The topological degree method for equations of the Navier-Stokes type

We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used.

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Bibliographic Details
Main Authors: V. T. Dmitrienko, V. G. Zvyagin
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:Abstract and Applied Analysis
Subjects:
Online Access:http://dx.doi.org/10.1155/S1085337597000250
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Summary:We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used.
ISSN:1085-3375