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Asymptotic Analysis - Volume 6, 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.

On a penalization of the Child–Langmuir emission condition for the one-dimensional Vlasov–Poisson equation

Authors: Degond, P. | Raviart, P.A.

Article Type: Research Article

Abstract: In a preceding paper, an asymptotic analysis of the one dimensional Vlasov–Poisson was presented. That analysis accounted for the “Child–Langmuir regime”, when the injected particle energy is small compared with the applied external bias. In the present paper, we propose a numerical algorithm for solving the Vlasov-Poisson equations in the “Child–Langmuir regime”. The crucial step of the algorithm is a penalization of the “Child–Langmuir emission condition”, which is proved to converge in the one-dimensional case.

DOI: 10.3233/ASY-1992-6101

Citation: Asymptotic Analysis, vol. 6, no. 1, pp. 1-27, 1992

Price: EUR 27.50

Semi-excited states in nondegenerate potential wells

Authors: Sjöstrand, Johannes

Article Type: Research Article

Abstract: We consider −h2 Δ+V on Rn , when V is smooth, real-valued and has a unique minimum at 0 which is nondegenerate: V(0)=0,V″(0)>0. We also assume that lim inf |x|→∞ V(x)>0. For any fixed δ>0 we get uniform asymptotic formulas for the eigenvalues up to hδ , when h→0. The proofs use Birkhoff normal forms and pseudodifferential functional calculus.

DOI: 10.3233/ASY-1992-6102

Citation: Asymptotic Analysis, vol. 6, no. 1, pp. 29-43, 1992

Price: EUR 27.50

Asymptotic implicit function theorems

Authors: Gérard, R. | Jurkat, W.B.

Article Type: Research Article

Abstract: In this paper we are extending the classical preparation theorem and division theorem to an asymptotic case.

DOI: 10.3233/ASY-1992-6103

Citation: Asymptotic Analysis, vol. 6, no. 1, pp. 45-71, 1992

Price: EUR 27.50

Asymptotic modeling of the elastodynamics of a multi-structure

Authors: Raoult, Annie

Article Type: Research Article

Abstract: We consider a structure consisting of two parts: a three-dimensional linearly elastic body and a linearly elastic plate. The plate is inserted into the three-dimensional body. We perform an asymptotic analysis of the time-dependent behavior of the structure during the time-interval [0,T] when the thickness of the plate goes to zero. Under specific assumptions on the data (Lame constants, mass densities, loads), we establish the existence of a limit problem. This limit problem is a system of coupled partial differential equations posed over a three-dimensional body with a slit and the middle surface of the plate. Strong convergence in L2 … Show more

DOI: 10.3233/ASY-1992-6104

Citation: Asymptotic Analysis, vol. 6, no. 1, pp. 73-108, 1992

Price: EUR 27.50
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