Note on aTheorem of Relativistic Hydrodynamics

Details Note on aTheorem of Relativistic Hydrodynamics Note on aTheorem of Relativistic Hydrodynamics

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005ap.....48..539k&link_type=abstract

Astrophysics, Volume 48, Issue 4, pp.539-544

Astronomy and Astrophysics

Astrophysics

Relativity: Hydrodynamics

Scientific paper

A well known theorem of relativistic hydrodynamics states that the streamlines of an isentropic perfect fluid are the future-pointing timelike (FPT) curves extremizing the integral J = ∫ S1 S2 fds, where f is the so-called index function and s the proper time on the world line of the fluid particle. The integral is taken over all possible FPT curves with regular representations xi = xi (s) joining the fixed end events E1, E2. The purpose of this note is to show that the streamlines of an adiabatic perfect fluid can likewise be regarded as extremizing curves of the functional J provided the class of admissible curves consists of those FPT curves satisfying the side condition ui∂iS = 0, ui unit 4-velocity and S the specific proper entropy of the fluid, with the first end point fixed and the second being the end point variable.

Affiliated with

Also associated with

No associations

Rating

Note on aTheorem of Relativistic Hydrodynamics 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 Note on aTheorem of Relativistic Hydrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on aTheorem of Relativistic Hydrodynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1619893