EuDML | Browse

Items

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

Displaying 681 – 700 of 814

The role of oscillations in the global wellposedness of the 3-D incompressible anisotropic Navier-Stokes equations

Jean-Yves Chemin, Ping Zhang (2005/2006)

Séminaire Équations aux dérivées partielles

Corresponding to the wellposedness result [2] for the classical 3-D Navier-Stokes equations $(N S_{ν})$ with initial data in the scaling invariant Besov space, $ℬ_{p, \infty}^{- 1 + \frac{3}{p}},$ here we consider a similar problem for the 3-D anisotropic Navier-Stokes equations $(A N S_{ν}),$ where the vertical viscosity is zero. In order to do so, we first introduce the Besov-Sobolev type spaces, $ℬ_{4}^{- \frac{1}{2}, \frac{1}{2}}$ and $ℬ_{4}^{- \frac{1}{2}, \frac{1}{2}} (T) .$ Then with initial data in the scaling invariant space $ℬ_{4}^{- \frac{1}{2}, \frac{1}{2}},$ we prove the global wellposedness for $(A N S_{ν})$ provided the norm of initial data is small enough compared...

The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics

Dana Lauerová (1990)

Aplikace matematiky

The existence of a periodic solution of a nonlinear equation $z^{'} + A_{0} z + B_{0} z = F$ is proved. The theory developed may be used to prove the existence of a periodic solution of the variational formulation of the Navier-Stokes equations or the equations of magnetohydrodynamics. The proof of the main existence theorem is based on Rothe method in combination with the Galerkin method, using the Brouwer fixed point theorem.

The scalar Oseen operator $- Δ + \partial / \partial x_{1}$ in $ℝ^{2}$

Chérif Amrouche, Hamid Bouzit (2008)

Applications of Mathematics

This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in $L^{p}$ theory.

The stationary exterior 3 D-problem of Oseen and Navier-Stokes equations in anisotropically weighted Sobolev spaces.

Reinhard Farwig (1992)

Mathematische Zeitschrift

The Stokes system in the incompressible case-revisited

Rainer Picard (2008)

Banach Center Publications

The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.

The Tartar equation for homogenization of a model of the dynamics of fine-dispersion mixtures.

Sazhenkov, S.A. (2001)

Sibirskij Matematicheskij Zhurnal

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 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

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

Aleksander Janicki (1978)

Banach Center Publications

Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes

D. J. Mavriplis, Z. Yang (2011)

Mathematical Modelling of Natural Phenomena

For flows with strong periodic content, time-spectral methods can be used to obtain time-accurate solutions at substantially reduced cost compared to traditional time-implicit methods which operate directly in the time domain. However, these methods are only applicable in the presence of fully periodic flows, which represents a severe restriction for many aerospace engineering problems. This paper presents an extension of the time-spectral approach...

Time-dependent coupling of Navier–Stokes and Darcy flows

Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.

Time-dependent Stokes equations with measure data.

Bui An Ton (2003)

Abstract and Applied Analysis

Transmission of obliquely incident surface waves through a narrow gap.

Mandal, B.N., Kundu, P.K. (1989)

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

Two component regularity for the Navier-Stokes equations.

Fan, Jishan, Gao, Hongjun (2009)

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

Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions

Gladys Narbona-Reina, Didier Bresch (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an elastic dumbbell type model with a slip boundary condition at the bottom. The result has been announced by the authors in [G. Narbona-Reina, D. Bresch, Numer. Math. and Advanced Appl. Springer Verlag (2010)] and in the present paper, we provide a self-contained...

Two-dimensional Navier-Stokes flow in unbounded domains.

Hideo Kozono, Takayoshi Ogawa (1993)

Mathematische Annalen

Two-Layer Flow with One Viscous Layer in Inclined Channels

O. K. Matar, G. M. Sisoev, C. J. Lawrence (2008)

Mathematical Modelling of Natural Phenomena

We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the presence of...

Currently displaying 681 – 700 of 814

Previous Page 35 Next