## 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…

AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…

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…

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

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

AbstractSmooth concentration fields and balance equations for systems of random walkers are obtained by using the coarsegrained space‐time averaging method…

AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…

AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…

Abstract We use perturbed Steffensen-Aitken methods to approximate a locally unique solution of an operator equation in a Banach space. Using…

Abstract We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to…

Abstract We show that a new sufficient condition for the convergence with q-order two of the inexact Newton iterates may be…