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\( i \partial_t u + \Delta u \pm |u|^{p-1} u = 0 \)
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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11:00 (London time), Thursday, 30 October 2025
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Location:
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Imperial College London
Room 642; Huxley Building
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Speaker:
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Mahdi Haghshenas (Imperial College London / University College London)
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Title:
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Boundedness and Decay of Waves on Decelerated FLRW Spacetimes
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Abstract:
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In this talk, after outlining the stability problem for Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes, we consider the wave equation—as a proxy for the Einstein equations—on decelerated FLRW spacetimes with \( \mathbb{R}^3 \) spatial sections.
We demonstrate how dispersion and expansion affect the long-time behaviour of waves.
In particular, we present uniform energy bounds and integrated local energy decay estimates across the full decelerated expansion range.
Moreover, we describe a hierarchy of \( r^p \)-weighted energy estimates, in the spirit of the Dafermos-Rodnianski \( r^p \)-method, which lead to energy decay estimates.
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Date/Time:
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11:00 (London time), Thursday, 13 November 2025
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Location:
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Imperial College London
Room 642; Huxley Building
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Speaker:
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Lionor Kehrberger (Max Planck Institute, Leipzig)
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Date/Time:
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11:00 (London time), Thursday, 27 November 2025
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Location:
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Imperial College London
Room 642; Huxley Building
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Speaker:
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Sam Collingbourne (University of Edinburgh)
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Organisers
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