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math.AP2025
Hunter-type Implosion Profiles for Energy-supercritical Polytropic Equations of State
Ely Sandine
We rigorously construct a family of smooth self-similar solutions to the isentropic gravitational Euler-Poisson system with a polytropic equation of state for polytropic indices ly…
math.AP2023
Hunter self-similar implosion profiles for the gravitational Euler-Poisson system
Ely Sandine
Our result is a construction of infinitely many radial self-similar implosion profiles for the gravitational Euler-Poisson system. The problem can be expressed as solving a system…