The work establishes existence and uniqueness of perfect states for the repulsive pressureless Euler-Poisson system in which the Hamiltonian remains constant and solutions converge to a single stationary particle, along with necessary and sufficient conditions for finite-time collapse.
HYND,Lagrangian Coordinates for the Sticky Particle System, SIAM J
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On the asymptotic behavior of the Repulsive Pressureless Euler-Poisson System
The work establishes existence and uniqueness of perfect states for the repulsive pressureless Euler-Poisson system in which the Hamiltonian remains constant and solutions converge to a single stationary particle, along with necessary and sufficient conditions for finite-time collapse.