On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions

Details On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions

2010-09-21

arxiv.org/abs/1009.4024v2

Physics

Mathematical Physics

35 pages

Scientific paper

We study the nonhomogeneous boundary value problem for Navier--Stokes equations of steady motion of a viscous incompressible fluid in a two--dimensional bounded multiply connected domain $\Omega=\Omega_1\setminus\bar{\Omega}_2, \;\bar\Omega_2\subset \Omega_1$. We prove that this problem has a solution if the flux $\F$ of the boundary value through $\partial\Omega_2$ is nonnegative. The proof of the main result uses the Bernoulli law for a weak solution to the Euler equations and the one-side maximum principle for the total head pressure corresponding to this solution.

Affiliated with

Also associated with

No associations

Rating

On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions 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 On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697304