Skip to search formSkip to main contentSkip to account menu

Navier–Stokes equations

Known as: Stokes equation, Navier–Stokes equation, Viscous flow 
In physics, the Navier–Stokes equations /nævˈjeɪ stoʊks/, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of viscous… 
Wikipedia (opens in a new tab)

Related topics

Related topics

50 relations
ACM SIGGRAPHAeroacoustic analogyAutodesk MayaBasis function

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2011
Review
2011
Philip Drazin and Norman Riley: The Navier–Stokes equations : a classification of flows and exact solutions
This is a unique and intriguing book, apparently completed by the second author after the sad death of the first author. It is… 
Highly Cited
2007
Highly Cited
2007
Liouville theorems for the Navier–Stokes equations and applications
We study bounded ancient solutions of the Navier–Stokes equations. These are solutions with bounded velocity defined in Rn × (−1… 
Highly Cited
2003
Highly Cited
2003
An Immersed Interface Method for Incompressible Navier-Stokes Equations
The method developed in this paper is motivated by Peskin's immersed boundary (IB) method, and allows one to model the motion of… 
Highly Cited
2001
Highly Cited
2001
The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory
We show here the global, in time, regularity of the three dimensional viscous Camassa–Holm (Navier–Stokes-alpha) (NS-α) equations… 
Highly Cited
2001
Highly Cited
2001
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds
The Navier-Stokes equations are a system of nonlinear evolution equations modeling the flow of a viscous, incompressible fluid… 
Highly Cited
1999
Highly Cited
1999
A discontinuous hp finite element method for the Euler and Navier–Stokes equations
We introduce a new method for the solution of the Euler and Navier-Stokes equations, which is based on the application of a… 
Highly Cited
1997
Highly Cited
1997
An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier-Stokes Equations
Efficient solution of the Navier?Stokes equations in complex domains is dependent upon the availability of fast solvers for… 
Highly Cited
1995
Highly Cited
1995
Convergence acceleration of a Navier-Stokes solver for efficient static aeroelastic computations
New capabilities have been developed for a Navier-Stokes solver to perform steady-state simulations more efficiently. The flow… 
Highly Cited
1993
Highly Cited
1993
Stochastic forcing of the linearized Navier–Stokes equations
Transient amplification of a particular set of favorably configured forcing functions in the stochastically driven Navier–Stokes… 
Highly Cited
1988
Highly Cited
1988
Nonlinear stability of rarefaction waves for compressible Navier Stokes equations
It is shown that expansion waves for the compressible Navier-Stokes equations are nonlinearly stable. The expansion waves are… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)