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- W2963934265 abstract "We prove nonlinear stability of compactly supported expanding star solutions of the mass-critical gravitational Euler-Poisson system. These special solutions were discovered by Goldreich and Weber in 1980. The expansion rate of such solutions can be either self-similar or non-self-similar (linear), and we treat both types. An important outcome of our stability results is the existence of a new class of global-in-time radially symmetric solutions, which are not homologous and therefore not encompassed by the existing works. Using Lagrangian coordinates we reformulate the associated free-boundary problem as a degenerate quasilinear wave equation on a compact spatial domain. The problem is mass-critical with respect to an invariant rescaling and the analysis is carried out in similarity variables. © 2017 Wiley Periodicals, Inc." @default.
- W2963934265 created "2019-07-30" @default.
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- W2963934265 date "2017-10-27" @default.
- W2963934265 modified "2023-09-30" @default.
- W2963934265 title "Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass-Critical Euler-Poisson System" @default.
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- W2963934265 doi "https://doi.org/10.1002/cpa.21721" @default.
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