Existence and Uniqueness of Traveling Waves for a Monostable 2-D Lattice Dynamical System

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dc.contributor郭忠勝zh_TW
dc.contributorJong-Shenq Guoen_US
dc.contributor.author吳昌鴻zh_TW
dc.contributor.authorChang-Hong Wuen_US
dc.date.accessioned2019-09-05T01:13:34Z
dc.date.available2007-6-20
dc.date.available2019-09-05T01:13:34Z
dc.date.issued2007
dc.description.abstract我們研究二維度的單穩定型格子動態系統的行進波。首先我們證明存在一個最小的速度使得行進波存在的充分必要條件是行進波的速度大於或等於此最小的速度。然後我們證明給定一個速度後，在不考慮平移的情況下，行進波的波形是唯一的。更進一步的，我們知道行進波的波形是嚴格單調的。zh_TW
dc.description.abstractWe study traveling waves for a two-dimensional lattice dynamical system with monostable nonlinearity. We first prove that there is a minimal speed such that a traveling wave exists if and only if its speed is above this minimal speed. Then we show the uniqueness (up to translations) of wave profile for each given speed. Moreover, any wave profile is strictly monotone.en_US
dc.description.sponsorship數學系zh_TW
dc.identifierGN0694400058
dc.identifier.urihttp://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0694400058%22.&%22.id.&
dc.identifier.urihttp://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101739
dc.language英文
dc.subject格子動態系統zh_TW
dc.subject單穩定型zh_TW
dc.subject行進波zh_TW
dc.subject波速zh_TW
dc.subject波形zh_TW
dc.subjectLattice dynamical systemen_US
dc.subjectmonostableen_US
dc.subjecttraveling waveen_US
dc.subjectwave speeden_US
dc.subjectwave profileen_US
dc.titleExistence and Uniqueness of Traveling Waves for a Monostable 2-D Lattice Dynamical Systemzh_TW

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