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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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Journal ArticleDOI

Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation

M. S. Jolly, +4 more
- 01 Apr 1991 - 
TL;DR: In this paper, it was shown that the Kuramoto-Sivashinsky equation is dissipative without any adjustment, while maintaining the same order of approximation, and that the most natural remedy, namely, preparation of the equation, can be highly sensitive to the size of the absorbing ball.
Journal ArticleDOI

Pullback attractors and statistical solutions for 2-D Navier-Stokes equations

Grzegorz Łukaszewicz
- 01 Feb 2008 - 
TL;DR: In this article, the authors investigated relations among the pullback attractor, time-average measure, and statistical solution of the Navier-Stokes flow in a bounded domain.
Journal ArticleDOI

Exponential Mixing for the 3D Stochastic Navier–Stokes Equations

Cyril Odasso
- 01 Dec 2006 - 
TL;DR: In this paper, the Navier-Stokes equations in dimension 3 (NS3D) driven by a noise which is white in time is studied. And it is shown that if the noise is at the same time sufficiently smooth and non-degenerate in space, then the weak solutions converge exponentially fast to equilibrium.
Journal ArticleDOI

Energy Decay for a Weak Solution of the Navier–Stokes Equation with Slowly Varying External Forces

Takayoshi Ogawa, +2 more
- 01 Mar 1997 - 
TL;DR: In this article, the authors considered the Navier-Stokes system with slowly decaying external forces and showed that the energy norm of a weak solution has non-uniform decay.
Journal ArticleDOI

On the incompressible limit of the compressible navier-stokes equations

Chi-Kun Lin
- 31 Dec 1995 - 
TL;DR: In this paper, the behavior of solutions of nonlinar hyperbolic systems as certain parameters and coefficients becomes infinite is studied, and it is shown that, quite often, the limiting sol...