Seminár 8.3.2012: Peter Guba (FMFI UK)

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminár 8.3.2012: Peter Guba (FMFI UK)

Postby kollar » Mon Mar 05, 2012 12:13 pm

Štvrtok 8.3.2012, 14:30-15:30, F1-326 / Thursday, March 8, 2012, 2:30-3:30 PM, F1-326

Peter Guba (FMFI Univerzita Komenského Bratislava)

Shear-flow instability at the interface between immiscible fluids

Abstrakt/Abstract:
We consider the stability of the steady two-dimensional buoyancy-driven flow of two fluids of different viscosities and equal densities. The fluids are assumed to be immiscible and incompressible. A linear stability analysis to long-wavelength disturbances of the primary flow is carried out by the methods of singular perturbation theory. A variety of modes of propagating disturbances are found to exist, each associated with a specific balance in the Navier-Stokes equation.
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