Sticky particle dynamics with interaction (Comunicazione a convegno)

Type
Label
  • Sticky particle dynamics with interaction (Comunicazione a convegno) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Alternative label
  • Y. Brenier, W. Gangbo, G. Savaré, M. Westdickenberg (2011)
    Sticky particle dynamics with interaction
    in INDI2011 Interfaces and discontinuities in Solids, Liquids and Crystals, Gargnano (Brescia), 20-23 giugno 2011
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Y. Brenier, W. Gangbo, G. Savaré, M. Westdickenberg (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, Università di Pavia (literal)
Titolo
  • Sticky particle dynamics with interaction (literal)
Abstract
  • We present a new Lagrangian approach to study the evolution of a discrete or continuous one-dimensiona mass distribution under the action of a force generated by an interaction potential. Assuming the so-called \"sticky\" condition (particles will stick together after every collision) we will show how to construct a well posed evolution semigroup solving the pressureless Euler equation in a measure-theoretic phase space. The theory also covers the special case of the Euler-Poisson equation, both in the attractive and repulsive regime, when the interaction potential is not differentiable at the origin. We will also briefly discuss some tools of convex analysis and optimal mass transport which play a crucial role in the analysis. (literal)
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