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 13, issue 3

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.

Travelling waves in shallow water

Authors: Frank, L.S.

Article Type: Research Article

Abstract: Quasi-stationary surface water waves propagating along a distinguished space direction in an infinite channel of finite depth are considered under the assumption that the liquid is inviscid irrotational and incompressible. Besides the gravitation effect also the capillary phenomenon is taken into consideration. After rescaling the mathematical problem is reduced to a singularly perturbed pseudodifferential equation on the free boundary of the liquid. Depending on the values of two basic dimensionless parameters, the rescaled speed of propagation and the parameter characterizing the surface tension (capillarity), the existence of different kind of quasi-stationary waves (periodic, solitary and their superposition) is established for … Show more

DOI: 10.3233/ASY-1996-13301

Citation: Asymptotic Analysis, vol. 13, no. 3, pp. 217-252, 1996

Price: EUR 27.50

Homogenization for thermoconductivity in a porous medium with periods of different orders in the different directions

Authors: Bakhvalov, N.S. | Saint Jean Paulin, J.

Article Type: Research Article

Abstract: We study here the problem of heat transfer in a porous medium consisting of a homogeneous isotropic material. We assume that the period of the medium is not the same in the two directions and that the ratio of these two periods tends to zero. We find the explicit representation of the coefficients of the averaged equations and prove strong convergence to the solution of the averaged problem.

DOI: 10.3233/ASY-1996-13302

Citation: Asymptotic Analysis, vol. 13, no. 3, pp. 253-276, 1996

Price: EUR 27.50

Critical points of the Ginzburg–Landau system on a Riemannian surface

Authors: Baraket, Sami

Article Type: Research Article

Abstract: We study here the Ginzburg-Landau functional on a Riemannian surface S endowed with an arbitrary metric Eε (u)=½∫𝒮 ||∇u||2 +1/(4ε2 )∫𝒮 (|u|2 −1)2 , u∈H1 (S,C), where ε∈]0,+∞[. We study the asymptotic behaviour of the critical points for Eε as ε→0. We define a renormalized energy which allows to characterize the position of the singularities at the limit.

DOI: 10.3233/ASY-1996-13303

Citation: Asymptotic Analysis, vol. 13, no. 3, pp. 277-317, 1996

Price: EUR 27.50
Show more