zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Some properties of two-dimensional stochastic regimes of double-diffusive convection in plane layer. (English) Zbl 1080.76564
Summary: The existence of a two-dimensional attracting manifold is established for trajectories emanating from the vicinity of static solution. The structure of this manifold is studied with the help of succession map of points in intersection of trajectories with some coordinate plane. The structure of the attracting manifold varies depending on Rayleigh numbers of heat and salinity. With growth of Rayleigh numbers of heat and salinity the structure of one-dimensional curve becomes more irregular and sophisticated. The convergence of Bubnov-Galerkin approximation with a large number of basic functions was demonstrated in norms of kinetic energy, dissipation function, and directly by norm evaluation of the residual (noncompensated terms in substitution of Bubnov-Galerkin approximation to the initial double-diffusive convection system).

76R50Diffusion (fluid mechanics)
76E06Convection (hydrodynamic stability)
37N10Dynamical systems in fluid mechanics, oceanography and meteorology
Full Text: DOI