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Asymptotic Analysis - Volume 13, 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.

Second term of the asymptotic expansion of the diffracted wave in the shadow

Authors: Lafitte, Olivier

Article Type: Research Article

Abstract: In this paper we calculate the second order term of the Neumann operator for the high frequency scattering of a wave by a strictly convex obstacle Ω using the techniques introduced by G. Lebeau and used in previous works. This second term is used to calculate the scattering by Ω⊂R2 , and the result is compared to previous results of V. Babich and I. Molotkov. We generalize the calculation when Ω⊂R3 .

DOI: 10.3233/ASY-1996-13401

Citation: Asymptotic Analysis, vol. 13, no. 4, pp. 319-359, 1996

Price: EUR 27.50

Some singular limits for evolutionary Ginzburg–Landau equations

Authors: Colin, T. | Soyeur, A.

Article Type: Research Article

Abstract: We give some partial results regarding to evolutionary dispersive Ginzburg–Landau equations associated to the static case considered in Béthuel, Brezis and Hélein [1]. We treat the partially dissipative case. Moreover we perform an exact “semi-classical” limit. We obtain alternatively the Laplace, heat and wave equations as limit equation, depending on the scaling that we consider.

DOI: 10.3233/ASY-1996-13402

Citation: Asymptotic Analysis, vol. 13, no. 4, pp. 361-372, 1996

Price: EUR 27.50

Double well Stark effect: crossing and anticrossing of resonances

Authors: Grecchi, Vincenzo | Martinez, Andre | Sacchetti, Andrea

Article Type: Research Article

Abstract: We consider the semiclassical Stark effect for a family of asymmetric unstable double well models and we study the crossing and anticrossing of the field dependent resonances in the complex field plane. We prove that a Bender-Wu type singularity crosses the real axis when the internal barrier is nearly twice “larger” than the external one and the beating period is close to the shorter life-time of the resonances. At this critical point we have the anticrossing-crossing transition and for larger instability we have the single well localization.

DOI: 10.3233/ASY-1996-13403

Citation: Asymptotic Analysis, vol. 13, no. 4, pp. 373-391, 1996

Price: EUR 27.50

Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field

Authors: Sobolev, Alexander V.

Article Type: Research Article

Abstract: We study the sum of negative eigenvalues M(h,μ) of the Schrödinger operator HV (h,μ) in L2 (R3 ) with a decaying at infinity potential V and a homogeneous magnetic field of intensity μ. The parameter h denotes the Planck constant. Assuming that V has a finite number of Coulomb singularities and is smooth outside them, we establish the two-term asymptotics of M(h,μ) as h→0 and μ→∞. The second term is determined only by the singularities of V and it turns out to be the same as in the case μ=0.

DOI: 10.3233/ASY-1996-13404

Citation: Asymptotic Analysis, vol. 13, no. 4, pp. 393-421, 1996

Price: EUR 27.50

Author Index Volume 13 (1996)

Article Type: Other

Citation: Asymptotic Analysis, vol. 13, no. 4, pp. 423-424, 1996

Price: EUR 27.50
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