Navier-Stokes Equations with Potentials

Adriana-Ioana Lefter

doi:10.1155/2007/79406

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Home > Journals > Abstr. Appl. Anal. > Volume 2007 > Article

2007 Navier-Stokes Equations with Potentials

Adriana-Ioana Lefter

Abstr. Appl. Anal. 2007: 1-30 (2007). DOI: 10.1155/2007/79406

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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.