All Outputs (2)

Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions (2018)
Journal Article
Tomlin, R. J., Kalogirou, A., & Papageorgiou, D. T. (2018). Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2211), 20170687. https://doi.org/10.1098/rspa.2017.0687

A Kuramoto–Sivashinsky equation in two space dimensions arising in thin film flows is considered on doubly periodic domains. In the absence of dispersive effects, this anisotropic equation admits chaotic solutions for sufficiently large length scales... Read More about Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions.

Instability of two-layer film flows due to the interacting effects of surfactants, inertia, and gravity (2018)
Journal Article
Kalogirou, A. (2018). Instability of two-layer film flows due to the interacting effects of surfactants, inertia, and gravity. Physics of Fluids, 30(3), Article 030707. https://doi.org/10.1063/1.5010896

We consider a two-fluid shear flow where the interface between the two fluids is coated with an insoluble surfactant. An asymptotic model is derived in the thin-layer approximation, consisting of a set of nonlinear partial differential equations desc... Read More about Instability of two-layer film flows due to the interacting effects of surfactants, inertia, and gravity.