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 113, 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.

Viscosity solutions of systems of PDEs with interconnected obstacles and switching problem without monotonicity condition

Authors: Hamadène, Said | Mnif, Mohamed | Neffati, Sarra

Article Type: Research Article

Abstract: We show the existence and uniqueness of a continuous viscosity solution of a system of partial differential equations (PDEs for short) without assuming the usual monotonicity conditions on the driver function as in Hamadène and Morlais’s article [Applied Mathematics & Optimization 67 (2013), 163–196]. Our method strongly relies on the link between PDEs and reflected backward stochastic differential equations with interconnected obstacles for which we already know that the solution exists and is unique for general drivers.

Keywords: Partial differential equations, interconnected obstacles, viscosity solution, multi-modes switching, HJB system, reflected backward stochastic differential equations

DOI: 10.3233/ASY-181508

Citation: Asymptotic Analysis, vol. 113, no. 3, pp. 123-136, 2019

Price: EUR 27.50

Singular limits of the equations of compressible ideal magneto-hydrodynamics in a domain with boundaries

Authors: Ju, Qiangchang | Schochet, Steve | Xu, Xin

Article Type: Research Article

Abstract: Singular limits of the equations of compressible ideal magneto-hydrodynamics with physical boundary conditions are considered. The uniform existence of classical solutions with respect to the Mach number and Alfvén number is established by energy methods. Under appropriate conditions on the initial data, convergence of the solutions of the original system is proved as the two small parameters tend to zero with the limiting solutions satisfying the two-dimensional incompressible flow.

Keywords: Compressible ideal magneto-hydrodynamics, Mach number, Alfvén number, singular limits

DOI: 10.3233/ASY-181509

Citation: Asymptotic Analysis, vol. 113, no. 3, pp. 137-165, 2019

Price: EUR 27.50

Dynamics and stability of the 3D Brinkman–Forchheimer equation with variable delay (I)

Authors: Li, Lu | Yang, Xin-Guang | Li, Xuezhi | Yan, Xingjie | Lu, Yongjin

Article Type: Research Article

Abstract: The tempered pullback dynamics of the 3D Brinkman–Forchheimer equation with variable delay has been studied in this paper. With the different universes which has some topology property, the existence of minimal and unique family of pullback attractors were obtained. Moreover, the convergence of pullback attractors for the 3D Brinkman–Forchheimer equation as delay term vanishes is also been proved, i.e., the upper semi-continuity of attractors.

Keywords: Brinkman–Forchheimer equation, delay, upper semi-continuity, universe, tempered pullback attractors

DOI: 10.3233/ASY-181512

Citation: Asymptotic Analysis, vol. 113, no. 3, pp. 167-194, 2019

Price: EUR 27.50
Show more