Stellar models and irregular singularities

Lisette Jager (1) , Satyanad Kichenassamy (1)

1 LMR - Laboratoire de Mathématiques de Reims

This paper proves two results on the determination of asymptotics of solutions of linear and nonlinear ODE. The first shows the stability of singular solutions of the point-source model of stellar structure. It hinges on the solution of a singular initial-value problem where data are prescribed at the singularity. As a further illustration of the use of such singular problems, a simple method to determine the eigenfunction asymptotics for problems with long-range potentials is included.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Analyse classique [math.CA]; Mathématiques générales [math.GM]

Lisette Jager, Satyanad Kichenassamy. Stellar models and irregular singularities. Communications in Contemporary Mathematics, 2003, 5, pp.719-735. ⟨10.1142/S0219199703001130⟩. ⟨hal-00002593⟩