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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/109366


    Title: ASYMPTOTIC ANALYSIS OF A MONOSTABLE EQUATION IN PERIODIC MEDIA
    Authors: Alfaro, Matthieu;Giletti, Thomas
    Date: 2016-03
    Issue Date: 2017-01-17 10:12:39 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: We consider a multidimensional monostable reaction-diffusion equation whose nonlinearity involves periodic heterogeneity. This serves as a model of invasion for a population facing spatial heterogeneities. As a rescaling parameter tends to zero, we prove the convergence to a limit interface, whose motion is governed by the minimal speed (in each direction) of the underlying pulsating fronts. This dependance of the speed on the (moving) normal direction is in contrast with the homogeneous case and makes the analysis quite involved. Key ingredients are the recent improvement \cite{A-Gil} %[4]of the well-known spreading properties \cite{Wein02}, %[32], \cite{Ber-Ham-02}, %[9],and the solution of a Hamilton-Jacobi equation.
    Relation: Tamkang Journal of Mathematics 47(1), pp.1-26
    DOI: 10.5556/j.tkjm.47.2016.1872
    Appears in Collections:[淡江數學期刊] 第47卷第1期

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