Geodesic
Global existence and blowup for free boundary problems of coupled reaction-diffusion systems
Electronic journal of differential equations, Tome 2014 (2014)
This article concerns a free boundary problem for a reaction-diffusion system modeling the cooperative interaction of two diffusion biological species in one space dimension. First we show the existence and uniqueness of a local classical solution, then we study the asymptotic behavior of the free boundary problem. Our results show that the free boundary problem admits a global solution if the inter-specific competitions are strong, while, if the inter-specific competitions are weak, there exist the blowup solution and a global fast solution.
Classification : 35K20, 35R35
Keywords: free boundary, ecology, interface, existence, blowup 
@article{EJDE_2014__2014__a77,
     author = {Sun,  Jianping and Lu,  Haihua and Gan,  Shuanglong and Chen,  Lang},
     title = {Global existence and blowup for free boundary problems of coupled reaction-diffusion systems},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1297.35295},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a77/}
}
TY  - JOUR
AU  - Sun,  Jianping
AU  - Lu,  Haihua
AU  - Gan,  Shuanglong
AU  - Chen,  Lang
TI  - Global existence and blowup for free boundary problems of coupled reaction-diffusion systems
JO  - Electronic journal of differential equations
PY  - 2014
VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a77/
LA  - en
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%0 Journal Article
%A Sun,  Jianping
%A Lu,  Haihua
%A Gan,  Shuanglong
%A Chen,  Lang
%T Global existence and blowup for free boundary problems of coupled reaction-diffusion systems
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a77/
%G en
%F EJDE_2014__2014__a77
Sun,  Jianping; Lu,  Haihua; Gan,  Shuanglong; Chen,  Lang. Global existence and blowup for free boundary problems of coupled reaction-diffusion systems. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a77/