Compactly supported Sticky Particles Solutions decay to equilibrium arbitrarily slowly

Key Points

• The aim is to explore the rates of decay of compactly supported sticky particle solutions to equilibrium in a specific mathematical system.
• Provided theoretical proof of asymptotic convergence of sticky particle solutions.
• Analyzed the behavior of solutions over time in the one-dimensional pressureless Euler system.
• Demonstrated that sticky particle solutions can converge to equilibrium at an arbitrarily slow rate.
• Concluded the absence of a universal decay rate for these solutions.

Abstract