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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.
Authors: Helffer, B. | Robert, D.
Article Type: Research Article
DOI: 10.3233/ASY-1990-3201
Citation: Asymptotic Analysis, vol. 3, no. 2, pp. 91-103, 1990
Authors: Racke, Reinhard
Article Type: Research Article
Abstract: Lp -Lq decay estimates are proved for the solution of an initial boundary value problem in linear thermoelasticity. A method using generalized eigenfunction expansions is presented.
DOI: 10.3233/ASY-1990-3202
Citation: Asymptotic Analysis, vol. 3, no. 2, pp. 105-132, 1990
Authors: Boudourides, Moses A. | Nikoudes, Apostolos C.
Article Type: Research Article
Abstract: We consider the dynamical system associated with the magnetic Bénard problem and show the existence of a maximal attractor in two-dimensional flows. We derive estimates on the Lyapunov exponents, the Hausdorff and fractal dimension of the attractor in the two-dimensional case. Finally, we obtain similar physical bounds for three-dimensional flows.
DOI: 10.3233/ASY-1990-3203
Citation: Asymptotic Analysis, vol. 3, no. 2, pp. 133-144, 1990
Authors: De Arcangelis, Riccardo | Serra Cassano, Francesco
Article Type: Research Article
DOI: 10.3233/ASY-1990-3204
Citation: Asymptotic Analysis, vol. 3, no. 2, pp. 145-171, 1990
Authors: Nagasaki, Ken'ichi | Suzuki, Takashi
Article Type: Research Article
Abstract: This paper is concerned with the asymptotic behavior of solutions of the nonlinear elliptic eigenvalue problem −Δu=λf(u), u>0 in Ω, u=0 on ∂Ω, for λ↓0, where Ω is a bounded domain in R2 and f(u) is an exponentially dominated nonlinear function. Under appropriate assumptions, we show that as λ↓0, {Σ}={λfΩ eu dx} for solutions {u} accumulate to 0, 8πm, or +∞, where m is a positive integer. Moreover, according to these cases, the {u} converge to 0 uniformly, blow up exactly at m points, or everywhere in Ω.
DOI: 10.3233/ASY-1990-3205
Citation: Asymptotic Analysis, vol. 3, no. 2, pp. 173-188, 1990
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