Asymptotic behavior of solutions for a three dimensional system of globally modified Navier-Stokes equations with a locally Lipschitz delay term

作者：Marin Rubio P^*; Marquez Duran A M; Real J

来源：Nonlinear Analysis-Theory Methods & Applications, 2013, 79: 68-79.

DOI：10.1016/j.na.2012.11.006

• Globally modified Navier-Stokes equations
• Finite delay

Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier-Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there exists a unique stationary solution, which is globally asymptotically exponentially stable.

• 出版日期2013-3