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On the stability of heterogeneous shear flows
Small perturbations of a parallel shear flow U(y) in an inviscid, incompressible fluid of variable density ρ 0 (y) are considered. It is deduced that dynamic instability of statically stable flows (Expand
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On the generation of surface waves by shear flows
A mechanism for the generation of surface waves by a parallel shear flow U ( y ) is developed on the basis of the inviscid Orr-Sommerfeld equation. It is found that the rate at which energy isExpand
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Design and Ground Calibration of the Helioseismic and Magnetic Imager (HMI) Instrument on the Solar Dynamics Observatory (SDO)
The Helioseismic and Magnetic Imager (HMI) investigation (Solar Phys. doi:10.1007/s11207-011-9834-2, 2011) will study the solar interior using helioseismic techniques as well as the magnetic fieldExpand
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Note on a heterogeneous shear flow
Goldstein (1931) has considered the stability of a shear layer within which the velocity and the density vary linearly and outside which they are constant. Rayleigh (1880, 1887) had found that theExpand
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The Stratospheric Observatory For Infrared Astronomy (SOFIA) is an airborne observatory consisting of a specially modified Boeing 747SP with a 2.7 m telescope, flying at altitudes as high as 13.7 kmExpand
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Nonlinear surface waves in closed basins
The Lagrangian and Hamiltonian for nonlinear gravity waves in a cylindrical basin are constructed in terms of the generalized co-ordinates of the free-surface displacement, { q n ( t )} ≡ q , therebyExpand
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Resonantly interacting solitary waves
Resonant (phase-locked) interactions among three obliquely oriented solitary waves are studied. It is shown that such interactions are associated with the parametric end points of the singular regimeExpand
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On Hamilton's principle for surface waves
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Obliquely interacting solitary waves
Nonlinear oblique interactions between two slightly dispersive gravity waves (in particular, solitary waves) of dimensionless amplitudes α 1 and α 2 (relative to depth) and relative inclination 2ϕExpand
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