In this work we investigate the effect of density-dependent nonlinear diffusion on pattern
formation in the Brusselator system. Through linear stability analysis of the basic solution we …

Self-sustained reaction fronts in a disordered medium subject to an external flow display self-
affine roughening, pinning, and depinning transitions. We measure spatial and temporal …

The ability for reactive constituents to mix is often the key limiting factor for the completion of
reactions across a huge range of scales in a variety of media. In flowing systems …

Fluid instabilities can be harnessed for facile self-assembly of patterned structures on the
nano-and microscale. Evaporative self-assembly from drops is one simple technique that …

In this paper the Turing pattern formation mechanism of a two components reaction-diffusion
system modeling the Schnakenberg chemical reaction is considered. In Ref.(Madzavamuse …

This is a brief survey of recent experimental studies on out-of-equilibrium scaling laws,
focusing on two prominent situations where nontrivial universality classes have been …

The intermittent burst dynamics during the slow drainage of a porous medium is studied
experimentally. We have shown that this system satisfies a set of conditions known to be true …

We investigate an off-lattice Eden model where the growth of new cells is performed with a
probability dependent on the availability of resources coming externally towards the growing …

We analyse the complex dynamics arising in a one-dimensional bistable advection–reaction–
diffusion equation on a bounded annular domain, along with its simplest nontrivial …

We present an algorithm for measuring the speed and thickness of reaction fronts, and from
those quantities, the diffusivity and the reaction rate of the active chemical species. This front …