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…
PDEs (numerical)
On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient
AbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…
On the bifurcation of the null solutions of some mildly nonlinear elliptic boundary value problems
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,\ \…
On the Marangoni and gravity flow in an inclined channel of an arbitrary section
AbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…
On the Marangoni flow on an inclined plane
AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
FEM and/or BEM for numerical simulation of Marangoni flow
AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…
The numerical approximation to positive solution for some reaction-diffusion problems
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…
Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects
AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…
Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk
AbstractA viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify…
On the bifurcation and variational approximation of the positive solution of a nonlinear reaction-diffusion problem
Abstract We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion processes. When the reaction term has…