The Reconstruction Problem for the Euler-Poisson System in Cosmology

Details The Reconstruction Problem for the Euler-Poisson System in Cosmology The Reconstruction Problem for the Euler-Poisson System in Cosmology

Feb 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006arrma.179..153l&link_type=abstract

Archive for Rational Mechanics and Analysis, Volume 179, Issue 2, pp.153-216

Physics

2

Scientific paper

The motion of a continuum of matter subject to gravitational interaction is classically described by the Euler-Poisson system. Prescribing the density of matter at initial and final times, we are able to obtain weak solutions for this equation by minimizing the action of the Lagrangian which is a convex functional. Through this variational formulation, the reconstruction problem becomes very similar to an optimal transportation problem. Then we see that such minimizing solutions are consistent with smooth solutions of the Euler-Poisson system and enjoy some special regularity properties.

Affiliated with

Also associated with

No associations

Rating

The Reconstruction Problem for the Euler-Poisson System in Cosmology 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 Reconstruction Problem for the Euler-Poisson System in Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Reconstruction Problem for the Euler-Poisson System in Cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1766721