Abstract and Applied Analysis
Volume 2007 (2007), Article ID 79406, 30 pages
Navier-Stokes Equations with Potentials
1Department of Applied Mathematics, Faculty of Mathematics, University “Al. I. Cuza”, 11 Bd. Carol I, Iaşi 700506, Romania
2Institute of Mathematics “Octav Mayer”, Romanian Academy, Iaşi Branch, 8 Bd. Carol I, Iaşi 700506, Romania
Received 11 March 2007; Accepted 8 May 2007
Academic Editor: Viorel Barbu
Copyright © 2007 Adriana-Ioana Lefter. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study Navier-Stokes equations perturbed
with a maximal monotone operator, in a bounded domain, in 2D and
3D. Using the theory of nonlinear semigroups, we prove existence results
for strong and weak solutions. Examples are also provided.