Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.
Qualitative investigation of nonlinear differential equations describing infiltration of water
A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Qualitative properties of a certain kinetic model of a binary gas.
Qualitative Properties of Navier-Stokes Equations
Qualitative properties of separating flows in the Prandtl boundary layer.
Qualitative properties of the free-boundary of the Reynolds equation in lubrication.
The hydrodynamic lubrication of a cylindrical bearing is governed by the Reynolds equation that must be satisfied by the pressure of lubricating oil. When cavitation occurrs we are carried to an elliptic free-boundary problem where the free-boundary separates the lubricated region from the cavited region.Some qualitative properties are obtained about the shape of the free-boundary as well as the localization of the cavited region.
Qualitative properties of the solutions to the Navier-Stokes equations for compressible fluids
Quando è possibile formare bolle in un fluido, e quando no
Bubbles are formed in a fluid by inflating a liquid film with a gas in which the pressure is a strictly decreasing function of the specific volume, unbounded as . We show that, if grows as fast or faster than as , then there is at least one stable equilibrium configuration of any such bubble, no matter how much gas has been used to inflate it. On the other hand, if grows as slowly or slower than as , then any such bubble has no equilibrium configuration, when the amount of gas within...
Quantitative Neuroscience: From Chalk Board to Bedside
Quantum Euler-Poisson systems: Existence of stationary states
A one-dimensional quantum Euler-Poisson system for semiconductors for the electron density and the electrostatic potential in bounded intervals is considered. The existence and uniqueness of strong solutions with positive electron density is shown for quite general (possibly non-convex or non-monotone) pressure-density functions under a “subsonic” condition, i.e. assuming sufficiently small current densities. The proof is based on a reformulation of the dispersive third-order equation for the electron...
Quasi-geostrophic type equations with weak initial data.
Quasi-neutral limit for a viscous capillary model of plasma
Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II
In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.
Quasisolenoidal Velocity-Pressure Finite Element Methods for the Three-Dimensional Stokes Problem.
Quasi-spectral data construction at two points at partially nonhomogeneous turbulence.
Quasistationary approximation in the rotating ring problem.
Quelques limites singulières oscillantes
Quelques lois de conservations issues de modèles cinétiques
Quelques problèmes de dynamique des fluides géophysiques
Quelques remarques sur les équations de Navier-Stokes dans
Nous présentons un résultat d’existence globale de solutions faibles des équations de Navier-Stokes dans pour des données initiales d’énergie infinie.