Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries

Jian Yang

Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries

Analysis of PDEs 2013-12-17 v1

Authors: Jian Yang

Abstract

In this paper, we study a competitive model involving two species. When the competition is strong enough, the two species are separated by a free boundary. If the initial data has a positive bound at infinity. We prove that the solution will converge, as $t\rightarrow \infty$ , to the traveling wave solution and the free boundary will move to infinity with a constant speed.

Keywords

competitive model free boundary asymptotic behavior traveling wave solution convergence reaction-diffusion systems

Cite

@article{arxiv.1312.4217,
  title  = {Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries},
  author = {Jian Yang},
  journal= {arXiv preprint arXiv:1312.4217},
  year   = {2013}
}

Comments

20 pages

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