Geodesic
Global existence and blowup for free boundary problems of coupled reaction-diffusion systems
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a77/}
}
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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/