Instability of marginally stable streamwise varying shear flow to long rossby waves
نویسندگان
چکیده
منابع مشابه
Long-Wave Instability in Marginally Stable Shear Flows
The reductive perturbation theories used by physicists typically fall into two classes: adiabatic elimination of strongly damped variables in dissipative systems, or averaging over fast oscillations in finite dimensional Hamiltonian systems. Our interest here is a third class which in a peculiar way combines aspects of both methods; this is the development of reduced descriptions for instabilit...
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Transport and mixing properties of Rossby waves in shear flow are studied using tools from Hamiltonian chaos theory. The destruction of barriers to transport is studied analytically, by using the resonance overlap criterion and the concept of separatrix reconnection, and numerically by using PoincarC sections. Attention is restricted to the case of symmetric velocity profiles with a single maxi...
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Uniform shear flow is a prototype non-equilibrium state admitting detailed study at both the macroscopic and microscopic levels via theory and computer simulation. It is shown that the hydrodynamic equations for this state have a long wavelength instability. This result is obtained first from the NavierStokes equations and shown to apply at both low and high densities. Next, higher order rheolo...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2007
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2007.v5.n4.a5