You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

Asymptotic Analysis - Volume 130, issue 3-4

Purchase individual online access for 1 year to this journal.

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.

results per page

Uniqueness for active scalar equations in a Zygmund space

Authors: Cozzi, Elaine

Article Type: Research Article

Abstract: We consider a class of active scalar equations which includes, for example, the 2D Euler equations, the 2D Navier–Stokes equations, and various aggregation equations including the Keller–Segel model. For this class of equations, we establish uniqueness of solutions in the Zygmund space C ∗ 0 . This result improves upon that in (Trans. Amer. Math. Soc. 367 (2015) 3095–3118), where the authors show uniqueness of solutions in BMO . As a corollary of our methods, we establish the uniform in space vanishing viscosity limit of Hölder continuous solutions to the … Show more

Keywords: Active scalars, inviscid limit

DOI: 10.3233/ASY-221762

Citation: Asymptotic Analysis, vol. 130, no. 3-4, pp. 531-551, 2022

Price: EUR 27.50

Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization

Authors: Ghosh, Nibedita | Mahato, Hari Shankar

Article Type: Research Article

Abstract: We study a pore-scale model where two mobile species with different diffusion coefficients react and precipitate in the form of immobile species (crystal) on the surface of the solid parts in a porous medium. The reverse may also happen, i.e. the crystals may dissolute to give mobile species. The mathematical modeling of these processes will give rise to a coupled system of ordinary and partial differential equations. We first prove the existence of a unique nonnegative global weak solution and then upscale the model from microscale to macroscale.

Keywords: Reactive transport, diffusion–reaction–dissolution–precipitation, Langmuir reaction rates, global existence, homogenization, asymptotic analysis, two-scale convergence, boundary unfolding

DOI: 10.3233/ASY-221763

Citation: Asymptotic Analysis, vol. 130, no. 3-4, pp. 553-587, 2022

Price: EUR 27.50
Show more