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:...
Écoulement d'un fluide rigide visco-plastique incompressible
Écoulement tangentiel sur une surface rugueuse et loi de Navier
Editorial comment on the paper Huashui Zhan, Junning Zhao: Some remarks on Prandtl system
Effect of torsion in a helical pipe flow.
Effects of nonlinearity on the variational iteration solutions of nonlinear two-point boundary value problems with comparison with respect to finite element analysis.
Eigenvalues of the time-dependent fluid flow problem. I.
Eine Außenraumaufgabe für die instationären Navier-Stokes-Gleichungen.
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Einige Betrachtungen über die Gleichungen der Hydrodynamik
Einige Fragen der Theorie der Luftschmierung
Einleitung in die mathematische Theorie der Elasticität und Capillarität [Book]
Ekman boundary layers in rotating fluids
In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general initial data. We use dispersive effect to prove strong convergence to the solution of the bimensionnal Navier-Stokes equations modified by the Ekman pumping term.
Ekman boundary layers in rotating fluids
In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general L2 initial data. We use dispersive effect to prove strong convergence to the solution of the bimensionnal Navier-Stokes equations modified by the Ekman pumping term.
Éléments finis mixtes incompressibles pour l'équation de Stokes dans IR3 .