Active wave suppression in the interior of a one-dimensional domain

Automatica ◽  
2019 ◽  
Vol 100 ◽  
pp. 403-406 ◽  
Author(s):  
Lea Sirota ◽  
Anuradha M. Annaswamy
Keyword(s):  
One Dimensional ◽  
Active Wave ◽  
Dimensional Domain

scholarly journals A simple moment model to study the effect of diffusion on the coagulation of nanoparticles due to Brownian motion in the free molecule regime

2012 ◽  
Vol 16 (5) ◽  
pp. 1331-1338 ◽  
Author(s):  
Wenxi Wang ◽  
Qing He ◽  
Nian Chen ◽  
Mingliang Xie
Keyword(s):  
Method Of Moments ◽  
Taylor Series Expansion ◽  
Expansion Method ◽  
Particle Coagulation ◽  
Average Volume ◽  
One Dimensional ◽  
The One ◽  
And Diffusion ◽  
Dimensional Domain ◽  
Series Expansion Method

In the study a simple model of coagulation for nanoparticles is developed to study the effect of diffusion on the particle coagulation in the one-dimensional domain using the Taylor-series expansion method of moments. The distributions of number concentration, mass concentration, and particle average volume induced by coagulation and diffusion are obtained.

Study of the quasi – Periodic one dimensional domain structure near TC of TGS crystal by PFM and hybrid PFM methods

2018 ◽  
Vol 550 ◽  
pp. 332-339 ◽  
Author(s):  
A.L. Tolstikhina ◽  
R.V. Gainutdinov ◽  
N.V. Belugina ◽  
A.K. Lashkova ◽  
А.S. Кalinin ◽  
...  
Keyword(s):  
Domain Structure ◽  
One Dimensional ◽  
Dimensional Domain

scholarly journals ON THE SYMMETRY AND UNIQUENESS OF SOLUTIONS OF THE GINZBURG–LANDAU EQUATIONS FOR SMALL DOMAINS

2001 ◽  
Vol 03 (01) ◽  
pp. 1-14 ◽  
Author(s):  
A. AFTALION ◽  
E. N. DANCER
Keyword(s):  
Order Parameter ◽  
A Priori Estimates ◽  
A Priori ◽  
Small Radius ◽  
Uniqueness Of Solutions ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Priori Estimates ◽  
Ginzburg Landau Equations ◽  
Dimensional Domain

In this paper, we study the Ginzburg–Landau equations for a two dimensional domain which has small size. We prove that if the domain is small, then the solution has no zero, that is no vortex. More precisely, we show that the order parameter Ψ is almost constant. Additionnally, we obtain that if the domain is a disc of small radius, then any non normal solution is symmetric and unique. Then, in the case of a slab, that is a one dimensional domain, we use the same method to derive that solutions are symmetric. The proofs use a priori estimates and the Poincaré inequality.

One-dimensional turbulence: vector formulation and application to free shear flows

2001 ◽  
Vol 447 ◽  
pp. 85-109 ◽  
Author(s):  
ALAN R. KERSTEIN ◽  
W. T. ASHURST ◽  
SCOTT WUNSCH ◽  
VEBJORN NILSEN
Keyword(s):  
Energy Transfer ◽  
Probability Density Function ◽  
Kinetic Energy ◽  
Shear Flows ◽  
Mixing Layer ◽  
Simulation Method ◽  
Direct Numerical Simulations ◽  
Line Of Sight ◽  
One Dimensional ◽  
Dimensional Domain

One-dimensional turbulence is a stochastic simulation method representing the time evolution of the velocity profile along a notional line of sight through a turbulent flow. In this paper, the velocity is treated as a three-component vector, in contrast to previous formulations involving a single velocity component. This generalization allows the incorporation of pressure-scrambling effects and provides a framework for further extensions of the model. Computed results based on two alternative physical pictures of pressure scrambling are compared to direct numerical simulations of two time-developing planar free shear flows: a mixing layer and a wake. Scrambling based on equipartition of turbulent kinetic energy on an eddy-by-eddy basis yields less accurate results than a scheme that maximizes the intercomponent energy transfer during each eddy, subject to invariance constraints. The latter formulation captures many features of free shear flow structure, energetics, and fluctuation properties, including the spatial variation of the probability density function of a passive advected scalar. These results demonstrate the efficacy of the proposed representation of vector velocity evolution on a one-dimensional domain.

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