The large-time solution of nonlinear evolution equations
University of Birmingham, 2015
Online
Hochschulschrift
Zugriff:
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' equation Ut + UUx - Uxx = 0. (ii) Burgers-Fisher equation Ut + 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.
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The large-time solution of nonlinear evolution equations
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Autor/in / Beteiligte Person: | Hanaç, Esen |
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Veröffentlichung: | University of Birmingham, 2015 |
Medientyp: | Hochschulschrift |
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