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Asymptotic Analysis - Volume 3, 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.

Diffusion approximation for a Knudsen gas in a thin domain with accommodation on the boundary

Authors: Babovsky, Hans | Bardos, Claude | Platkowski, Tadeusz

Article Type: Research Article

Abstract: The purpose of this work is to show how a rough boundary described by a diffusive boundary condition may generate a diffusion process in a fluid. At variance with previous results obtained by probalistic argument (cf. Babovsky (1986)), our proof relies entirely on functional analysis. It may be less intuitive but it is convenient for generalization to related phenomena. It is based on the introduction of a small parameter ε which describes the thickness of the domain compared with the effect of the boundary. Since we are aiming at a diffusion process it is also natural to introduce a scaling … Show more

DOI: 10.3233/ASY-1991-3401

Citation: Asymptotic Analysis, vol. 3, no. 4, pp. 265-289, 1991

Price: EUR 27.50

Toeplitz matrices and the theory of one-parameter families of difference operators

Authors: Frank, L.S.

Article Type: Research Article

DOI: 10.3233/ASY-1991-3402

Citation: Asymptotic Analysis, vol. 3, no. 4, pp. 291-300, 1991

Price: EUR 27.50

Asymptotique à grande energie de la phase de diffusion pour un potentiel

Authors: Robert, Didier

Article Type: Research Article

Abstract: About ten years ago several people, Buslaev, Colin de Verdière, Guillopé, and Popov, proved a complete asymptotic expansion, as the energy λ goes to +∞, for the scattering phase s(λ) associated with the Schrödinger operator H=−½Δ+V for compact support, smooth potentials V on Rn . In the present paper, using others techniques, we extend this result to smooth potentials V such that its derivatives of order α are O(|x|−p−|α| ) for some p>n. For V itself this decreasing assumption is more or less optimal.

DOI: 10.3233/ASY-1991-3403

Citation: Asymptotic Analysis, vol. 3, no. 4, pp. 301-320, 1991

Price: EUR 27.50

A global asymptotic expansion for the solution to the generalized Riemann problem

Authors: Le Floch, Philippe | Tatsien, Li

Article Type: Research Article

Abstract: We study the generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. Assuming that this problem has an entropy weak solution globally defined on t≥0 , we construct an asymptotic expansion of this solution, which is also globally defined in time. For technical reasons, we treat the case where the solution is only composed of shock waves or contact discontinuities. We expect that this expansion gives an approximation to the exact solution, which remains valid uniformly in time. Moreover, some improvements of our general results are obtained for the isentropic gas dynamics system.

DOI: 10.3233/ASY-1991-3404

Citation: Asymptotic Analysis, vol. 3, no. 4, pp. 321-340, 1991

Price: EUR 27.50

Author Index Volume 3

Article Type: Other

Citation: Asymptotic Analysis, vol. 3, no. 4, pp. 341-341, 1991

Price: EUR 27.50
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