All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 25 Next

Displaying 481 – 500 of 614

Showing per page

Steady Boussinesq system with mixed boundary conditions including friction conditions

Tujin Kim (2022)

Applications of Mathematics

In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there exists a solution...

Stopping a viscous fluid by a feedback dissipative field: II. The stationary Navier-Stokes problem

Stanislav Nikolaevich Antontsev, Jesús Ildefonso Díaz, Hermenegildo Borges de Oliveira (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite strip governed by the Navier-Stokes system with a feed-back body forces field which depends on the velocity field. Since the presence of this type of non-linear terms is not standard in the fluid mechanics literature, we start by establishing some results about existence and uniqueness of weak solutions. Then, we prove how this fluid can be stopped at a finite distance of the semi-infinite strip entrance by...

Structural Evolution of the Taylor Vortices

Tian Ma, Shouhong Wang (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We classify in this article the structure and its transitions/evolution of the Taylor vortices with perturbations in one of the following categories: a) the Hamiltonian vector fields, b) the divergence-free vector fields, and c). the solutions of the Navier-Stokes equations on the two-dimensional torus. This is part of a project oriented toward to developing a geometric theory of incompressible fluid flows in the physical spaces.

Study of a three component Cahn-Hilliard flow model

Franck Boyer, Céline Lapuerta (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, we propose a new diffuse interface model for the study of three immiscible component incompressible viscous flows. The model is based on the Cahn-Hilliard free energy approach. The originality of our study lies in particular in the choice of the bulk free energy. We show that one must take care of this choice in order for the model to give physically relevant results. More precisely, we give conditions for the model to be well-posed and to satisfy algebraically and dynamically consistency...

Sur le temps de vie de la turbulence bidimensionnelle

Thierry Gallay, Luis Miguel Rodrigues (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

On sait que toutes les solutions de l’équation de Navier-Stokes dans R 2 dont le tourbillon est intégrable convergent lorsque t → ∞ vers un écoulement autosimilaire appelé tourbillon d’Oseen. Dans cet article, nous donnons une estimation du temps nécessaire à la solution pour atteindre un voisinage du tourbillon d’Oseen à partir d’une donnée initiale arbitraire, mais bien localisée en espace. Nous obtenons ainsi une borne supérieure sur le temps de vie de la turbulence bidimensionnelle libre, en fonction...

The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure

Jiří Neustupa (2003)

Applications of Mathematics

We assume that 𝕧 is a weak solution to the non-steady Navier-Stokes initial-boundary value problem that satisfies the strong energy inequality in its domain and the Prodi-Serrin integrability condition in the neighborhood of the boundary. We show the consequences for the regularity of 𝕧 near the boundary and the connection with the interior regularity of an associated pressure and the time derivative of 𝕧 .

The Cauchy problem for the homogeneous time-dependent Oseen system in ℝ 3 : spatial decay of the velocity

Paul Deuring (2013)

Mathematica Bohemica

We consider the homogeneous time-dependent Oseen system in the whole space ℝ 3 . The initial data is assumed to behave as O ( | x | - 1 - ϵ ) , and its gradient as O ( | x | - 3 / 2 - ϵ ) , when | x | tends to infinity, where ϵ is a fixed positive number. Then we show that the velocity u decays according to the equation | u ( x , t ) | = O ( | x | - 1 ) , and its spatial gradient ∇ x u decreases with the rate | x | - 3 / 2 , for | x | tending to infinity, uniformly with respect to the time variable t . Since these decay rates are optimal even in the stationary case, they should also be the best possible...

Currently displaying 481 – 500 of 614