A Wasserstein Approach to the One-Dimensional Sticky Particle System

@article{Natile2009AWA,
  title={A Wasserstein Approach to the One-Dimensional Sticky Particle System},
  author={Luca Natile and Giuseppe Savar{\'e}},
  journal={SIAM J. Math. Analysis},
  year={2009},
  volume={41},
  pages={1340-1365}
}
We present a simple approach to study the one–dimensional pressureless Euler system via adhesion dynamics in the Wasserstein space P2(R) of probability measures with finite quadratic moments. Starting from a discrete system of a finite number of “sticky” particles, we obtain new explicit estimates of the solution in terms of the initial mass and momentum and we are able to construct an evolution semigroup in a measure-theoretic phase space, allowing mass distributions in P2(R) and corresponding… CONTINUE READING

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