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Asymptotic Analysis - Volume 34, issue 1

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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.

Modelling of piezoelectric plates including magnetic effects

Authors: Raoult, Annie | Sène, Abdou

Article Type: Research Article

Abstract: In a previous paper the second author studied the modelling of piezoelectric static thin plates. The present work is concerned with the dynamical case. Magnetic effects are taken into account and we deal with the complete system of Maxwell equations. Moreover, we give an analysis for both an insulated plate and a plate submitted to a difference of potential. These two cases give rise to different behaviours.

Citation: Asymptotic Analysis, vol. 34, no. 1, pp. 1-40, 2003

Price: EUR 27.50

A multiscale colloid transport model with anisotropic degenerate diffusion

Authors: Belhadj, M. | Gerbeau, J.‐F. | Perthame, B.

Article Type: Research Article

Abstract: We consider a weakly coupled semilinear parabolic‐hyperbolic system with a degenerate and anisotropic diffusion. It arises to model the evolution of a chemical or biological tracer in a porous medium. We study the well‐posedness of the system using a L1 theory. Then, we establish the relaxation limit as the reaction constant becomes large. We prove that the system converges to a nonlinear parabolic‐hyperbolic equation that generalizes the Stefan problem. Two specificities of this paper are (i) to deal with ill‐prepared initial data and (ii) with unique entropy solutions based on a precise entropy inequality.

Keywords: transport and reaction in porous media, degenerate parabolic‐hyperbolic system, generalized Stefan problem

Citation: Asymptotic Analysis, vol. 34, no. 1, pp. 41-54, 2003

Price: EUR 27.50

On finite closures of homogenized solutions of nonlinear hyperbolic equations

Authors: Tassa, Tamir

Article Type: Research Article

Abstract: We study nonlinear equations subject to oscillatory initial data. The oscillatory solution of such problems tends to a homogenized weak limit that is characterized by the corresponding homogenized equations. Those equations usually involve an additional independent variable, so that the weak limit is an average of infinitely many functions. In certain cases, however, there is an alternative description to the weak limit via a closed finite system of equations that the weak limit and some of its moments satisfy. We study the question of an existence of such finite closures in the context of semilinear Boltzmann type equations and the … Show more

Citation: Asymptotic Analysis, vol. 34, no. 1, pp. 55-76, 2003

Price: EUR 27.50

The concentration‐compactness principle and the asymptotic behavior for some degenerate parabolic equation

Authors: Tan, Zhong

Article Type: Research Article

Abstract: In this paper we study the existence and asymptotic behavior of the global solutions of some degenerate parabolic equation with critical Sobolev exponent. In particular, we apply the concentration‐compactness principle of P.‐L. Lions to the study of the asymptotic behavior of global solutions with the initial value in “stable set”.

Citation: Asymptotic Analysis, vol. 34, no. 1, pp. 77-91, 2003

Price: EUR 27.50
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