Lagrangian and Eulerian descriptions of inertial particles in random flows

S.A. Derevyanko, G. Falkovich*, K. Turitsyn, S. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study how the spatial distribution of inertial particles evolves with time in a random flow. We describe an explosive appearance of caustics and show how they influence an exponential growth of clusters due to smooth parts of the flow, leading in particular to an exponential growth of the average distance between particles. We demonstrate how caustics restrict applicability of Lagrangian description to inertial particles.

Original languageEnglish
Article number16
Pages (from-to)1-18
Number of pages18
JournalJournal of Turbulence
Publication statusPublished - 2007


  • caustics
  • inertial particles
  • lyapunov exponents
  • two-phase flows


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