Results 11 to 20 of about 63 (57)

On the analysis of a geometrically selective turbulence model

open access: yesAdvances 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   +2 more
doaj   +1 more source

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

open access: yes, 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

On a viscous two-fluid channel flow including evaporation

open access: yesOpen Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source

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

open access: yes, 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

open access: yes, 2020
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

Stability on 3D Boussinesq system with mixed partial dissipation

open access: yesAdvances 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   +3 more
doaj   +1 more source

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

open access: yesAdvances 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

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

open access: yesAdvanced 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

Incompressible limit for the compressible viscoelastic fluids in critical space

open access: yesAdvances 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

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