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 $\mathcal{A}$ -condensing,
is used.
Publié le : 1997-05-14
Classification:
Weak solutions,
Navier-Stokes equations,
a priori estimates,
degree theory,
$\mathcal{A}$-condensing perturbations,
47H17
@article{1049737241,
author = {Dmitrienko, V. T. and Zvyagin, V. G.},
title = {The topological degree method for equations of the Navier-Stokes type},
journal = {Abstr. Appl. Anal.},
volume = {2},
number = {1-2},
year = {1997},
pages = { 1-45},
language = {en},
url = {http://dml.mathdoc.fr/item/1049737241}
}
Dmitrienko, V. T.; Zvyagin, V. G. The topological degree method for equations of the Navier-Stokes type. Abstr. Appl. Anal., Tome 2 (1997) no. 1-2, pp. 1-45. http://gdmltest.u-ga.fr/item/1049737241/