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Asymptotic Analysis - Volume 11, 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 models for two-dimensional grid structures

Authors: Banks, H.T. | Cioranescu, D. | Rebnord, D.A.

Article Type: Research Article

Abstract: A Love-Kirchhoff perforated plate or grid with Kelvin-Voigt damping is considered. The grid contains periodic rectangular holes. Detailed mathematical arguments for the derivation of an approximate homogenized model on a domain without perforations are given.

DOI: 10.3233/ASY-1995-11201

Citation: Asymptotic Analysis, vol. 11, no. 2, pp. 107-130, 1995

Price: EUR 27.50

Bounds for the dimensions of the attractors of non-linear bipolar viscous fluids

Authors: Bellout, Hamid | Bloom, Frederick | Nečas, Jindrich

Article Type: Research Article

Abstract: The existence of a maximal global attractor is demonstrated for the dynamical system generated by the initial boundary value problem associated with the motion of a non-linear bipolar fluid; the attractor has the form A=∩t>0 S(t)Bρ′ (H2 (Ω))3 where S(t) is the relevant non-linear semigroup and Bρ′ (H2 (Ω))3 (the ball of radius ρ′>0 in (H2 (Ω))3 ) is, for ρ′ sufficiently large, an absorbing set. Upper bounds are obtained for the Hausdorff and Fractal dimensions of the attractor A.

DOI: 10.3233/ASY-1995-11202

Citation: Asymptotic Analysis, vol. 11, no. 2, pp. 131-167, 1995

Price: EUR 27.50

On the Hausdorff dimension of n×m concentration sets

Authors: Bildhauer, Michael

Article Type: Research Article

Abstract: The Hausdorff dimension of n×m concentration sets is studied. Uniform dimension estimates at each cross section in Rn and Hölder continuity in Rm are used to deduce dimension estimates in Rn+m .

DOI: 10.3233/ASY-1995-11203

Citation: Asymptotic Analysis, vol. 11, no. 2, pp. 169-184, 1995

Price: EUR 27.50

Existence of exceptional growing-up solutions for a class of non-linear second order ordinary differential equations

Authors: Souplet, Philippe

Article Type: Research Article

Abstract: We establish the existence of nontrivial global solutions for the ordinary differential equation u″+f(u)=g(u′), when f is at most linear and g is superlinear. We then provide a result of global uniqueness in certain classes of power-like functions for general autonomous second order ordinary differential equations. This result allows us to show the exceptional character of the global solutions for a class of equations including u″+u=|u′|p−1 u′, for p>1.

DOI: 10.3233/ASY-1995-11204

Citation: Asymptotic Analysis, vol. 11, no. 2, pp. 185-207, 1995

Price: EUR 27.50
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