## Abstract and Applied Analysis

### Navier-Stokes Equations with Potentials

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 79406, 30 pages.

Dates
First available in Project Euclid: 5 July 2007

https://projecteuclid.org/euclid.aaa/1183666879

Digital Object Identifier
doi:10.1155/2007/79406

Mathematical Reviews number (MathSciNet)
MR2320801

Zentralblatt MATH identifier
1141.35433

#### Citation

Lefter, Adriana-Ioana. Navier-Stokes Equations with Potentials. Abstr. Appl. Anal. 2007 (2007), Article ID 79406, 30 pages. doi:10.1155/2007/79406. https://projecteuclid.org/euclid.aaa/1183666879

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