Linear Theory of Hydrologic Systems

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.

A Gaussian error correction multi‐objective positioning model with NSGA‐II

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Optimal Shape Design For Elliptic Systems

The assessment of soil erosion risk, sediment yield and their controlling factors on a large scale: Example of Morocco

https://portlandpress.com/biochemsoctrans/article-pdf/7/4/813/553370/bst0070813.pdf

Enzyme-Activated Irreversible Inhibitors

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.

Bio-inspired reaction diffusion system applied to image restoration

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.

/pdf/nonlinear-parabolic-equation-having-nonstandard-growth-18iaautetv.pdf

Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent

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 
$$\gamma $$

.

Weak Periodic Solution for Semilinear Parabolic Problem with Singular Nonlinearities and $$L^{1}$$L1 Data

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

Parabolic systems driven by general differential operators with variable exponents and strong nonlinearities with respect to the gradient

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

Nour Eddine Alaa

Papers

Bio-inspired reaction diffusion system applied to image restoration

Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent

Weak Periodic Solution for Semilinear Parabolic Problem with Singular Nonlinearities and $$L^{1}$$L1 Data

Parabolic systems driven by general differential operators with variable exponents and strong nonlinearities with respect to the gradient

Period steady-state identification for a nonlinear front evolution equation using genetic algorithms