TY - JOUR
T1 - Fast reaction limit of a three-component reaction-diffusion system
AU - Murakawa, H.
AU - Ninomiya, H.
N1 - Funding Information:
The authors would like to thank Professor Danielle Hilhorst for her careful reading of the manuscript and for her numerous suggestions for improving the exposition of this paper. The first author is partially supported by Grant-in-Aid for Young Scientists (B) (No. 22740058), the Ministry of Education, Culture, Sports, Science and Technology of Japan. The last author is supported in part by Grant-in-Aid for Scientific Research (C) (No. 20540144), Japan Society for the Promotion of Science.
PY - 2011/7/1
Y1 - 2011/7/1
N2 - We consider a three-component reaction-diffusion system with a reaction rate parameter, and investigate its singular limit as the reaction rate tends to infinity. The limit problem is given by a free boundary problem which possesses three regions separated by the free boundaries. One component vanishes and the other two components remain positive in each region. Therefore, the dynamics is governed by a system of two equations.
AB - We consider a three-component reaction-diffusion system with a reaction rate parameter, and investigate its singular limit as the reaction rate tends to infinity. The limit problem is given by a free boundary problem which possesses three regions separated by the free boundaries. One component vanishes and the other two components remain positive in each region. Therefore, the dynamics is governed by a system of two equations.
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U2 - 10.1016/j.jmaa.2010.12.040
DO - 10.1016/j.jmaa.2010.12.040
M3 - Article
AN - SCOPUS:79952191463
SN - 0022-247X
VL - 379
SP - 150
EP - 170
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -