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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| Format: | Others |
| Language: | en_US |
| Online Access: | http://ndltd.ncl.edu.tw/handle/60839046636967723155 |
| Summary: | 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.
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