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Asymptotic Analysis - Volume 86, 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.

Some properties of solutions of some semilinear elliptic singular problems and applications to the G-convergence

Authors: Boccardo, Lucio | Casado-Díaz, Juan

Article Type: Research Article

Abstract: This paper concerns some semilinear elliptic singular problems. The aim is twofold: the study of some properties of the solutions and the study of the G-convergence.

Keywords: elliptic singular problems, G-convergence

DOI: 10.3233/ASY-131179

Citation: Asymptotic Analysis, vol. 86, no. 1, pp. 1-15, 2014

Price: EUR 27.50

Random homogenization for a fluid flow through a membrane

Authors: Maris, F. | Vernescu, B.

Article Type: Research Article

Abstract: Effective boundary conditions for the flow of a viscous fluid across randomly leaky permeable membranes are studied. Threshold leak conditions of subgradient type, introduced by Fujita [Res. Inst. Math. Sci. Kokyuroku 888 (1994), 199–216, J. Comp. Appl. Math. 149(1) (2002), 56–79], are considered on the randomly distributed solid part of the membrane. The effective conditions are of subgradient type with an effective yield limit, in the case of a densely distributed solid part, or of Navier slip type, in the critical case; in the dilute case the tangential slip cancels, whereas the normal velocity and stress are continuous. We thus … Show more

Keywords: stochastic homogenization, permeable membranes, threshold leak, Mosco convergence

DOI: 10.3233/ASY-131188

Citation: Asymptotic Analysis, vol. 86, no. 1, pp. 17-48, 2014

Price: EUR 27.50

On the wave operator for dissipative potentials with small imaginary part

Authors: Wang, Xue Ping | Zhu, Lu

Article Type: Research Article

Abstract: We determine the range of the incoming wave operator for the pair of operators (−Δ,−Δ+V1 (x)−iεV2 (x)) on L2 (Rn ) under the conditions n≥3 and 0 is a regular point of −Δ+V1 , V2 ≥0 and ε>0 is small enough. This implies that the dissipative scattering operator is bijective.

Keywords: dissipative quantum scattering, asymptotic completeness, non-selfadjoint Schrödinger operators

DOI: 10.3233/ASY-131190

Citation: Asymptotic Analysis, vol. 86, no. 1, pp. 49-57, 2014

Price: EUR 27.50
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