Results 31 to 40 of about 183,867 (177)

On Unique Continuation for Navier-Stokes Equations

open access: yesAbstract and Applied Analysis, 2015
We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
doaj   +1 more source

A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations [PDF]

open access: yes, 2008
A finite element method to solve the bidimensional Reduced Navier-Stokes Prandtl (RNS/P) equations is described. These equations are an asymptotical simplification of the full Navier-Stokes equations, obtained when one dimension of the domain is of one ...
Azérad   +14 more
core   +4 more sources

Navier-Stokes equations with delays [PDF]

open access: yesProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001
Some results on the existence and uniqueness of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved.
Caraballo Garrido, Tomás   +1 more
openaire   +4 more sources

The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization [PDF]

open access: yesArchives of Control Sciences, 2021
The article presents "-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution.
Saule Sh. Kazhikenova
doaj   +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

Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure

open access: yes, 2010
We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
core   +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

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

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

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

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