Results 1 to 10 of about 33 (33)

A survey on some vanishing viscosity limit results

Advances in Nonlinear Analysis, 2023
We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
doaj   +1 more source

Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space

Open Mathematics, 2022
In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj   +1 more source

Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

Demonstratio Mathematica, 2023
We study the uniqueness, the continuity in L2{L}^{2}, and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a ...
Blel Mongi, Benameur Jamel
doaj   +1 more source

Optimality of Serrin type extension criteria to the Navier-Stokes equations

Advances in Nonlinear Analysis, 2021
We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
doaj   +1 more source

Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth

Advances in Nonlinear Analysis, 2023
We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
doaj   +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
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A novel approach of the conformal mappings with applications in biotribology

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, the flow of an incompressible non Newtonian fluid between two eccentric cylinders is considered. The aim of this study is to determine the flow in the case of the stationary movement of some viscous fluids between two eccentric cylinders ...
Florea Olivia
doaj   +1 more source

Global solutions to the Navier–Stokes system with non-decaying forces in Besov spaces

Advances in Nonlinear Analysis
The non-stationary Navier–Stokes system in the whole space Rn ${\mathbb{R}}^{n}$ (n ≥ 2) is considered. Our first result provides the unique existence theorem of global strong solutions for small initial data and external forces in the scaling invariant
Takeuchi Taiki
doaj   +1 more source

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
doaj   +1 more source

Measure Attractors For Stochastic Navier-Stokes Equations

, 1998
: We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise. Keywords: Stochastic Navier--Stokes equations, measure attractors AMS subject classification: Primary: 35Q30, 60H15, 60G60; Secondary:
Marek Capinski, Nigel J. Cutland
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