Dynamical properties of a nonlinear Kuramoto-Sivashinsky growth equation

The conserved Kuramoto-Sivashinsky equation can be considered as the one- and twodimensional evolution equation for amorphous thin film growth. The role of the nonlinear term Dojruj2THORN and the properties of the solutions are investigated analytically and numerically. Analytical results of wavelength and amplitude are provided. Numerical simulations of this equation are presented, showing the roughening and coarsening of the surface pattern and the evolution of the surface morphology over time for different parameter values in one- and two-dimensions. (C)2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

The conservative Kuramoto-Sivashinsky equation is studied as an evolution equation for amorphous thin film growth in one and two dimensions. Analytical and numerical investigations are conducted on the role of the nonlinear term and solution properties, providing analytical results on wavelength and amplitude. Numerical simulations show the roughening and coarsening of surface patterns and the evolution of surface morphology over time for different parameter values in one and two dimensions.