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Asymptotic Analysis - Volume 9, issue 3

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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.

Inertial effects in the asymptotic behavior of a thin film flow

Authors: Assemien, Ahiko | Bayada, Guy | Chambat, Michèle

Article Type: Research Article

Abstract: We study the dependence with respect to the domain of the constants appearing in some Sobolev embeddings. It shows that the inertial effects are negligible at the first order for the asymptotic behavior of a thin film flow. The influence of the inertial effects is obtained at the second order in the asymptotic expansions of the pressure and velocity, with full convergence argument for chosen boundary conditions.

DOI: 10.3233/ASY-1994-9301

Citation: Asymptotic Analysis, vol. 9, no. 3, pp. 177-208, 1994

Price: EUR 27.50

Proof of the Landau–Zener formula

Authors: Joye, Alain

Article Type: Research Article

Abstract: We consider the time dependent Schrodinger equation in the adiabatic limit when the Hamiltonian is an analytic unbounded operator. It is assumed that the Hamiltonian possesses for any time two instantaneous non-degenerate eigenvalues which display an avoided crossing of finite minimum gap. We prove that the probability of a quantum transition between these two non-degenerate eigenvalues is given in the adiabatic limit by the well-known Landau–Zener formula.

DOI: 10.3233/ASY-1994-9302

Citation: Asymptotic Analysis, vol. 9, no. 3, pp. 209-258, 1994

Price: EUR 27.50

Isolated singularities and asymptotic behaviour of the solutions of a semi-linear heat equation

Authors: Moutoussamy, I. | Veron, L.

Article Type: Research Article

Abstract: We study here the limit properties of the solutions of the following singular problem (1) ut −Δu+u|u|p−l =0 in RN ×R+ \{(0,0)} with u(x,0)=0 if x≠(0,0). We transform the equation from an autonomous dynamical system into a weighted Sobolev space and look for the limit set of a trajectory of such a system. By using an energy method, we obtain a theorem of classification of singularities of the solutions of (1). By using the same methods we study the asymptotic behaviour of the solutions and some global singular solutions.

DOI: 10.3233/ASY-1994-9303

Citation: Asymptotic Analysis, vol. 9, no. 3, pp. 259-289, 1994

Price: EUR 27.50

Stability of resonances under smooth perturbations of the boundary

Authors: Stefanov, P.D.

Article Type: Research Article

Abstract: We prove that the resonances related to a second order elliptic differential operator with Dirichlet boundary conditions are stable in each compact of the complex plane under small C2 -perturbations of the boundary and small changes of the coefficients.

DOI: 10.3233/ASY-1994-9304

Citation: Asymptotic Analysis, vol. 9, no. 3, pp. 291-296, 1994

Price: EUR 27.50
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