Stability of a hydrodynamic discontinuity

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

doi:10.1088/0031-8949/90/1/018002

Stability of a hydrodynamic discontinuity

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

Division of Applied Mathematics

Research output: Contribution to journal › Review article › peer-review

11 Citations (Scopus)

Abstract

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 language	English
Article number	018002
Journal	Physica Scripta
Volume	90
Issue number	1
DOIs	https://doi.org/10.1088/0031-8949/90/1/018002
Publication status	Published - Jan 1 2015

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/0031-8949/90/1/018002

Cite this

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title = "Stability of a hydrodynamic discontinuity",

abstract = "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.",

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AU - Abarzhi, Snezhana I.

AU - Fukumoto, Yasuhide

AU - Kadanoff, Leo P.

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N2 - 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.

AB - 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.

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DO - 10.1088/0031-8949/90/1/018002

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VL - 90

JO - Physica Scripta

JF - Physica Scripta

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ER -

Stability of a hydrodynamic discontinuity

Abstract

All Science Journal Classification (ASJC) codes

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