EFFECT OF INTERMOLECULAR FORCES ON THIN FILM INSTABILITY
, 2018 We consider the effect of van der Waals intermolecular forces on instability problems occurring in thin liquid film pattern formation induced by an electric field.
E. Tian
semanticscholar +1 more source
Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Open Physics, 2016 The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
doaj +1 more source
Numerical study of a thin liquid film flowing down an inclined wavy plane [PDF]
, 2011 International audienceWe investigate the stability of a thin liquid film flowing down an inclined wavy plane using a direct numerical solver based on a finite element/arbitrary Lagrangian Eulerian approximation of the free-surface Navier--Stokes ...
Ern, Alexandre +2 more
core +5 more sources
CONTROL OF INTERFACE PATTERNING IN SOFT THIN FILMS
, 2016 A global feedback control applied on thin film surface pattering induced by the electric field is studied theoretically near the threshold of instability.
E. Tian
semanticscholar +1 more source
Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
doaj +1 more source
Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
doaj +1 more source
Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation [PDF]
, 2017 A contraction metric for an autonomous ordinary differential equation is a Riemannian metric such that the distance between adjacent solutions contracts over time.
A. Iske +23 more
core +1 more source
Control of bifurcation structures using shape optimization [PDF]
, 2021 Many problems in engineering can be understood as controlling the bifurcation structure of a given device. For example, one may wish to delay the onset of instability or bring forward a bifurcation to enable rapid switching between states.
Boullé, Nicolas +2 more
core +3 more sources
An invariance kernel representation of ISDS Lyapunov functions [PDF]
, 2005 We apply set valued analysis techniques in order to characterize the input-to-state dynamical stability (ISDS) property, a variant of the well known input-to-state stability (ISS) property. Using a suitable augmented differential inclusion we are able to
Grüne, Lars, Saint-Pierre, Patrick
core +1 more source
Dynamics of chains grafted on solid wall during polymer melt extrusion [PDF]
, 2003 The objective of the present work is the mathematical modeling of the dynamics of polymer molecules grafted on a solid boundary during polymer melt extrusion.
Molenaar, J. +2 more
core +1 more source