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Asymptotic Analysis - Volume 37, issue 1

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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.

Non‐convergent radial solution of a semilinear elliptic equation in $\mathbb{R}$ N

Authors: Iaia, Joseph A.

Article Type: Research Article

Abstract: We examine the bounded radial solutions of Δu+f(u)=0 in $\mathbb{R}$ N with N>1. We show for many nonlinearities f that if lim r→∞ u(r)= does not exist then f≡0 on some nonempty open interval and N=2.

Keywords: nonconvergent, radial

Citation: Asymptotic Analysis, vol. 37, no. 1, pp. 1-19, 2004

Price: EUR 27.50

Homogenization of degenerate elliptic‐parabolic equations

Authors: Paronetto, Fabio

Article Type: Research Article

Abstract: In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂t −div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the coefficient μ is greater or equal to zero, possibly μ≡0, that is the operator may be elliptic, parabolic or elliptic‐parabolic.

Citation: Asymptotic Analysis, vol. 37, no. 1, pp. 21-56, 2004

Price: EUR 27.50

Radionuclide transport model with wells

Authors: Choquet, Catherine

Article Type: Research Article

Abstract: We consider a model describing compressible flow and transport processes of nuclear contaminants in porous media. The transport of radionuclides and heat is described by a nonlinear coupled parabolic system. The temperature equation is of degenerate parabolic type. We model the wells using measures as source terms.

Keywords: miscible and compressible flow in porous media, nonlinear parabolic system, degenerate parabolic equation, measure source terms

Citation: Asymptotic Analysis, vol. 37, no. 1, pp. 57-78, 2004

Price: EUR 27.50

Dependence of the blow‐up time with respect to parameters and numerical approximations for a parabolic problem

Authors: Groisman, Pablo | Rossi, Julio D.

Article Type: Research Article

Abstract: We find a bound for the modulus of continuity of the blow‐up time for the problem ut =λΔu+up , with initial datum u(x,0)=ϕ(x)+hf(x) respect to the parameters λ, p and h. We also find an estimate for the rate of convergence of the blow‐up times for a semi‐discrete numerical scheme.

Keywords: blow‐up, semilinear parabolic equations, semidiscretization in space

Citation: Asymptotic Analysis, vol. 37, no. 1, pp. 79-91, 2004

Price: EUR 27.50
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