Stability of a hydrodynamic discontinuity

Snezhana I. Abarzhi, Yasuhide Fukumoto, Leo P. Kadanoff

Research output: Contribution to journalReview articlepeer-review

11 Citations (Scopus)


While looking from a far field at a discontinuous front separating incompressible ideal fluids of different densities, we identify two qualitatively different behaviors of the front - unstable and stable - depending upon whether the energy flux produced by the perturbed front is large or small compared to the flux of kinetic energy across the planar front. Landau's solution for the Landau-Darrieus instability is consistent with one of these cases.

Original languageEnglish
Article number018002
JournalPhysica Scripta
Issue number1
Publication statusPublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • General Physics and Astronomy
  • Mathematical Physics


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