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Your search keyword '"Younes Echarroudi"' showing total 2 results
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2 results on '"Younes Echarroudi"'

1. Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

Author

Mohamed Alahyane, Abderrazak Chrifi, and Younes Echarroudi

Subjects
Numerical Analysis, Control and Optimization, Applied Mathematics, Analysis
Abstract

In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE). More precisely, we will treat in a first time the well-posedness of GPE model with a degeneracy occurring in the interior of the space variable domain, i.e ∃x 0 ∈ (0, L), s. t k(x 0) = 0, where k stands for the diffusion coefficient and L is a positive constant. Thereafter, we will focus ourselves on some numerical simulations showing the influence of a different parameters, especially the interior degeneracy, on the behavior of the wave solution corresponding to our model in a special case of the function k namely k(x) = |x − x 0| α, α ∈ (0, 1).

Published
2022
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2. Null controllability of a population dynamics with degenerate diffusion

Author

Bedr'Eddine Ainseba, Younes Echarroudi, Lahcen Maniar, Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Université Cadi Ayyad [Marrakech] (UCA), Unité de modélisation mathématique et informatique des systèmes complexes [Bondy] (UMMISCO), Université Cadi Ayyad [Marrakech] (UCA)-Université de Yaoundé I-Université Gaston Bergé (Saint-Louis, Sénégal)-Université Cheikh Anta Diop [Dakar, Sénégal] (UCAD)-Institut de la francophonie pour l'informatique-Université Pierre et Marie Curie - Paris 6 (UPMC), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), and Institut de Recherche pour le Développement (IRD)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université de Yaoundé I-Institut de la francophonie pour l'informatique-Université Cheikh Anta Diop [Dakar, Sénégal] (UCAD)-Université Gaston Bergé (Saint-Louis, Sénégal)-Université Cadi Ayyad [Marrakech] (UCA)

Subjects
Applied Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 35K65, 92D25, 93B05, Analysis, ComputingMilieux_MISCELLANEOUS, 93B07
Abstract

In this paper, we are interested in the null controllability of a linear population dynamics model with degenerate dispersion coefficient. We develop first a Carleman-type inequality for its adjoint system, and then an observability inequality which allows us to establish the existence of a control acting on a subset of the space domain which steers the population of a certain age to extinction in a finite time.

Published
2013

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