Results 31 to 40 of about 331,405 (340)

About the Regularized Navier?Stokes Equations [PDF]

open access: yesJournal of Mathematical Fluid Mechanics, 2005
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space $L^{3,\infty}$ is used to prove some asymptotic stability results for solutions with infinite energy.
Cannone, Marco, Karch, Grzegorz
openaire   +3 more sources

Navier–Stokes equations, the algebraic aspect [PDF]

open access: yesTheoretical and Mathematical Physics, 2021
Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.
openaire   +2 more sources

Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations

open access: yes, 2004
The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors.
Cheban, David, Duan, Jinqiao
core   +1 more source

Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations

open access: yesResults in Engineering, 2023
Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi   +5 more
doaj   +1 more source

Equations of Motion and Navier–Stokes Equations

open access: yesComputation
In this research, we present the analogies between variational calculations in cosmology and in classical mechanics. Our approach is based on the invariants for transformations of affine connections defined on N-dimensional manifolds (special cases are ...
Dušan J. Simjanović   +4 more
doaj   +1 more source

Inviscid limit of stochastic damped 2D Navier-Stokes equations

open access: yes, 2012
We consider the inviscid limit of the stochastic damped 2D Navier- Stokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic
Bessaih, H., Ferrario, B.
core   +1 more source

Results on existence for generalized nD Navier-Stokes equations

open access: yesOpen Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source

On unbiased stochastic Navier–Stokes equations [PDF]

open access: yesProbability Theory and Related Fields, 2011
A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u\nabla u.
Mikulevicius, R., Rozovskii, B. L.
openaire   +2 more sources

Moth‐Wing‐Inspired Multifunctional Metamaterials

open access: yesAdvanced Materials, EarlyView.
This study develops a moth‐wing‐inspired heterogeneous metamaterial that achieves synergistic broadband sound absorption, mechanical energy dissipation, and thermal insulation within a lightweight architected framework. Combining bioinspired gradient design, genetic‐algorithm optimization, and additive manufacturing, the bionic heterogeneous acoustic ...
Haoran Pei   +12 more
wiley   +1 more source

On the accuracy of difference scheme for Navier-Stokes equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
doaj   +1 more source

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