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 116, issue 1

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.

Pressure-driven flow in thin domains

Authors: Fabricius, John | Miroshnikova, Elena | Tsandzana, Afonso | Wall, Peter

Article Type: Research Article

Abstract: We study the asymptotic behavior of pressure-driven Stokes flow in a thin domain. By letting the thickness of the domain tend to zero we derive a generalized form of the classical Reynolds–Poiseuille law, i.e. the limit velocity field is a linear function of the pressure gradient. By prescribing the external pressure as a normal stress condition, we recover a Dirichlet condition for the limit pressure. In contrast, a Dirichlet condition for the velocity yields a Neumann condition for the limit pressure.

Keywords: Stokes equation, pressure boundary condition, two-scale convergence, thin domain, Bogovskii operator, Korn inequality

DOI: 10.3233/ASY-191535

Citation: Asymptotic Analysis, vol. 116, no. 1, pp. 1-26, 2020

Price: EUR 27.50

Logarithmic Bose–Einstein condensates with harmonic potential

Authors: Ardila, Alex H. | Cely, Liliana | Squassina, Marco

Article Type: Research Article

Abstract: In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrödinger equation with harmonic potential. We then address the existence of ground states solutions as minimizers of the action on the Nehari manifold. Finally, we explicitly compute ground states (Gausson-type solution) and we show their orbital stability.

Keywords: Logarithmic Schrödinger equation, harmonic potential, stability

DOI: 10.3233/ASY-191538

Citation: Asymptotic Analysis, vol. 116, no. 1, pp. 27-40, 2020

Price: EUR 27.50

Existence and uniqueness solution for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms

Authors: Mavoungou, Urbain Cyriaque | Moukoko, Daniel | Langa, Franck Davhys Reval | Ampini, Dieudonné

Article Type: Research Article

Abstract: In this article, we study the existence and uniqueness solution for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms with homogenous Dirichlet boundary conditions, in a bounded smooth domain.

Keywords: Hyperbolic relaxation Caginalp phase-field system, logarithmic potential, Dirichlet boundary conditions

DOI: 10.3233/ASY-191539

Citation: Asymptotic Analysis, vol. 116, no. 1, pp. 41-72, 2020

Price: EUR 27.50
Show more