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\( \Delta u = 0 \)
The London PDE Seminar is a London-based seminar featuring speakers at the forefront of mathematical research in partial differential equations.
Upcoming Seminars
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Date/Time:
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14:00 (London time), Friday, 30 October 2026
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Location:
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Imperial College London
Room 658; Huxley Buliding
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Speaker:
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Haoling Xiang (Imperial College London)
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Title:
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The FPUT paradox: asymptotic stability in the inhomogeneous kinetic FPUT equation
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Abstract:
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The FPUT experiments were expected to reveal thermalisation in a weakly nonlinear oscillator chain. Instead, they revealed striking recurrences. Wave turbulence offers a statistical approach to this paradox through a phonon kinetic equation, whose thermodynamic equilibria are the Rayleigh–Jeans distributions.
In this talk, I will discuss their asymptotic stability for the spatially inhomogeneous kinetic FPUT equation. The key is to identify two slow modes at low spatial frequencies, one fractional and one diffusive, and separate them from an invariant spectral remainder. On this remainder, microscopic dissipation controls the macroscopic component. Combined with initial preparation and energy estimates, this yields global existence and algebraic relaxation for small, well-prepared perturbations of nonsingular equilibria. This is joint work with Angeliki Menegaki.
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Date/Time:
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14:00 (London time), Friday, 13 November 2026
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Location:
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Imperial College London
Room 658; Huxley Building
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Speaker:
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Saehoon Eo (Stanford University)
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Organisers
Acknowledgments
The London PDE Seminar is currently partly funded by:
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