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Modelling the evolution of ideal, infinite domain patterns, on a finite domain using a Perfectly Matched Layer
(Master thesis; Mastergradsoppgave, 2016-01-28)
The Swift-Hohenberg equation is an evolution equation which can produce a Pattern, or a pattern-like picture, to be more precise. For example, it could be used to model some simple natural patterns, like stripes and rolls that one may observe in a Rayleigh-Benard convection experiment. But for any pattern formation obtained by an evolution equation to look ideal, we have to consider this equation ...