ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.9

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.10

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.11

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.1

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

Some types of first integrals for Hamiltonian Nambu-Poisson vector fields are obtained by using the notions of pseudosymmetries. In this theory, the homogeneous Hamiltonian vector fields play a special role and we point out this fact. The differential system which describe theSU(2)-monopoles is given as example. The paper ends with two appendices.

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.2

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

The Navier-Stokes equation driven by heat conduction is studied. As a prototype we consider Rayleigh-Bénard convection, in the Boussinesq approximation. Under a large aspect ratio assumption, which is the case in Rayleigh-Bénard experiments with Prandtl number close to one, we prove the existence of a global strong solution to the 3D Navier-Stokes equation coupled with a heat equation, and the existence of a maximal B-attractor. A rigorous two-scale limit is obtained by homogenization theory. The mean velocity field is obtained by averaging the two-scale limit over the unit torus in the local variable.

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.3

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

Reductions for systems of ODEs integrable via the standard factorization method (the Adler-Kostant-Symes scheme) or the generalized factorization method, developed by the authors earlier, are considered. Relationships between such reductions, operator Yang-Baxter equations, and some kinds of non-associative algebras are established.

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.5

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.6

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

A review of a new separability theory based on degenerated Poisson pencils and the so-called separation curves is presented. This theory can be considered as an alternative to the Sklyanin theory based on Lax representations and the so-called spectral curves.

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.7

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

A counter-intuitive result of Gauss (formulae (1.6), (1.7) below) is made less mysterious by virtue of being generalized through the introduction of an additional parameter.

ISSN:1402-9251    

DOI:10.2991/jnmp.2000.7.2.8

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor