Unconditional nonlinear stability in a polarized dielectric liquid
Unconditional nonlinear stability in a polarized dielectric liquid
Summary: We derive a sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current. The initial energy at which we establish global nonlinear stability is not restricted, and the boundary for Rayleigh-Roberts numbers coincides with that found by a formal linear instability analysis.
boundary for Rayleigh-Roberts numbers, generalized energy, thermal convection, Magnetohydrodynamics and electrohydrodynamics, alternating current, Nonlinear effects in hydrodynamic stability, Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
boundary for Rayleigh-Roberts numbers, generalized energy, thermal convection, Magnetohydrodynamics and electrohydrodynamics, alternating current, Nonlinear effects in hydrodynamic stability, Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
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