On the Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations

Details On the Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations On the Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations

2009-08-23

arxiv.org/abs/0908.3334v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

The two-phase free boundary problem with surface tension and downforce gravity for the Navier-Stokes system is considered in a situation where the initial interface is close to equilibrium. The boundary symbol of this problem admits zeros in the unstable halfplane in case the heavy fluid is on top of the light one, which leads to the well-known Rayleigh-Taylor instability. Instability is proved rigorously in an $L_p$-setting by means of an abstract instability result due to Henry.

Affiliated with

Also associated with

No associations

Rating

On the Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations 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 Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Rayleigh-Taylor Instability for the two-Phase Navier-Stokes Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697097