Abstract:The pressureless Euler equations in dimension 1 describe the evolution of a distribution of mass over the real line. We are interested in sticky particles solutions: distributional solutions in which mass that collides sticks together for all time. Given initial data, a projection formula is known to give a sticky particles solution. We obtain a necessary and sufficient condition for this solution to go to equilibrium based only on the initial condition. Furthermore, we give a precise characterization of the equilibrium, as well as a formula for the time of collapse.
From: Nicholas Biglin [view email]
[v1]
Sun, 14 Jun 2026 20:36:40 UTC (20 KB)
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