Geodesic
Some remarks on well-posedness of the higher-dimensional chemorepulsion system
Tomasz Cieślak 1   ; Kentarou Fujie 2
1 Institute of Mathematics Polish Academy of Sciences 00-656 Warszawa, Poland
2 Research Alliance Center for Mathematical Sciences Tohoku University Sendai, 980-8578, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 67 (2019) no. 2, pp. 165-178 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider a fully parabolic system of chemorepulsion in higher dimensions. We introduce a new energy-like identity and comment on its relation to the Li–Yau–Hamilton inequalities. Next, we show that for the chemorepellent moving much more slowly than the cells, the time global well-posedness holds.
DOI : 10.4064/ba190324-4-6
Keywords: consider fully parabolic system chemorepulsion higher dimensions introduce energy like identity comment its relation yau hamilton inequalities chemorepellent moving much slowly cells time global well posedness holds

Tomasz Cieślak  1   ; Kentarou Fujie  2

1 Institute of Mathematics Polish Academy of Sciences 00-656 Warszawa, Poland
2 Research Alliance Center for Mathematical Sciences Tohoku University Sendai, 980-8578, Japan 
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Tomasz Cieślak; Kentarou Fujie. Some remarks on well-posedness of the higher-dimensional chemorepulsion system. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 67 (2019) no. 2, pp. 165-178. doi: 10.4064/ba190324-4-6

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