Results 31 to 40 of about 112 (98)

Asymptotic analysis of Leray solution for the incompressible NSE with damping

Demonstratio Mathematica
In 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
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Global well-posedness for a critical nonlocal transport equation with analytic nonlinearity

Demonstratio Mathematica
This paper studies the well-posedness of the critical nonlocal transport equation∂tu+|D|u+∂x(f(u))=0,(t,x)∈(0,∞)×R, $${\partial }_{t}u+\vert D\vert u+{\partial }_{x}\left(f\left(u\right)\right)=0,\quad \left(t,x\right)\in \left(0,\infty \right){\times ...
Blel Mongi, Benameur Jamel
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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
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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
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Approximate numerical procedures for the Navier–Stokes system through the generalized method of lines

Nonlinear 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
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Tourbillon, Hélicité et Géométrie intrinsèque pour l'équation de Navier-Stokes [PDF]

, 2019
We will consider the Navier-Stokes equation on a Riemannian manifold M with Ricci tensor bounded below, the involved Laplacian operator is De Rham-Hodge Laplacian.
Fang, Shizan, Qian, Zhongmin
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Global strong solution of compressible flow with spherically symmetric data and density-dependent viscosities

Advances in Nonlinear Analysis
In this article, the Cauchy problem of a compressible Navier-Stokes system with density-dependent viscosities when the initial data are spherically symmetric is considered. Firstly, we construct the classical solution for the system in Ba(t)={r:0≤r≤a(t)}{
Guo Zhenhua, Xu Lei, Zhang Xueyao
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Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data

Advances in Nonlinear Analysis
In this article, we consider the global well-posedness of the initial-boundary value problem to a nonlinear Boussinesq-fluid-structure interaction system, which describes the motion of an incompressible Boussinesq-fluid surrounded by an elastic structure
Zhang Jie, Wang Shu, Shen Lin
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SOME CONTROLLABILITY RESULTS FOR LINEARIZED COMPRESSIBLE NAVIER-STOKES SYSTEM. [PDF]

, 2015
. In this article, we study the null controllability of linearized compressible Navier-Stokes system in one and two dimension. We first study the one-dimensional compressible Navier-Stokes system for non-barotropic fluid linearized around a constant ...
Debayan Maity, Maity, Debayan
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On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

Open Mathematics
This article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
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