The Inverse Problem for the Euler-Poisson system in Cosmology

dc.creatorLoeper, G.
dc.date2003-06-30
dc.date2005-04-07
dc.date.accessioned2026-07-07T04:59:17Z
dc.date.available2026-07-07T04:59:17Z
dc.descriptionThe 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.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0306430
dc.identifierhttp://arxiv.org/abs/math/0306430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67927
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35F20: 35J65
dc.titleThe Inverse Problem for the Euler-Poisson system in Cosmology
dc.typetext

Files

Collections