Mathematics – Analysis of PDEs
Scientific paper
2008-06-10
Mathematics
Analysis of PDEs
23Pages
Scientific paper
In this paper, we analyze a tamed 3D Navier-Stokes equation in uniform $C^2$-domains (not necessarily bounded), which obeys the scaling invariance principle, and prove the existence and uniqueness of strong solutions to this tamed equation. In particular, if there exists a bounded solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, the existence of a global attractor for the tamed equation in bounded domains is also proved. As simple applications, some well known results for the classical Navier-Stokes equations in unbounded domains are covered.
No associations
LandOfFree
A Tamed 3D Navier-Stokes Equation in Domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Tamed 3D Navier-Stokes Equation in Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Tamed 3D Navier-Stokes Equation in Domains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-174694