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Title: The large-time solution of nonlinear evolution equations
Author: Hanaç, Esen
ISNI:       0000 0004 5367 8579
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2015
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics