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Navier-Stokes Equations

Roger Temam
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TLDR
Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Abstract: 
Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected from the group consisting of alkenyl-1, lower alkylimino, cyclohexenyl-1 and lower alkyl substituted cyclohexenyl-1. The compounds of this invention are useful as herbicidal antidotes.

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Homogenization of the evolutionary Navier-Stokes system

Eduard Feireisl, +2 more
- 01 Jan 2016 - 
TL;DR: In this article, the homogenization problem for the evolutionary Navier-Stokes system under the critical size of obstacles is studied and convergence towards the limit system of Brinkman's type is shown under very mild assumptions concerning the shape of the obstacles and their mutual distance.
Journal ArticleDOI

On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations

Nathan Glatt-Holtz, +2 more
- 01 Feb 2017 - 
TL;DR: In this paper, the notion of asymptotic coupling provides a flexible and intuitive framework for proving the uniqueness of invariant measures for a variety of stochastic partial differential equations whose deterministic counterpart possesses a finite number of determining modes.
Journal ArticleDOI

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Thomas Carraro, +3 more
- 01 Aug 2015 - 
TL;DR: In this paper, the authors prove rigorously that the effective interface conditions are: (i) the continuity of the normal effective velocities; (ii) zero Darcy's pressure and (iii) a given slip velocity.
Journal ArticleDOI

Invariant measures for the $3$DNavier-Stokes-Voigt equations and their Navier-Stokes limit

Fabio Ramos, +1 more
- 01 Apr 2010 - 
TL;DR: The Navier-Stokes-Voigt model of incompressible fluid has been recently proposed as a regularization of the three-dimensional Navier Stokes equations for direct numerical simulations as mentioned in this paper.
Journal ArticleDOI

A Nonlinear Galerkin Scheme Involving Vector and Tensor Spherical Harmonics for Solving the Incompressible Navier--Stokes Equation on the Sphere

Martin J. Fengler, +1 more
- 01 Oct 2005 - 
TL;DR: It is shown that the occurring coupling terms involving three vector spherical harmonics can be expressed algebraically in terms of Wigner-$3j$ coefficients and an FFT-based pseudospectral algorithm for computing the Fourier coefficients of the nonlinear advection term is introduced.