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: Casado-Díaz, Juan
Article Type: Research Article
Abstract: The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in L N ( Ω ) , with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobolev space H 0 1 ( Ω ) . However, because the operators are not coercive, there is no uniform estimate of the solutions in this space. We use some estimates …in (J. Differential Equations 258 (2015) 2290–2314), and a regularization obtained by adding a small nonlinear first order term, to pass to the limit in these problems. Show more
Keywords: Asymptotic behavior, elliptic problem, drift term, varying coefficients
DOI: 10.3233/ASY-241914
Citation: Asymptotic Analysis, vol. 140, no. 3-4, pp. 147-158, 2024
Authors: Guan, Minlan | Lai, Lizhen | Liu, Boxue | Qin, Dongdong
Article Type: Research Article
Abstract: In this paper, we study the following Hamilton–Choquard type elliptic system: − Δ u + u = ( I α ∗ F ( v ) ) f ( v ) , x ∈ R 2 , − Δ v + v = ( I β ∗ F ( u ) ) f ( u ) , x ∈ R 2 , where I α …and I β are Riesz potentials, f : R → R possessing critical exponential growth at infinity and F ( t ) = ∫ 0 t f ( s ) d s . Without the classic Ambrosetti–Rabinowitz condition and strictly monotonic condition on f , we will investigate the existence of ground state solution for the above system. The strongly indefinite characteristic of the system, combined with the convolution terms and critical exponential growth, makes such problem interesting and challenging to study. With the help of a proper auxiliary system, we employ an approximation scheme and the non-Nehari manifold method to control the minimax levels by a fine threshold, and succeed in restoring the compactness for the critical problem. Existence of a ground state solution is finally established by the concentration compactness argument and some detailed estimates. Show more
Keywords: Hamilton–Choquard elliptic system, Critical exponential growth, Ground state solution, Trudinger–Moser inequality
DOI: 10.3233/ASY-241916
Citation: Asymptotic Analysis, vol. 140, no. 3-4, pp. 159-189, 2024
Authors: Moutinho, Abdon
Article Type: Research Article
Abstract: In this paper, we consider the problem of elasticity and stability of the collision of two kinks with low speed v for the nonlinear wave equation known as the ϕ 6 model in dimension 1 + 1 . We construct a sequence of approximate solutions ( ϕ k ( v , t , x ) ) k ∈ N ⩾ 2 for this model to understand the effects of the collision in the movement of each soliton during a …large time interval. The construction uses a new asymptotic method which is not only restricted to the ϕ 6 model. Show more
Keywords: Kink, soliton, ϕ6 model, non-integrable model, scalar field, partial differential equation, ordinary differential equation, collision
DOI: 10.3233/ASY-241917
Citation: Asymptotic Analysis, vol. 140, no. 3-4, pp. 191-280, 2024
Authors: Disconzi, Marcelo M. | Shao, Yuanzhen
Article Type: Research Article
Abstract: We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems. We provide a self-contained and simple proof of local well-posedness, in the Hadamard sense, of the Cauchy problem. Our regularity assumptions are very minimal. As an application, we apply our results to systems of ideal and viscous relativistic fluids, where the theory of strongly hyperbolic equations has been systematically used to study several systems of physical interest.
Keywords: Strong hyperbolicity, first-order quasilinear systems, relativistic fluids
DOI: 10.3233/ASY-241919
Citation: Asymptotic Analysis, vol. 140, no. 3-4, pp. 281-302, 2024
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
[email protected]
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office [email protected]
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
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
如果您在出版方面需要帮助或有任何建, 件至: [email protected]