A mathematical model for core-annular flows with surfactants.
A Nonconforming Finite Element Method to Compute the Spectrum of an Operator Relative to the Stability of a Plasma in Toroidal Geometry.
A problem in Rayleigh-Taylor instability
An analysis of stability concepts for the Navier-Stokes equations.
An optimal viscosity profile in the secondary oil recovery
Analysis of nonlinear dynamics for abrupt change of interphase structure in liquid-liquid mass transfer.
Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow
We prove a priori estimates for a linear system of partial differential equations originating from the equations for the flow of a barotropic compressible viscous fluid under the influence of the gravity it generates. These estimates will be used in a forthcoming paper to prove the nonlinear stability of the motionless, spherically symmetric equilibrium states of barotropic, self-gravitating viscous fluids with respect to perturbations of zero total angular momentum. These equilibrium states as...
Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid.
Asymptotic stability of an equilibrium for the gas dynamics model of charge transport in semiconductors.
Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid
Asymptotic stability theorems for viscous fluid motions in exterior domains
Bifurcation and numerical study in an EHD convection problem.
Bifurcation de Hopf d’ondes de choc pour les équations de Navier-Stokes compressible
Conditional stability and symmetry in hydrodinamics and mathematical biology
Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating
The impacts of the two-beam interference heating on the number of core-shell and embedded nanoparticles and on nanostructure coarsening are studied numerically based on the non-linear dynamical model for dewetting of the pulsed-laser irradiated, thin (< 20 nm) metallic bilayers. The model incorporates thermocapillary forces and disjoining pressures, and assumes dewetting from the optically transparent substrate atop of the reflective support layer,...
Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.
We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.
Convective Instability of Reaction Fronts in Porous Media
We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis.
Dense Granular Poiseuille Flow
We consider a dense granular shear flow in a two-dimensional system. Granular systems (composed of a large number of macroscopic particles) are far from equilibrium due to inelastic collisions between particles: an external driving is needed to maintain the motion of particles. Theoretical description of driven granular media is especially challenging for dense granular flows. This paper focuses on a gravity-driven dense granular Poiseuille flow...
Dynamics of a Reactive Thin Film
Consider the dynamics of a thin film flowing down an inclined plane under the action of gravity and in the presence of a first-order exothermic chemical reaction. The heat released by the reaction induces a thermocapillary Marangoni instability on the film surface while the film evolution affects the reaction by influencing heat/mass transport through convection. The main parameter characterizing the reaction-diffusion process is the Damköhler number. We investigate the complete range of Damköhler...
Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid.