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Asymptotic Analysis - Volume 113, issue 4

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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.

Turbulence in active fluids caused by self-propulsion

Authors: Bui, Christiane | Löwen, Hartmut | Saal, Jürgen

Article Type: Research Article

Abstract: A rigorous analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized Stokes and Navier–Stokes systems by developing an approach in spaces of Fourier transformed Radon measures.

Keywords: Living fluids, active turbulence, generalized Navier–Stokes equations, well-posedness, stability

DOI: 10.3233/ASY-181510

Citation: Asymptotic Analysis, vol. 113, no. 4, pp. 195-209, 2019

Price: EUR 27.50

Limiting behavior of some strictly hyperbolic systems of conservation laws

Authors: Sahoo, Manas R. | Sen, Abhrojyoti

Article Type: Research Article

Abstract: The objective of this paper is two fold. Firstly, a strictly hyperbolic system of conservation laws known as Euler equation of compressible fluid flow is considered and limiting behavior of its solutions as the pressure like term vanishes is studied. Secondly, the limiting behavior of the solutions for another strictly hyperbolic system which is a perturbed model of the system introduced by Korchinski [Solution of a Riemann problem for a system of conservation laws possessing no classical weak solution, 1977 , Adelphi University] is also studied as the perturbation parameter vanishes.

Keywords: Euler equation, Riemann problem, delta waves, shadow waves

DOI: 10.3233/ASY-181513

Citation: Asymptotic Analysis, vol. 113, no. 4, pp. 211-238, 2019

Price: EUR 27.50

Characterizations of anisotropic high order Sobolev spaces

Authors: Lam, Nguyen | Maalaoui, Ali | Pinamonti, Andrea

Article Type: Research Article

Abstract: We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain–Brezis–Mironescu’s formula and Nguyen’s formula.

Keywords: High order Sobolev spaces, asymptotic characterization, anisotropic Sobolev spaces

DOI: 10.3233/ASY-181515

Citation: Asymptotic Analysis, vol. 113, no. 4, pp. 239-260, 2019

Price: EUR 27.50
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