Results 11 to 20 of about 56 (50)

On the existence of weak solutions for the initial‐boundary value problem in the Jeffreys model of motion of a viscoelastic medium

Abstract and Applied Analysis, Volume 2004, Issue 10, Page 815-829, 2004., 2004
This paper deals with the initial‐boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two‐dimensional or three‐dimensional space. The existence of weak solutions of this problem is obtained.
D. A. Vorotnikov, V. G. Zvyagin
wiley   +1 more source

Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow

Journal of Applied Mathematics, Volume 2003, Issue 9, Page 429-446, 2003., 2003
In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
wiley   +1 more source

On the analysis of a geometrically selective turbulence model

Advances in Nonlinear Analysis, 2020
In this paper we propose some new non-uniformly-elliptic/damping regularizations of the Navier-Stokes equations, with particular emphasis on the behavior of the vorticity. We consider regularized systems which are inspired by the Baldwin-Lomax and by the
Chorfi Nejmeddine, Abdelwahed Mohamed, Berselli Luigi C.   +2 more
doaj   +1 more source

Partial Regularity of Hopf Weak Solutions of the Navier-Stokes Equations, which Satisfy a Suitable Extra-Condition [PDF]

, 2018
We estimate the Hausdorff dimension of the set S of the possible singular points, associated to a Hopf weak solution which satisfies a suitable extracondition.
Mauro, Jimmy Alfonso
core   +1 more source

Estimates in Morrey-Campanato Spaces of a Suitable Weak Solution of the Navier-Stokes Equations, Satisfying an Extra-Condition [PDF]

, 2019
We consider a study of regularity, by means of the theory of Morrey-Campanato spaces, of suitable weak solutions of the Cauchy problem for the non-stationary Navier-Stokes equations, which satisfy a suitable extra-condition. According to what is known at
Mauro, Jimmy Alfonso
core   +1 more source

Existence of strong solutions to a fluid–structure system with a structure given by a finite number of parameters

, 2019
We study the existence of strong solutions to a 2d fluid–structure system. The fluid is modelled by the incompressible Navier–Stokes equations. The structure represents a steering gear and is described by a finite number of parameters and its equations ...
Guillaume Delay, Delay, Guillaume
core   +1 more source

Incompressible limit for the compressible viscoelastic fluids in critical space

Advances in Nonlinear Analysis
In this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
doaj   +1 more source

Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

Advanced Nonlinear Studies, 2018
This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
doaj   +1 more source

Stability on 3D Boussinesq system with mixed partial dissipation

Advances in Nonlinear Analysis
In the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia, Liu Sen, Guo Xiaochuan, You Ruiqi   +3 more
doaj   +1 more source

A priori estimates for free boundary fluid-structure interaction models of magnetohydrodynamic flows with diffusion

Advances in Nonlinear Analysis
A 3D free-boundary nonlinear fluid-structure interaction (FSI) problem in which the elastic body fully immersed in the magnetofluid is considered. The fluid is modeled by the Magnetohydrodynamic (MHD) equations with diffusion while the structure is ...
Shen Lin, Wang Shu
doaj   +1 more source