Parabolic regularization and behaviour of the free boundary for unsaturated flow in a porous medium.
Parallel fully coupled Schwarz preconditioners for saddle point problems.
Partial regularity of solution to generalized Navier-Stokes problem
In the presented work, we study the regularity of solutions to the generalized Navier-Stokes problem up to a C 2 boundary in dimensions two and three. The point of our generalization is an assumption that a deviatoric part of a stress tensor depends on a shear rate and on a pressure. We focus on estimates of the Hausdorff measure of a singular set which is defined as a complement of a set where a solution is Hölder continuous. We use so-called indirect approach to show partial regularity, for dimension...
Particle Dynamics Methods of Blood Flow Simulations
Various particle methods are widely used to model dynamics of complex media. In this work molecular dynamics and dissipative particles dynamics are applied to model blood flows composed of plasma and erythrocytes. The properties of the homogeneous particle fluid are studied. Capillary flows with erythrocytes are investigated.
Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆
A new numerical scheme called particle-in-wavelets is proposed for the Vlasov-Poisson equations, and tested in the simplest case of one spatial dimension. The plasma distribution function is discretized using tracer particles, and the charge distribution is reconstructed using wavelet-based density estimation. The latter consists in projecting the Delta distributions corresponding to the particles onto a finite dimensional linear space spanned by...
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Peculiarities of density distribution of a coupled fluid in capillary porous media.
Periodic solutions arising in ecology of mangroves
Periodic solutions for an evaporation problem with a Signorini type boundary condition
Peristaltic flow of a magneto-micropolar fluid: effect of induced magnetic field.
Peristaltic motion of a Johnson-Segalman fluid in a planar channel.
Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid
Peristaltic pumping of fluid is a fundamental method of transport in many biological processes. In some instances, particles of appreciable size are transported along with the fluid, such as ovum transport in the oviduct or kidney stones in the ureter. In some of these biological settings, the fluid may be viscoelastic. In such a case, a nonlinear constitutive equation to describe the evolution of the viscoelastic contribution to the stress tensor...
Peristaltic transport in a cylindrical tube through a porous medium.
Peristaltic transport of an Oldroyd-B fluid in a planar channel.
Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field.
Peristaltic viscoelastic fluid motion in a tube.
Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque
Persistance des structures géométriques liées aux poches de tourbillon