Invariant states in inclined layer convection. Part 1. Temporal transitions along dynamical connections between invariant states

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Stability of a liquid layer draining around a horizontal cylinder: Interplay of capillary and gravity forces

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We study the drainage of a viscous liquid film coating the outside of a solid horizontal cylinder, where gravity acts vertically. We focus on the limit of large Ohnesorge numbers Oh, where inertia is negligible compared to viscous effects. We first study t ...

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Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

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Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through the numerical approximation of differential equ ...

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Identifying invariant solutions of wall-bounded three-dimensional shear flows using robust adjoint-based variational techniques

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Invariant solutions of the Navier-Stokes equations play an important role in the spatiotemporally chaotic dynamics of turbulent shear flows. Despite the significance of these solutions, their identification remains a computational challenge, rendering many ...

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Exploration of the parameter space for the excitation and saturation of Edge Harmonic Oscillations

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Liquid film instability of an internally coated horizontal tube

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Inferring free-energy barriers and kinetic rates from molecular dynamics via underdamped Langevin models

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Rare events include many of the most interesting transformation processes in condensed matter, from phase transitions to biomolecular conformational changes to chemical reactions. Access to the corresponding mechanisms, free-energy landscapes and kinetic r ...

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Identifying invariant solutions of wall-bounded three-dimensional shear flows using robust adjoint-based variational techniques

Tobias Schneider, Omid Ashtari

Cambridge University Press2023