Damping of waves due to a soluble film.
Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition.
Darcy-type law associated to an optimal control problem.
Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation.
Décomposition en profils pour les solutions des équations de Navier-Stokes
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
Density-dependent incompressible fluids with non-Newtonian viscosity
We study the system of PDEs describing unsteady flows of incompressible fluids with variable density and non-constant viscosity. Indeed, one considers a stress tensor being a nonlinear function of the symmetric velocity gradient, verifying the properties of -coercivity and -growth, for a given parameter . The existence of Dirichlet weak solutions was obtained in [2], in the cases if or if , being the dimension of the domain. In this paper, with help of some new estimates (which lead...
Derivation of the Reynolds equation for lubrication of a rotating shaft
In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier–Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.
Dissipative quasi-geostrophic equations with data.
Distributed control for multistate modified Navier-Stokes equations
The aim of this paper is to establish necessary optimality conditions for optimal control problems governed by steady, incompressible Navier-Stokes equations with shear-dependent viscosity. The main difficulty derives from the fact that equations of this type may exhibit non-uniqueness of weak solutions, and is overcome by introducing a family of approximate control problems governed by well posed generalized Stokes systems and by passing to the limit in the corresponding optimality conditions.
Divergence stability in connection with the -version of the finite element method
Domain decomposition methods for solving the Burgers equation
This article presents some results of numerical tests of solving the two-dimensional non-linear unsteady viscous Burgers equation. We have compared the known convergence and parallel performance properties of the additive Schwarz domain decomposition method with or without a coarse grid for the model Poisson problem with those obtained by experiments for the Burgers problem.
Domain Decomposition Schemes for the Stokes Equation
Domain Embedding Methods for the Stokes Equations.
Dual-mixed finite element methods for the Navier-Stokes equations
A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
Dynamic programming for the stochastic Navier-Stokes equations
Dynamic Programming for the stochastic Navier-Stokes equations
We solve an optimal cost problem for a stochastic Navier-Stokes equation in space dimension 2 by proving existence and uniqueness of a smooth solution of the corresponding Hamilton-Jacobi-Bellman equation.
Dynamics of Biomembranes: Effect of the Bulk Fluid
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as a boundary force on the Navier-Stokes system modeling an incompressible fluid. We give a concise description of the model and of the associated numerical scheme. We provide numerical simulations with emphasis on the comparisons between different types of flow:...