This article considers additional phenomena that complement the earlier topics addressed
by Ibrahim [(Liquid Sloshing Dynamics: Theory and Applications. Cambridge University …

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field
description of crystallization in active systems. It combines the PFC model (or conserved …

The conserved Swift-Hohenberg equation (or phase-field-crystal [PFC] model) provides a
simple microscopic description of the thermodynamic transition between fluid and crystalline …

Abstract Systems of coupled nonlinear oscillators often exhibit states of partial synchrony in
which some of the oscillators oscillate coherently while the rest remain incoherent. If such a …

We consider simple mean field continuum models for first order liquid–liquid demixing and
solid–liquid phase transitions and show how the Maxwell construction at phase coexistence …

Spatially localized structures in the one-dimensional Gray–Scott reaction–diffusion model
are studied using a combination of numerical continuation techniques and weakly nonlinear …

Abstract The passive conserved Swift–Hohenberg equation (or phase-field-crystal [PFC]
model) describes gradient dynamics of a single-order parameter field related to density. It …

The instability of Faraday waves in Hele-Shaw cells is investigated experimentally and
theoretically. A novel hydrodynamic model involving capillary action is proposed to capture …

The active Phase-Field-Crystal (aPFC) model combines elements of the Toner–Tu theory for
self-propelled particles and the classical Phase-Field-Crystal (PFC) model that describes the …

An activator–inhibitor–substrate model of side branching used in the context of pulmonary
vascular and lung development is considered on the supposition that spatially localized …