Small initial data for a quasilinear cubic wave equation on Schwarzschild-AdS leads to inflation of higher Sobolev norms via forward energy transfer for generic mass parameters.
On the wave turbulence theory for a stochastic KdV equation
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In polarization dynamics of light in dispersive nonlinear fibers, waves show either irreversible thermalization or reversible dynamics mediated by anomalous correlators, as predicted by wave turbulence theory and confirmed experimentally.
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Weakly turbulent dynamics on Schwarzschild-AdS black hole spacetimes
Small initial data for a quasilinear cubic wave equation on Schwarzschild-AdS leads to inflation of higher Sobolev norms via forward energy transfer for generic mass parameters.
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Irreversible thermalization vs reversible dynamics mediated by anomalous correlators: Wave turbulence theory and experiments in optical fibers
In polarization dynamics of light in dispersive nonlinear fibers, waves show either irreversible thermalization or reversible dynamics mediated by anomalous correlators, as predicted by wave turbulence theory and confirmed experimentally.