## 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,\ \…

## Comment on ”Numerical analysis for the effect of surfactants on a circular liquid lens (I)”

AbstractWe comment on the definition of the surface tension gradient when of the surface of a liquid drop a surfactant…

## A modified Chebyshev-tau method for a hydrodynamic stability problem

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

## 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 are taken into account. On the liquid/gas…

## Balance equations for a finite number of particles

AbstractIn this article an abstract discrete system is considered, consisting of an arbitrary, finite numer of particles modelled as mathematical…

## Balance equations for physical systems with corpuscular structure

AbstractThe usual method in nonequilibrium statistical mechanics allows the derivation of the balance equations only for the collision invariants (mass,…

## Critical parameters governing the mobility and fate of pesticides in soil/aquifer systems

Abstract   AuthorsH. Vereecken U. Jaekel C. Mouvet C. Moreau P. Burauel M. Dust D. J. Kim D. Jacques J.…

## On the Chebyshev method for approximating the eigenvalues of linear operators

Abstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…

## A note on inexact secant methods

Abstract The inexact secant method $$[x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k$$, $$x_{k+1}=x_k+s_k$$, $$k=1,2,\ldots$$, $$x_0,x_1 \in {\mathbb R}^n$$ is considered for solving the nonlinear…