You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

Asymptotic Analysis - Volume 93, issue 4

Purchase individual online access for 1 year to this journal.

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.

Boundary layers generated by singularities in the source function

Authors: Hamouda, Makram | Sboui, Abir

Article Type: Research Article

Abstract: Our aim in this article is to study the Linearized Navier–Stokes (LNS) problem including an interior singularity of the source function. At small viscosity, in addition to the classical boundary layers, interior layers are then developed inside the domain due to the discontinuities appearing in the limit inviscid solution. Using boundary layer functions method, the asymptotic expansion of the viscous solution is constructed and the uniform validity of the approximate solution is then proved.

Keywords: interior layers, correctors, singular problems, discontinuous and non-smooth solution, Navier–Stokes equations

DOI: 10.3233/ASY-151287

Citation: Asymptotic Analysis, vol. 93, no. 4, pp. 281-310, 2015

Price: EUR 27.50

On the convergence of generalized power series satisfying an algebraic ODE

Authors: Gontsov, R.R. | Goryuchkina, I.V.

Article Type: Research Article

Abstract: Here we propose a sufficient condition of the convergence of a generalized power series formally satisfying an algebraic (polynomial) ordinary differential equation. The proof is based on the majorant method.

Keywords: algebraic ODE, formal solution, generalized power series, majorant method, convergent series

DOI: 10.3233/ASY-151297

Citation: Asymptotic Analysis, vol. 93, no. 4, pp. 311-325, 2015

Price: EUR 27.50

Resonances for the radial Dirac operators

Authors: Iantchenko, Alexei | Korotyaev, Evgeny

Article Type: Research Article

Abstract: We consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: (1) asymptotics of counting function, (2) in the massless case we get the trace formula in terms of resonances.

Keywords: resonances, 1D Dirac

DOI: 10.3233/ASY-151298

Citation: Asymptotic Analysis, vol. 93, no. 4, pp. 327-370, 2015

Price: EUR 27.50

Author Index Volume 93 (2015)

Article Type: Other

Citation: Asymptotic Analysis, vol. 93, no. 4, pp. 371-372, 2015

Get PDF
Show more