Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection

Details Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection

2011-03-21

arxiv.org/abs/1103.4022v1

Mathematics

Analysis of PDEs

Scientific paper

We examine the Navier-Stokes equations with homogeneous slip boundary conditions coupled with the heat equation with homogeneous Neumann conditions in a bounded domain in $R^3$. The considered domain is a cylinder with $x_3$-axis. The aim of this paper is to show long time estimates without smallness of the initial velocity, the initial temperature and the external force. To prove the estimate we need however smallness of $L_2$ norms of derivatives with respect to $x_3$ of the initial velocity, the initial temperature and the external force.

Affiliated with

Also associated with

No associations

Rating

Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection 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 Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323287