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The SIAM Journal on Scientific Computing occasionally publishes " Timely Communications, " short articles whose timely content warrants an accelerated review and publication schedule. These articles are expected to significantly benefit the research community and usually appear in the journal within six months of acceptance. Submissions of Timely… (More)

- Nejib Smaoui
- Int. J. Math. Mathematical Sciences
- 2004

We investigate analytically as well as numerically Burgers equation with a high-order nonlinearity (i.e., u t = νu xx − u n u x + mu + h(x)). We show existence of an absorbing ball in L 2 [0, 1] and uniqueness of steady state solutions for all integer n ≥ 1. Then, we use an adaptive nonlinear boundary controller to show that it guarantees global asymptotic… (More)

- Nejib Smaoui, Mohamed Zribi, Abdulla Almulla
- IMA J. Math. Control & Information
- 2006

- NEJIB SMAOUI
- 1999

We study numerically the long-time dynamics of a system of reaction-diffusion equations that arise from the viscous forced Burgers equation (u + uu x-uuxx F). A nonlinear transformation introduced by Kwak is used to embed the scalar Burgers equation into a system of reaction diffusion equations. The Kwak transformation is used to determine the existence of… (More)

- Nejib Smaoui, Salem Al-Yakoob
- SIAM J. Scientific Computing
- 2003

- Ali Kanso, Nejib Smaoui
- I. J. Bifurcation and Chaos
- 2009

- NEJIB SMAOUI
- 2004

A hybrid approach consisting of two neural networks is used to model the oscillatory dy-namical behavior of the Kuramoto-Sivashinsky (KS) equation at a bifurcation parameter α = 84.25. This oscillatory behavior results from a fixed point that occurs at α = 72 having a shape of two-humped curve that becomes unstable and undergoes a Hopf bifurcation at α =… (More)

- Nejib Smaoui
- SIAM J. Scientific Computing
- 2004

- Nejib Smaoui, Matar Ibrahim Matar
- Int. J. Comput. Math.
- 2003

- Nejib Smaoui, Mohamed Zribi
- Applied Mathematics and Computation
- 2014

Keywords: Two-dimensional Navier–Stokes equations Bifurcations Dynamical systems and control a b s t r a c t This paper deals with the dynamics and control of the two-dimensional (2-d) Navier– Stokes (N–S) equations with a spatially periodic and temporally steady forcing term. First, we construct a dynamical system of nine nonlinear differential equations… (More)