, Issue 6, Pages 1217–1235
DOI: https://doi.org/10.1070/RM2005v060n06ABEH004289 (Mi rm1684) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Reaction versus diffusion: blow-up induced and inhibited by diffusivity

M. Filaa, H. Ninomiyab

a Comenius University
b Ryukoku University
English version PDF (244 kB) Citations (22)
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DOI: https://doi.org/10.1070/RM2005v060n06ABEH004289
Abstract: A survey is given of results on the relation of the dynamics of a system of ordinary differential equations to the dynamics of the corresponding reaction-diffusion system when diffusion is added. The main interest here is in the influence of diffusion on the global existence of solutions. Examples are presented of systems where diffusion induces or inhibits blow-up.
Received: 02.10.2005
Russian version:
Uspekhi Matematicheskikh Nauk, 2005, Volume 60, Issue 6(366), Pages 207–226
DOI: https://doi.org/10.4213/rm1684
Bibliographic databases:
Document Type: Article
UDC: 517.947
MSC: Primary 35K57, 35B35; Secondary 34D23, 35A05, 35B41, 34D45
Language: English
Original paper language: Russian
Citation: M. Fila, H. Ninomiya, “Reaction versus diffusion: blow-up induced and inhibited by diffusivity”, Uspekhi Mat. Nauk, 60:6(366) (2005), 207–226; Russian Math. Surveys, 60:6 (2005), 1217–1235
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v60/i6/p207
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:67
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