Turbulent convection processes in nature are often found to be organized in a hierarchy of
plume structures and flow patterns. The gradual aggregation of convection cells or granules …

We present spatially and temporally resolved velocity and acceleration measurements of
turbulent Rayleigh–Bénard convection (RBC) in the entire fluid sample of square horizontal …

The design, analysis and numerical simulations of a stabilized variable time-stepping
difference scheme, for the Swift–Hohenberg equation, are considered in this paper. The …

Turbulent superstructures, ie large-scale flow structures in turbulent flows, play a crucial role
in many geo-and astrophysical settings. In turbulent Rayleigh–Bénard convection, for …

The dynamics of the velocity gradient tensor in turbulence is governed in part by the
anisotropic pressure Hessian, which is a non-local functional of the velocity gradient field …

In this paper, an energy-stable finite element method with the Crank–Nicolson type of
temporal discretization scheme is developed and analyzed for a class of nonlinear fourth …

We use Homodyne Dynamic Light Scattering (HDLS) with a dual-laser beam setup to
investigate the drift velocities of colloidal particles immersed in a solvent exposed to …

A fully implicit numerical scheme is established for solving the time fractional Swift-
Hohenberg equation with a Caputo time derivative of order α∈(0, 1). The variable-step L1 …

The interior of cells, a fundamental building block of biological systems, is a heterogeneous
environment comprised of a multitude of molecular species. Its organization in the form of …

This book highlights the need for studying multi-state models analytically for understanding
the physics of molecular processes. An intuitive picture about recently solved models of …