The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics

We study a prototypical example in nonlinear dynamics where transition to self-similarity in a singular limit is fundamentally changed as a parameter is varied. Here, we focus on the complicated dynamics that occur in a generalised unstable thin-film equation that yields finite-time rupture. A param...

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Bibliographic Details
Main Authors: Chapman, SJ, Dallaston, MC, Kalliadasis, S, Trinh, PH, Witelski, TP
Format: Journal article
Language:English
Published: Elsevier 2023