Kelvin-Helmholtz instability for relativistic fluids

Details Kelvin-Helmholtz instability for relativistic fluids Kelvin-Helmholtz instability for relativistic fluids

Sep 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrve..70c6304b&link_type=abstract

Physical Review E, vol. 70, Issue 3, id. 036304

Physics

Fluid Dynamics

15

Relativistic Fluid Dynamics, Hydrodynamics, Surface-Tension-Driven Instability

Scientific paper

We reexamine the stability of an interface separating two nonmagnetized relativistic fluids in relative motion, showing that, in an appropriate reference frame, it is possible to find analytic solutions to the dispersion relation. Moreover, we show that the critical value of the Mach number, introduced by compressibility, is unchanged from the nonrelativistic case if we redefine the Mach number as M=[β/(1-β2)1/2][βs/(1-βs2)1/2]-1 , where β and βs are, respectively, the speed of the fluid and the speed of sound (in units of the speed of light).

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