Stationary incompressible bipolar fluids
Steady and asymptotic analysis of the White-Metzner fluid.
Steady flow of a second-grade fluid in an annulus with porous walls.
Steady plane flow of second-grade fluid in exterior domains
Steady-state buoyancy-driven viscous flow with measure data
Steady-state system of equations for incompressible, possibly non-Newtonean of the -power type, viscous flow coupled with the heat equation is considered in a smooth bounded domain , or 3, with heat sources allowed to have a natural -structure and even to be measures. The existence of a distributional solution is shown by a fixed-point technique for sufficiently small data if (for ) or if (for ).
Sur la description intrinsèque des grandeurs dimensionnelles
Sur la stabilité des figures ellipsoïdales d'équilibre d'un liquide animé d'un mouvement de rotation
Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
Sur une classe de figures d'équilibre d'un liquide en rotation
The blocking of an inhomogeneous Bingham fluid. Applications to landslides
This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation...
The blocking of an inhomogeneous Bingham fluid. Applications to landslides
This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation...
The Cauchy problem for the liquid crystals system in the critical Besov space with negative index
The local well-posedness for the Cauchy problem of the liquid crystals system in the critical Besov space with is established by using the heat semigroup theory and the Littlewood-Paley theory. The global well-posedness for the system is obtained with small initial datum by using the fixed point theorem. The blow-up results for strong solutions to the system are also analysed.
The effects of nonuniform surface tension on the axisymmetric gravity-driven spreading of a thin liquid drop.
The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method
We consider the magneto-micropolar fluid flow in a bounded domain Ω ⊂ ℝ². The flow is modelled by a system of PDEs, a generalisation of the two-dimensional Navier-Stokes equations. Using the Galerkin method we prove the existence and uniqueness of weak solutions and then using the ℓ-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.
The flow of a non-Newtonian fluid induced due to the oscillations of a porous plate.
The fluid profile during spin-coating over a small sinusoidal topography.
The Mortar finite element method for Bingham fluids
This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.
The mortar finite element method for Bingham fluids
This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.
The penalty method for the equations of viscoelastic media
Time regularity of generalized Navier-Stokes equation with -power law
We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by -power law for , by using a higher integrability property and fractional difference method. Moreover, as its application we prove that every weak solution to the problem becomes a local in time strong solution and that it is unique.