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.
"Navier-Stokes Equations with Potentials." Abstr. Appl. Anal. 2007 1 - 30, 2007. https://doi.org/10.1155/2007/79406