Results 31 to 40 of about 1,753 (93)

Development of local, global, and trace estimates for the solutions of elliptic equations

open access: yes, 2001
Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley   +1 more source

Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain

open access: yesJournal of Partial Differential Equations, 2019
This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain.
Xin-Guang Yang and Shubin Wang sci
semanticscholar   +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

A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component [PDF]

open access: yesCommu. Pure Appl. Anal., 12 (2013), 117--124, 2011
We study the Cauchy problem for the 3D Navier-Stokes equations, and prove some scalaring-invariant regularity criteria involving only one velocity component.
arxiv   +1 more source

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

Approximate numerical procedures for the Navier–Stokes system through the generalized method of lines

open access: yesNonlinear Engineering
This article develops approximate numerical solutions through the generalized method of lines for the time-independent, incompressible Navier–Stokes system in fluid mechanics.
Botelho Fabio Silva
doaj   +1 more source

On geometrical properties of starlike logharmonic mappings

open access: yes, 2018
In this paper, we find the radius of the disk Ωr such that every starlike logharmonic mapping f (z) of order α , is starlike in |z| r with respect to any point of Ωr .
Z. Abdulhadi, L. Hajj
semanticscholar   +1 more source

Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

open access: yes, 2014
We consider in this paper numerical approximation of the linear fluid-structure interaction (FSI). We construct a new class of pressure-correction schemes for the linear FSI problem with a fixed interface, and prove rigorously that they are ...
Ying Shen
semanticscholar   +1 more source

Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces [PDF]

open access: yesJ. Math. Phys. 53, 115620 (2012), 2012
We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arbitrarily small initial data.
arxiv   +1 more source

SECOND LAW ANALYSIS FOR A POROUS CHANNEL FLOW WITH ASYMMETRIC SLIP AND CONVECTIVE BOUNDARY CONDITIONS

open access: yes, 2017
The present work addresses the entropy generation in the flow of an incompressible viscous fluid through porous parallel walls subjected to asymmetric slip and convective heating conditions.
J. Falade   +3 more
semanticscholar   +1 more source

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