The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity

Details The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity

2005-09-23

arxiv.org/abs/math/0509538v1

Mathematics

Analysis of PDEs

Scientific paper

A general class of linear advective PDEs, whose leading order term is of viscous dissipative type, is considered. It is proved that beyond the limit of the essential spectrum of the underlying inviscid operator, the eigenvalues of the viscous operator, in the limit of vanishing viscosity, converge precisely to those of the inviscid operator. The general class of PDEs includes the equations of incompressible fluid dynamics. Hence eigenvalues of the Navier-Stokes operator converge in the inviscid limit to the eigenvalues of the Euler operator beyond the essential spectrum.

Affiliated with

Also associated with

No associations

Rating

The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity 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 The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71214