Jianping Sun, Haihua Lu, Shuanglong Gan, Lang Chen
Abstract:
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.
Submitted February 28, 2014. Published May 8, 2014.
Math Subject Classifications: 35K20, 35R35.
Key Words: Free boundary; ecology; interface; existence; blowup.
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Jianping Sun School of science, Nantong University Nantong 226007, China email: jpsun@ntu.edu.cn |
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Haihua Lu School of science, Nantong University Nantong 226007, China email: haihualu_ntu@163.com |
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Shuanglong Gan School of science, Nantong University Nantong 226007, China email: 1102072021@lxy.ntu.edu.cn |
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Lang Chen School of science, Nantong University Nantong 226007, China email: 814653119@qq.com |
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