Authors

Citation

Bk. Shivamoggi et al., On some mathematical aspects of the direct-interaction approximation in turbulence theory, J MATH ANAL, 229(2), 1999, pp. 639-658

Citations number

10

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mathematics

Journal title

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN journal

0022-247X
→ ACNP

Volume

229

Issue

2

Year of publication

1999

Pages

639 - 658

Database

ISI

SICI code

0022-247X(19990115)229:2<639:OSMAOT>2.0.ZU;2-C

Abstract

The purpose of this paper is to clarify some mathematical issues associated
with the direct-interaction approximation (DIA) given by Kraichnan [Phys.
Rev. 109 (1958), 1407; J. Fluid Mech. 5 (1959), 497; Phys. Fluids 7 (1964),
1723; 8 (1965), 575; 9 (1966), 1728] via its application to Kraichnan's [J
. Math. Phys. 2 (1961), 124] model equation. The latter process is shown to
lead to a functional equation; the basic properties and construction of th
e solution of this equation are addressed. The relation of the DLA solution
to the perturbative solution is discussed within the framework of a contin
ued-fraction representation. (C) 1999 Academic Press.