Unique continuation for the Helmholtz equation using stabilized finite element methods
AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…
PDEs (numerical)
Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section
AbstractThe numerical calculation method of the “simplex” finite elemente is applied to the Marangoni flow undergone by the surfactant solutions,…
Surface mobility of surfactant solutions XII. Remarks concerning the Marangoni flow through an inclined surface canal
AbstractThe Marangoni flow of an incompressible viscous fluid through an inclined canal having triangular section and a free liquid/gas surface…
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…
Marangoni flow -induced by temperature gradients- against gravity forces
AbstractIn the present work a comparison in made between the authors’ experimental and numerically calculated data obtained in studying the…
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…
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…