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Asymptotic Analysis - Volume 53, 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.

Inviscid limit for the two-dimensional Navier–Stokes system in a critical Besov space

Authors: Hmidi, Taoufik | Keraani, Sahbi

Article Type: Research Article

Abstract: In a recent paper (Arch. Rational Mech. Anal. 145(3) (1998), 197–214), Vishik proved the global well-posedness of the two-dimensional Euler equation in the critical Besov space B2,1 2 . In the present paper we prove that the Navier–Stokes system is globally well-posed in B2,1 2 , with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L2 is of order ν.

Keywords: Navier–Stokes and Euler equations, inviscid limit, vorticity flows

Citation: Asymptotic Analysis, vol. 53, no. 3, pp. 125-138, 2007

Price: EUR 27.50

The quasineutral limit in the quantum drift-diffusion equations

Authors: Jüngel, Ansgar | Violet, Ingrid

Article Type: Research Article

Abstract: The quasineutral limit in the transient quantum drift-diffusion equations in one space dimension is rigorously proved. The model consists of a fourth-order parabolic equation for the electron density, including the quantum Bohm potential, coupled to the Poisson equation for the electrostatic potential. The equations are supplemented with Dirichlet–Neumann boundary conditions. For the proof uniform a priori bounds for the solutions of the semi-discretized equations are derived from so-called entropy functionals. The drift term involving the electrostatic potential is estimated by proving a new bound for the electric energy. Since the electrostatic potential is not an admissible test function, an auxiliary … Show more

Keywords: quantum drift-diffusion model, global-in-time existence of weak solutions, entropy estimates, quasi-neutral limit, asymptotic analysis, plasmas, semiconductors

Citation: Asymptotic Analysis, vol. 53, no. 3, pp. 139-157, 2007

Price: EUR 27.50

On asymptotics of a tracer advected in a locally self-similar, correlated flow

Authors: Komorowski, Tomasz | Ryzhik, Lenya

Article Type: Research Article

Abstract: In this paper we consider the motion of a tracer in a flow that is locally self-similar and whose correlations decay at infinity but at the rate that does not guarantee that the flow does not have “memory effect”. We show that when the field is Gaussian the appropriately regularized scaling limit of the trajectory is a super-diffusive fractional Brownian motion. This complements our previous result contained in Komorowski and Ryzhik (Nonlinearity, to appear).

Citation: Asymptotic Analysis, vol. 53, no. 3, pp. 159-187, 2007

Price: EUR 27.50
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