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Nour Eddine Alaa

Bio: Nour Eddine Alaa is an academic researcher from Cadi Ayyad University. The author has contributed to research in topics: Nonlinear system & Reaction–diffusion system. The author has an hindex of 4, co-authored 26 publications receiving 56 citations.

Papers
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Journal ArticleDOI
TL;DR: A new model of nonlinear and anisotropic reaction diffusion system applied to image restoration and to contrast enhancement based on a system of partial differential equations of type Fitzhugh-Nagumo is proposed.
Abstract: In this paper, we propose a new model of nonlinear and anisotropic reaction diffusion system applied to image restoration and to contrast enhancement. This model is based on a system of partial differential equations of type Fitzhugh-Nagumo. In the first, we give the comparison with the previous model, then, we show the robustness and the performance of our algorithm through a number of experimental results.

9 citations

Journal ArticleDOI
TL;DR: In this article, the existence of solutions to a class of quasilinear parabolic equations with critical growth nonlinearity with respect to the gradient and variable exponent was studied.
Abstract: We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer's fixed point theorem combined with the sub- and supersolution method, we prove the existence results of a weak solutions to the considered problems.

8 citations

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TL;DR: In this paper, the authors considered a periodic parabolic problem with singular nonlinearity and homogeneous Dirichlet boundary condition, and established the existence of a weak T-periodic solution for all ranges of value of �Ω(n) for all values of n.
Abstract: We consider a periodic parabolic problem involving singular nonlinearity and homogeneous Dirichlet boundary condition modeled by $$\begin{aligned} \dfrac{\partial u}{\partial t}-\Delta u =\dfrac{f}{u^{\gamma }} \text { in }Q_{T}, \end{aligned}$$ where $$T>0$$ is a period, $$\Omega $$ is an open regular bounded subset of $$\mathbb {R}^{N}$$ , $$Q_{T}=]0,T[\times \Omega $$ , $$\gamma \in \mathbb {R}$$ and f is a nonnegative integrable function periodic in time with period T. Under a suitable assumptions on f, we establish the existence of a weak T-periodic solution for all ranges of value of $$\gamma $$ .

8 citations

Journal ArticleDOI
01 Jun 2021
TL;DR: In this paper, a class of nonlinear parabolic systems driven by Leray-Lions operators with p(x)-growth conditions and strong nonlinearity with respect to the gradients is considered.
Abstract: We consider a class of nonlinear parabolic systems driven by Leray-Lions operators with p(x)-growth conditions and strong nonlinearity with respect to the gradients Under the assumption that a nonnegative weak super-solutions is known, we prove the existence of nonnegative weak solutions to the considered systems

4 citations

Journal ArticleDOI
TL;DR: A new approach based on heuristic methods such as genetic algorithms in order to compute the unknowns is developed, which is addressed toward the study of a highly nonlinear front evolution equation proposed by Csahok et al. (1999).
Abstract: In molecular beam epitaxy, it is known that a planar surface may suffer from a morphological instability in favour to different front pattern formations In this context, many studies turned their focus to the theoretical and numerical analysis of highly nonlinear partial differential equations which exhibit different scenarios ranging from spatio-temporal chaos to coarsening processes (ie, an emerging pattern whose typical length scale with time) In this work our attention is addressed toward the study of a highly nonlinear front evolution equation proposed by Csahok et al (1999) where the unknowns are the periodic steady states which play a major role in investigating the coarsening dynamics Therefore the classical methods of Newton or a fixed point type are not suitable in this situation To overcome this problem, we develop in this paper a new approach based on heuristic methods such as genetic algorithms in order to compute the unknowns

4 citations


Cited by
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Journal ArticleDOI
TL;DR: To improve positioning accuracy, a Gaussian error correction multi‐objective positioning model with non‐dominated sorting (NSGA‐II) is proposed, which is named GGAII‐DVHop and demonstrates that it is significantly superior to other four algorithms in both positioning precision and robustness.
Abstract: Distance vector‐hop (DVHop), as a range‐independent positioning algorithm, is a significant positioning method in wireless sensor networks (WSNs). It is composed of three parts, including connectivity detection, distance estimation, and position estimation. However, this simple positioning method results in a larger positioning error. Therefore, to enhance the positioning precision, this paper investigates the characteristic of error distribution between the estimated and real distance in the DVHop algorithm and reveals that the error is subjecting to the Gaussian distribution, N∼(0,1/3CR). Furthermore, to improve positioning accuracy, we propose a Gaussian error correction multi‐objective positioning model with non‐dominated sorting (NSGA‐II), which named GGAII‐DVHop. Finally, this model is tested on three complex network topologies, and the results demonstrate that it is significantly superior to other four algorithms in both positioning precision and robustness.

155 citations

01 Jan 2016
TL;DR: The optimal shape design for elliptic systems is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can download it instantly.
Abstract: Thank you for reading optimal shape design for elliptic systems. Maybe you have knowledge that, people have search hundreds times for their favorite books like this optimal shape design for elliptic systems, but end up in infectious downloads. Rather than enjoying a good book with a cup of coffee in the afternoon, instead they juggled with some infectious bugs inside their laptop. optimal shape design for elliptic systems is available in our book collection an online access to it is set as public so you can download it instantly. Our digital library saves in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Kindly say, the optimal shape design for elliptic systems is universally compatible with any devices to read.

116 citations

Journal ArticleDOI
TL;DR: In this paper, the authors combined the RUSLE model with a calibrated sediment delivery ratio SDR to obtain a simulated suspended sediment yield, which is compared with the observed ones founded in 42 catchments of the biggest and important dams of Morocco.

33 citations