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- W928045137 abstract "In this thesis we use the method of matched asymptotic coordinate expansions to examine in detail the structure of the large-time solution of a range of initial-value and initial-boundary value problems based on Burgers' equation or the related Burgers-Fisher equation. The normalized nonlinear partial differential equations considered are:(i) Burgers' equationUt + UUx - Uxx = 0.(ii) Burgers-Fisher equationUt + kuux = Uxx + u( 1 - u).Here x and t represent dimensionless distance and time, respectively, while k (≠ 0) is a constant. In particular, we are interested in the emergence of coherent structures (for example: expansion waves, stationary states and travelling waves) in the large-time solution of the problems considered." @default.
- W928045137 created "2016-06-24" @default.
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- W928045137 date "2015-07-01" @default.
- W928045137 modified "2023-09-23" @default.
- W928045137 title "The large-time solution of nonlinear evolution equations" @default.
- W928045137 hasPublicationYear "2015" @default.
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