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Asymptotic Analysis - Volume 5, issue 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.

Estimates for vertical points of solutions of prescribed mean curvature type equations II

Authors: Atkinson, F.V. | Peletier, L.A. | Serrin, J.

Article Type: Research Article

Abstract: Radially symmetric solutions u(r) of the prescribed mean curvature equation involving a source term f(u) may exhibit vertical points. In this paper we study the asymptotic properties of these vertical points when f is positive and increasing and the parameter ε=f′/f2 becomes small. Our results are based on a sharp asymptotic estimate for Delaunay surfaces as the distance of the vertical points nearest to the symmetry axis r=0 tends to zero.

DOI: 10.3233/ASY-1992-5401

Citation: Asymptotic Analysis, vol. 5, no. 4, pp. 283-310, 1992

Price: EUR 27.50

Correctors for the homogenization of conservation laws with oscillatory forcing terms

Authors: E, Weinan | Serre, Denis

Article Type: Research Article

Abstract: We prove a corrector type result for the homogenization of scalar conservation laws with oscillatory forcing terms. The proof makes use of the concept of two-scale Young measure which is a generalization of the classical Young measure.

DOI: 10.3233/ASY-1992-5402

Citation: Asymptotic Analysis, vol. 5, no. 4, pp. 311-316, 1992

Price: EUR 27.50

Etude d'une limite singulière d'un modèle intervenant en combustion

Authors: Glangetas, L.

Article Type: Research Article

Abstract: We consider solutions (uε ,vε ,cε ) of a system of two nonlinear differential equations −u″ε +cε u′ε =fε (uε )vε , −Λv″ε +cε v′ε =−fε (uε )vε on R with the boundary conditions uε (−∞)=0, uε (+∞)=1, vε (−∞)=1, vε (+∞)=0. We investigate the asymptotic behavior of (uε ,vε ,cε ) as ε→0 and fε (u)(1−u) behaves as a Dirac distribution. This singular limit corresponds to some combustion models (planar flame propagations) for high activation energy asymptotics.

DOI: 10.3233/ASY-1992-5403

Citation: Asymptotic Analysis, vol. 5, no. 4, pp. 317-342, 1992

Price: EUR 27.50

Résultats de contrôlabilité exacte interne pour l'équation de Schrödinger et leurs limites asymptotiques: application à certaines équations de plaques vibrantes

Authors: Fabre, Caroline

Article Type: Research Article

Abstract: We are interested in several problems of exact controllability related to the Schrödinger equation and the vibrating plate equation with boundary conditions on y and Δy. In particular, the study of the exact internal controllability when the control is distributed and acts on an ε-neighborhood of a part of the boundary (satisfying some geometrical conditions) and the passage to the limit when ε goes to 0 will give us results on the exact controllability of the plate equation when the control acts on the boundary.

DOI: 10.3233/ASY-1992-5404

Citation: Asymptotic Analysis, vol. 5, no. 4, pp. 343-379, 1992

Price: EUR 27.50
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