Results 31 to 40 of about 1,732 (53)

An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations

, 2009
We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.Comment: Submitted for the proceedings of the conference "Stochastic partial differential ...
Romito, Marco
core   +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

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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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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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

Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces

Advances in Nonlinear Analysis, 2017
As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
doaj   +1 more source

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics

Forum of Mathematics, Sigma
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio, Zineb Hassainia, Haroune Houamed   +2 more
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

Advances in Nonlinear Analysis, 2017
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
doaj   +1 more source

Singularity \& Regularity Issues for Simplified Models of Turbulence

, 2011
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter $\theta$, of the Navier-Stokes equations. In particular, they share with the original
Ali, Hani, Ammari, Zied
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Smooth imploding solutions for 3D compressible fluids

Forum of Mathematics, Pi
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano   +2 more
doaj   +1 more source