The Inverse Problem for the Euler-Poisson system in Cosmology
Loeper, G.
arXiv, 0306430 / Harvested from arXiv
Text on arXiv
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. Then we see that such minimizing solutions are consistent with smooth solutions of the Euler-Poisson system and enjoy some special regularity properties. Meanwhile some intersting links with with Hamilton-Jacobi equations are found.
Publié le : 2003-06-30
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35F20: 35J65 
@article{0306430,
     author = {Loeper, G.},
     title = {The Inverse Problem for the Euler-Poisson system in Cosmology},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306430}
}

Loeper, G. The Inverse Problem for the Euler-Poisson system in Cosmology. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306430/