## Some remarks concerning the Marangoni flow on an inclined plane

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

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…

AbstractA viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify…

Abstract We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion processes. When the reaction term has…