ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem

ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem

碩士 === 國立臺灣師範大學 === 數學系 === 95 === We 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 (u...

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Bibliographic Details
Main Authors: Chang-Hong Wu, 吳昌鴻
Other Authors: Jong-Shenq Guo
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/60839046636967723155
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spelling ndltd-TW-095NTNU54790112016-05-23T04:17:31Z http://ndltd.ncl.edu.tw/handle/60839046636967723155 ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem Chang-Hong Wu 吳昌鴻 碩士 國立臺灣師範大學 數學系 95 We 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. Jong-Shenq Guo 郭忠勝 學位論文 ; thesis 19 en_US
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language en_US
format Others
sources NDLTD
description 碩士 === 國立臺灣師範大學 === 數學系 === 95 === We 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.
author2 Jong-Shenq Guo
author_facet Jong-Shenq Guo
Chang-Hong Wu
吳昌鴻
author Chang-Hong Wu
吳昌鴻
spellingShingle Chang-Hong Wu
吳昌鴻
ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
author_sort Chang-Hong Wu
title ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
title_short ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
title_full ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
title_fullStr ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
title_full_unstemmed ExistenceandUniquenessofTravelingWavesforaMonostable2-DLatticeDynamicalSystem
title_sort existenceanduniquenessoftravelingwavesforamonostable2-dlatticedynamicalsystem
url http://ndltd.ncl.edu.tw/handle/60839046636967723155
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AT wúchānghóng existenceanduniquenessoftravelingwavesforamonostable2dlatticedynamicalsystem
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