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Asymptotic Analysis - Volume 86, 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.

Homogenization of diffusion–deformation in dual-porous medium with discontinuity interfaces

Authors: Griso, Georges | Rohan, Eduard

Article Type: Research Article

Abstract: Models of homogenized fluid-saturated dual-porous media with weak, or strong discontinuity interfaces (resembling fissures) are derived using the periodic unfolding method. Stress discontinuities at the interfaces are admitted, requesting further restrictions on the applied external forces. The limit models, obtained by a rigorous asymptotic analysis, reflect some non-local effects inherited from the microstructural interactions. In view of obtaining the a priori estimates, standard approaches based on smooth extensions, well fitted for perforated or high-contrast media, cannot be adopted for fissured domains. Therefore, a new approach is developed which enables to control the norm of some “off-diagonal” terms which in the … Show more

Keywords: porous media, dual porosity, periodic homogenization, high-contrast media, discontinuity interfaces, diffusion–deformation

DOI: 10.3233/ASY-131189

Citation: Asymptotic Analysis, vol. 86, no. 2, pp. 59-98, 2014

Price: EUR 27.50

Small mass asymptotics of a charged particle in a variable magnetic field

Authors: Lee, Jong Jun

Article Type: Research Article

Abstract: We consider small mass asymptotics of the motion of a charged particle in a noisy force field combined with a variable magnetic field. The Smoluchowski–Kramers approximation does not hold in this case. We show that after a regularization of noise, a Smoluchowski–Kramers type approximation works.

Keywords: small mass asymptotics, Smoluchowski–Kramers approximation, homogenization

DOI: 10.3233/ASY-131185

Citation: Asymptotic Analysis, vol. 86, no. 2, pp. 99-121, 2014

Price: EUR 27.50
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