This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

We consider the critical Weber number (Wec≡ ρV20D/σ) at which the transition from
drip** to jetting occurs when a Newtonian liquid of density ρ and surface tension σ is …

Fronts that start from a local perturbation and propagate into a linearly unstable state come
in two classes: pulled fronts and pushed fronts. The term “pulled front” expresses that these …

A century after Henri Bénard discovered cellular convective structures, thermal convection in
fluid layers still remains a central subject in nonlinear physics. Within this framework, surface …

In these lecture notes, we discuss at an elementary level three themes concerning interface
dynamics that play a role in pattern forming systems:(i) We briefly review three examples of …

We study the transverse instability of a retracting liquid rim using a long wavelength
approximation model and full numerical simulations. We observe that the instability of the …

Natural soft materials harness hierarchy and structures at all scales to build function.
Adapting this paradigm to our technological needs, from mechanical, phononic and photonic …

It is well-established that the Coriolis force that acts on fluid in a rotating system can act to
stabilise otherwise unstable flows. Chandrasekhar considered theoretically the effect of the …

Abstract The Kuramoto-Sivashinsky (KS) equation is one of the simplest but generic
nonlinear equations in dissipative systems, such as hydrodynamics and moving interfaces …

Recent literature suggests that the droplets that form in horizontal-tube, falling-film absorbers
play a major role in the absorption process. The performance of such absorbers is critical to …