The shooting method in establishment of concentration profiles in diffusive boundary layer
Abstract A viscous incompressible fluid reacts chemically with a rotating disk. We establish the diffusion equation in the boundary layer…
Marangoni flow -induced by temperature gradients- against gravity forces
Abstract In the present work a comparison in made between the authors experimental and numerically calculated data obrained in studying…
On the motion of a drop due to a surface tension gradient
Abstract The motion at low Reynolds numbers of a liquid drop in a quiescent unbounded liquid due to a surface…
Surface mobility of surfactant solutions XVII. Determination of Marangoni rate of flow in simulated zero gravity conditions
Abstract Values of the Marangoni rates of flow experimentally determined for a thin liquid pellicle found in inclined canals have…
On the bifurcation of the null solutions of some 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
Abstract In this paper we use a lubrication approximation in order to investigate the flow of a thin layer of…
Notes on the convex functions of higher order (IX)
Abstract This is the paper where the cardinal splines are conceived for the first time for approximating. Authors Tiberiu Popoviciu…
On the prolongation of convex functions of higher order
Abstract This is the paper where the B-splines on nonuniform grid are introduced and studied for the first time. The…
On the Marangoni flow on an inclined plane
Abstract We consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven…
On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…