Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Purchase individual online access for 1 year to this journal.
Price: EUR 420.00Impact 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.
Authors: Nazarov, S.A. | Specovius-Neugebauer, M. | Steigemann, M.
Article Type: Research Article
Abstract: A crack approaching a material interface between two elastic materials may stop or may advance by either penetrating the interface or deflecting into the interface (cf. N.Y. He and J.W. Hutchinson, Int. J. Solids Struct. 25 (1989), 1053–1067). Mathematical models for crack path prediction are based on the asymptotic behavior near the crack tip. In this work, an idea to compute the asymptotic expansion of the displacement field for structures composed of two dissimilar elastic anisotropic materials is shown, if the crack impinges the material interface. In contrast to the well-known case of isotropic materials, logarithmic terms can appear in …the asymptotic decomposition of the displacement field in anisotropic composites. Based on this results, the energy release rate is calculated for different scenarios of crack propagation in composite structures. Show more
Keywords: energy principle, anisotropic composite materials, stress intensity factors, crack propagation
DOI: 10.3233/ASY-131187
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 123-153, 2014
Authors: Said-Houari, Belkacem
Article Type: Research Article
Abstract: In this paper, we study the decay rates of solutions for the generalized Benjamin–Bona–Mahony equation in multi-dimensional space. For initial data in some L1 -weighted spaces, we prove faster decay rates of the solutions. More precisely, using the Fourier transform and the energy method, we show the global existence and the convergence rates of the solutions under the smallness assumption on the initial data and we give better decay rates of the solutions. This result improves early works in J. Differential Equations 158(2) (1999), 314–340 and Nonlinear Anal. 75(7) (2012), 3385–3392.
Keywords: decay of solutions, Benjamin–Bona–Mahony equation, global existence, energy method
DOI: 10.3233/ASY-131191
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 155-164, 2014
Authors: Briane, Marc | Pater, Laurent
Article Type: Research Article
Abstract: In this paper we study the magneto-resistance, i.e. the second-order term of the resistivity perturbed by a low magnetic field, of a three-dimensional composite material. Extending the two-dimensional periodic framework of [Mathematical Models and Methods in Applied Sciences 20(7) (2010), 1161–1177], it is proved through a H-convergence approach that the dissipation energy induced by the effective magneto-resistance is greater or equal to the average of the dissipation energy induced by the magneto-resistance in each phase of the composite. This inequality validates for a composite material the Kohler law which is known for a homogeneous conductor. The case of equality is …shown to be very sensitive to the magnetic field orientation. We illustrate the result with layered and columnar periodic structures. Show more
Keywords: hall effect, homogenization, magneto-resistance, magneto-transport
DOI: 10.3233/ASY-131192
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 165-197, 2014
Authors: Li, Tatsien | Rao, Bopeng
Article Type: Research Article
Abstract: In this paper, the asymptotic null controllability and various kinds of asymptotic synchronization, as some sorts of weakened controllability and synchronization, are introduced and studied for a coupled system of wave equations with Dirichlet boundary controls. Equivalent properties of observability are established and several examples of explanation are also given.
Keywords: asymptotic null controllability, D-observability, asymptotic synchronization, asymptotic null controllability and synchronization by groups, asymptotic synchronization by groups, CD-observability
DOI: 10.3233/ASY-131193
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 199-226, 2014
Authors: Fatori, L.H. | Muñoz Rivera, J.E. | Nunes Monteiro, R.
Article Type: Research Article
Abstract: We consider the thermoelastic beam system when the oscillations are defined by the Timoshenko's model and the heat conduction is given by Green and Naghdi theories. Our main result is that the corresponding semigroup is exponentially stable if and only if the wave speeds associated to the hyperbolic part of the system are equal. In the case of lack of exponential stability we show that the solution decays polynomially and we prove that the rate of decay is optimal.
Keywords: Timoshenko system, decay rates, optimality of polynomial stability
DOI: 10.3233/ASY-131196
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 227-247, 2014
Article Type: Other
Citation: Asymptotic Analysis, vol. 86, no. 3-4, pp. 249-249, 2014
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl