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Asymptotic Analysis - Volume 31, 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 shape of a least energy solution to an elliptic free‐boundary problem with non‐autonomous nonlinearity

Authors: Shibata, Masataka

Article Type: Research Article

Citation: Asymptotic Analysis, vol. 31, no. 1, pp. 1-42, 2002

Price: EUR 27.50

Justification of the dynamic model of curved rods

Authors: Tambača, Josip

Article Type: Research Article

Abstract: In this work the asymptotic behaviour of the solution of the evolution problem of three‐dimensional linearized elastic curved rod‐like bodies with respect to the small thickness ε of the rod is analyzed. It is found that, when ε tends to zero, the solution converges, in an appropriate sense, to a single space‐variable function being an inextensible displacement. Together with an additional function, describing the rotation angle of the cross‐sections, it is identified as the unique solution of the one‐dimensional evolution problem of curved rods, posed on the middle curve of the rod. The differential equations of the model are obtained.

Keywords: linearized elasticity, evolution equation, asymptotic analysis, curved rod model

Citation: Asymptotic Analysis, vol. 31, no. 1, pp. 43-68, 2002

Price: EUR 27.50

Rigorous derivation of the nonlinear Schrödinger equation and Davey–Stewartson systems from quadratic hyperbolic systems

Authors: Colin, Thierry

Article Type: Research Article

Abstract: In this paper, we derive rigorously the nonlinear Schrödinger equation and Davey–Stewartson systems from quadratic hyperbolic systems using nonlinear diffractive geometric optics. We construct approximate solutions and prove the convergence of the asymptotic expansion. The keys of this work is to consider only systems of a particular form introduced in [20], which include Maxwell–Bloch system, and which satisfy a “transparency” hypothesis.

Keywords: geometric optics, nonlinear Schrödinger equation, Davey–Stewartson systems

Citation: Asymptotic Analysis, vol. 31, no. 1, pp. 69-91, 2002

Price: EUR 27.50
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