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Quantum effects on the Rayleigh-Taylor instability of stratified fluid/plasma through porous media. (English) Zbl 1231.76364

Summary: Quantum effect on Rayleigh-Taylor instability of stratified plasma layer through a porous medium are investigated. The linear growth rate is obtained analytically and is analyzed. In the presence of quantum effect, both the porosity of porous medium and the medium permeability has different influence on the coup point \((k^*_{\text coup})\) for stability, but they do not have influence on the critical point \((k^*_c)\) for stability. The quantum effect plays the principal role of the complete stability case for the system considered.

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76S05 Flows in porous media; filtration; seepage
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
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