In this review we discuss bifurcation theory in a Banach space setting using the singularity
theory developed by Golubitsky and Schaeffer to classify bifurcation points. The numerical …

A collection of methods is presented to adapt a pre-existing timestepping code to perform
various bifurcation-theoretic tasks. It is shown that the implicit linear step of a time-stepping …

The interfacial convection in multilayer systems is a widespread phenomenon that is of great
importance in numerous branches of technology, including chemical engineering, space …

Stability analysis of double-diffusive convection for viscoelastic fluid with Soret effect in a
porous medium is investigated using a modified-Maxwell–Darcy model. We use the linear …

An extensive numerical investigation of the heat transport enhancement achieved by the
thermocapillary effect during the melting of Phase Change Materials in microgravity is …

We examine the combined effects of Soret and Dufour diffusion and porous impedance on
laminar magnetohydrodynamic mixed convection heat and mass transfer of an electrically …

A detailed numerical investigation of thermocapillary effects during the melting of phase-
change materials in microgravity is presented. The phase-change transition is analysed for …

This paper reports an analytical and numerical study of the natural convection in a horizontal
porous layer filled with a binary fluid. A uniform heat flux is applied to the horizontal walls …

Instabilities driven by diffusiophoretic flow on catalytic surfaces Page 1 J. Fluid Mech. (2021),
vol. 919, A10, doi:10.1017/jfm.2021.370 Instabilities driven by diffusiophoretic flow on catalytic …

Our contribution to the benchmark is multifold. In addition to providing accurate unsteady
simulations at the required Ra value of 3.4× 105, we determine accurately the three first …