## A Chebyshev-Galerkin method for fourth order problems

AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…

AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…

AbstractIn the present work a comparison in made between the authors’ experimental and numerically calculated data obtained in studying the…

AbstractWe consider a thin liquid layer of a transverse triangular section, situated on an inclined solid plane. On the liquid-gas…

AbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…

Abstract Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem: \begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \…

AbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…

AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…

AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…

Abstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…

AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…