The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

Macroscopic thin liquid films are entities that are important in biophysics, physics, and
engineering, as well as in natural settings. They can be composed of common liquids such …

The main goal of the book is generalization of the existing knowledges of the wavy flow of
falling thin liquid films and transfer processes in wave regimes. The methods of local …

This monograph provides a detailed review of the state-of-the-art theoretical (analytical and
numerical) methodologies for the analysis of dissipative wave dynamics and pattern …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

New models of film flows down inclined planes have been derived by combining a gradient
expansion at first or second order to weighted residual techniques with polynomials as test …

Through extensive numerical simulation, we have characterized the transition to chaos of
the solutions to the Kuramoto-Sivashinsky equation. The attracting solution manifolds …

Abstract The Kuramoto-Sivashinsky equations model pattern formations on unstable flame
fronts and thin hydrodynamic films. They are characterized by the coexistence of coherent …

Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave
dynamics have been carefully recorded in the last fifty years. Such waves are known to …