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Abstract
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Abstract and Applied Analysis
Volume 2007 (2007), Article ID 79406, 30 pages
doi:10.1155/2007/79406

Navier-Stokes equations with potentials

Adriana-Ioana Lefter

Department of Applied Mathematics, Faculty of Mathematics, University “Al. I. Cuza”, 11 Bd. Carol I, Iaşi 700506, Romania

Abstract

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.