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Displaying 41 – 60 of 64

The topological asymptotic expansion for the Quasi-Stokes problem

Maatoug Hassine, Mohamed Masmoudi (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we propose a topological sensitivity analysis for the Quasi-Stokes equations. It consists in an asymptotic expansion of a cost function with respect to the creation of a small hole in the domain. The leading term of this expansion is related to the principal part of the operator. The theoretical part of this work is discussed in both two and three dimensional cases. In the numerical part, we use this approach to optimize the locations of a fixed number of air injectors in an eutrophized...

The topological asymptotic for the Navier-Stokes equations

Samuel Amstutz (2005)

ESAIM: Control, Optimisation and Calculus of Variations

The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steady-state Navier-Stokes equations for an incompressible fluid and a no-slip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional...

The topological asymptotic for the Navier-Stokes equations

Samuel Amstutz (2010)

ESAIM: Control, Optimisation and Calculus of Variations

The topological degree method for equations of the Navier-Stokes type.

Dmitrienko, V.T., Zvyagin, V.G. (1997)

Abstract and Applied Analysis

The uniform attractors for the nonhomogeneous 2D Navier-Stokes equations in some unbounded domain.

Wu, Delin (2008)

Boundary Value Problems [electronic only]

The unstable spectrum of the Navier–Stokes operator in the limit of vanishing viscosity

Roman Shvydkoy, Susan Friedlander (2008)

Annales de l'I.H.P. Analyse non linéaire

The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation

Alexander Khapalov (2013)

International Journal of Applied Mathematics and Computer Science

We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer's body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering applications...

Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond.

Boussinesq, J. (1872)

Journal de Mathématiques Pures et Appliquées

We prove that strong solutions of the Boussinesq equations in 2D and 3D can be extended as analytic functions of complex time. As a consequence we obtain the backward uniqueness of solutions.

Time-dependent Stokes equations with measure data.

Bui An Ton (2003)

Abstract and Applied Analysis

Tin melting: Effect of grid size and scheme on the numerical solution.

Alexiades, Vasilios, Hannoun, Noureddine, Mai, Tsun Zee (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Towards robust 3D $Z$ -pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors.

Bochev, Pavel B., Hu, Jonathan J., Robinson, Allen C., Tuminaro, Raymond S. (2003)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Transitional vortices in wide-gap spherical annulus flow.

Ifidon, E.O. (2005)

International Journal of Mathematics and Mathematical Sciences

Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane.

Zgliczyński, Piotr (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Currently displaying 41 – 60 of 64

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Displaying 41 – 60 of 64

The topological asymptotic expansion for the Quasi-Stokes problem

The topological asymptotic for the Navier-Stokes equations

The topological asymptotic for the Navier-Stokes equations

The topological degree method for equations of the Navier-Stokes type.

The uniform attractors for the nonhomogeneous 2D Navier-Stokes equations in some unbounded domain.

The unstable spectrum of the Navier–Stokes operator in the limit of vanishing viscosity

The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation

Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond.

Three-dimensional fluctuating Couette flow through the porous plates with heat transfer.

Three-level discrete time Galerkin approximations for the non-stationary Navier-Stokes equation

Time analyticity and backward uniqueness for the Boussinesq equations

Time-dependent Stokes equations with measure data.

Tin melting: Effect of grid size and scheme on the numerical solution.

Towards robust 3D $Z$ -pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors.

Transitional vortices in wide-gap spherical annulus flow.

Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane.

Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations.

Two component regularity for the Navier-Stokes equations.

Two dimensional incompressible ideal flow around a thin obstacle tending to a curve

Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra.

Currently displaying 41 – 60 of 64