zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel. (English) Zbl 0956.76074
The author applies Taylor series to obtain approximate solutions for steady inviscid incompressible flows first in a porous pipe, and then in an exponentially diverging asymmetric channel (in boundary-layer approximation). Using the symbolic algebra package Maple, the author calculates in the former case the first 54 coefficients, and in the latter case 44 coefficients, which allows to determine the radii of convergence and, employing a recent technique developed by {\it P. G. Drazin} and {\it Y. Tourigny} [SIAM J. Appl. Math. 56, No. 1, 1-18 (1996; Zbl 0858.65048)], to investigate the bifurcation diagrams and the position of flow separation.

MSC:
76M45Asymptotic methods, singular perturbations (fluid mechanics)
76S05Flows in porous media; filtration; seepage
76D10Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids)
Software:
Maple
WorldCat.org
Full Text: DOI