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Asymptotic Analysis - Volume 96, issue 2

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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.

Global attractor of atmospheric equations

Authors: Hong, Youngjoon

Article Type: Research Article

Abstract: We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water. In this article, we aim to show the existence of a global attractor for a model problem.

Keywords: primitive equations, global attractor, dynamical system, phase change, variational inequality

DOI: 10.3233/ASY-151332

Citation: Asymptotic Analysis, vol. 96, no. 2, pp. 91-107, 2016

Price: EUR 27.50

Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line

Authors: Shimojo, Masahiko | Kagaya, Takashi

Article Type: Research Article

Abstract: The asymptotic behavior of solutions to an area-preserving curvature flow of planar curves in the upper half plane is investigated. Two endpoints of the curve slide along the horizontal axis with prescribed fixed contact angles. First, by establishing an isoperimetric inequality, we prove the global existence of the solution. We then study the asymptotic behavior of solutions with concave initial data near a traveling wave.

Keywords: curvature flow, free boundary problem, motion of planar curves, area-preserving, isoperimetric ratio, traveling wave

DOI: 10.3233/ASY-151335

Citation: Asymptotic Analysis, vol. 96, no. 2, pp. 109-134, 2016

Price: EUR 27.50

Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field

Authors: Alves, Claudianor O. | Figueiredo, Giovany M. | Yang, Minbo

Article Type: Research Article

Abstract: In the present paper, we study the existence of multiple solutions for a nonlinear Choquard equation in the presence of a magnetic field. Using variational methods, penalization techniques and Ljusternik–Schnirelmann theory, we relate the number of solutions with the topology of the set where the potential attains its minimum value.

Keywords: Choquard equation, magnetic field, variational methods, penalization techniques, Ljusternik–Schnirelmann theory

DOI: 10.3233/ASY-151337

Citation: Asymptotic Analysis, vol. 96, no. 2, pp. 135-159, 2016

Price: EUR 27.50

Multiple solutions for a class of quasilinear problems involving variable exponents

Authors: Alves, Claudianor O. | Barreiro, José L.P.

Article Type: Research Article

Abstract: In this paper we prove the multiplicity of solutions for a class of quasilinear problems in R N involving variable exponents. The main tool used in the proof are the variational methods, Ekeland’s variational principle and some properties related to Nehari manifold.

Keywords: existence, multiplicity, variable exponents, variational methods

DOI: 10.3233/ASY-151340

Citation: Asymptotic Analysis, vol. 96, no. 2, pp. 161-184, 2016

Price: EUR 27.50
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