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.
arXiv preprint arXiv:2106.09819 (2021)
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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.
Introduces the complex mZK equation on T² and proves local well-posedness in Sobolev spaces together with failure of uniform continuity of the data-to-solution map.
Derives a new kinetic equation for the alpha-FPUT lattice with site-dependent coefficients, revealing a resonant three-wave manifold and faster thermalization plus Bragg scattering.
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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.
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Complex-valued modified Zakharov Kuznetsov equation
Introduces the complex mZK equation on T² and proves local well-posedness in Sobolev spaces together with failure of uniform continuity of the data-to-solution map.
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Resonant interactions in the $\alpha$-FPUT lattice with site-dependent coefficients
Derives a new kinetic equation for the alpha-FPUT lattice with site-dependent coefficients, revealing a resonant three-wave manifold and faster thermalization plus Bragg scattering.