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Asymptotic Analysis - Volume 39, issue 3-4

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Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

Résonances en dimension un pour l'opérateur de Schrödinger

Authors: Servat, E.

Article Type: Research Article

Abstract: On s'intéresse à l'existence et à la localisation des résonances pour l'opérateur de Schrödinger semi‐classique unidimensionnel, dans le cas de puits multiple dans une île. On obtient en particulier une condition géométrique pour la transition entre le croisement et l'anti‐croisement des résonances dans le cas de deux puits de potentiel.

Citation: Asymptotic Analysis, vol. 39, no. 3-4, pp. 187-224, 2004

Price: EUR 27.50

Some analytical results on the Gray–Scott model

Authors: Dkhil, F. | Logak, E. | Nishiura, Y.

Article Type: Research Article

Abstract: We consider the Gray–Scott model for cubic autocatalysis. We prove nonexistence results on stationary and travelling pulse solutions for some domain of parameters. We obtain an explicit travelling front in the one dimensional case for equal diffusivities and equal transformation rates of the reactants. We prove that travelling fronts continue to exist near the equal diffusivities and equal transformation rates case. We also provide numerical simulations illustrating our results.

Keywords: Gray–Scott model, reaction–diffusion system, travelling pulse, travelling front, self‐replicating patterns, autocatalysis

Citation: Asymptotic Analysis, vol. 39, no. 3-4, pp. 225-261, 2004

Price: EUR 27.50

Locally periodic homogenization

Authors: Benchérif‐Madani, A. | Pardoux, É.

Article Type: Research Article

Abstract: In this paper, two linear second PDEs are homogenized. The coefficients are supposed to be locally periodic, Lipschitz and bounded. Compared to our previous work [1], we provide a new and simpler proof and weaken the hypotheses of the main theorem. We use both probabilistic and analytic arguments.

Keywords: homogenization, parabolic PDE, Poisson equation, diffusion approximation

Citation: Asymptotic Analysis, vol. 39, no. 3-4, pp. 263-279, 2004

Price: EUR 27.50

A variational approach to double‐porosity problems

Authors: Braides, Andrea | Piat, Valeria Chiadò | Piatnitski, Andrey

Article Type: Research Article

Citation: Asymptotic Analysis, vol. 39, no. 3-4, pp. 281-308, 2004

Price: EUR 27.50

Geometric tools of the adiabatic complex WKB method

Authors: Fedotov, Alexander | Klopp, Frédéric

Article Type: Research Article

Abstract: The paper is devoted to the description of the main geometric and analytic tools of a complex WKB method for adiabatic problems. We illustrate their use by numerous examples. Résumé. L'article est consacré à la description des principaux outils géométriques et analytiques d'une méthode WKB complexe pour des problèmes adiabatiques. Nous illustrons leur utilisation par de nombreux exemples.

Keywords: periodic Schrödinger equation, adiabatic perturbations, asymptotics of solutions, complex WKB method

Citation: Asymptotic Analysis, vol. 39, no. 3-4, pp. 309-357, 2004

Price: EUR 27.50
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