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Asymptotic Analysis - Volume 27, issue 1

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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.

Asymptotic stability of almost periodic systems of impulsive differential‐difference equations

Authors: Stamov, Gani T.

Article Type: Research Article

Abstract: By means of piecewise continuous functions which are analogues of Lyapunov's functions sufficient conditions for the asymptotic stability of almost periodic systems of impulsive differential‐difference equations are obtained.

Keywords: almost periodic function, impulsive differential‐difference equation

Citation: Asymptotic Analysis, vol. 27, no. 1, pp. 1-8, 2001

Price: EUR 27.50

On the boundary behaviour of the Riemannian structure of a self‐concordant barrier function

Authors: Duistermaat, J.J.

Article Type: Research Article

Citation: Asymptotic Analysis, vol. 27, no. 1, pp. 9-46, 2001

Price: EUR 27.50

Diffusion driven by collisions with the boundary

Authors: Degond, P. | Mancini, S.

Article Type: Research Article

Abstract: We present a mathematically rigorous derivation of a diffusion model previously introduced by the first author to model the diffusion of charged‐particles moving in the gap between two plane parallel plates. The particles are subject to crossed electric and magnetic fields and to collisions against the surface of the solid plates. The surface collisions are supposed to be elastic. Under appropriate scaling assumptions, the particle distribution function converges to a function of the energy and of the longitudinal position coordinates only, which evolves in time according to a diffusion equation. A rigorous convergence proof is given. The proof relies on … Show more

Keywords: diffusion approximation, transport equation, accomodation boundary condition, transport–diffusion equation, spherical harmonics expansion model, moment method, Hilbert expansion, Onsager relation

Citation: Asymptotic Analysis, vol. 27, no. 1, pp. 47-73, 2001

Price: EUR 27.50

Mathematical model for elastic beams with longitudinally variable depth

Authors: Alvarez‐Vázquez, L.J. | Samartín, A. | Viaño, J.M.

Article Type: Research Article

Abstract: In this work we introduce a new mathematical model for elastic beams with a cross‐section of constant width and longitudinally variable depth, obtained from the classical three‐dimensional linear elasticity problem by using an asymptotic expansion method. We characterize the first‐ and second‐order displacements and the first‐order stress field, giving results related to existence, uniqueness and convergence for the limit model solution. Finally, we present the computations for a classical example.

Keywords: beam, longitudinally variable depth, asymptotic analysis, linear elasticity, limit model

Citation: Asymptotic Analysis, vol. 27, no. 1, pp. 75-93, 2001

Price: EUR 27.50
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