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Asymptotic behavior of solutions of free boundary problem with logistic reaction term
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نویسنده
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cai j.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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We study a free boundary problem for a reaction diffusion equation modeling the spreading of a biological or chemical species. in this model,the free boundary represents the spreading front of the species. we discuss the asymptotic behavior of bounded solutions and obtain a trichotomy result: spreading (the free boundary tends to + ∞ and the solution converges to a stationary solution defined on [ 0 + ∞)),transition (the free boundary stays in a bounded interval and the solution converges to a stationary solution with positive compact support),and vanishing (the free boundary converges to 0 and the solution tends to 0 within a finite time). © 2014 jingjing cai.
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آدرس
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school of mathematics and physics,shanghai university of electric power,pingliang road 2103, China
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Authors
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