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SUMMARY:Junior Analysis Seminar – Flavio Rossetti (GSSI)
DESCRIPTION:Title\nLinear and non-linear wave equations in expanding spacet
 imes\nAbstract\nWe discuss the geometric wave equation in a class of space
 times that are homogeneous and isotropic\, i.e. that approximately describ
 e\, at large scales\, the universe we live in. While this hyperbolic PDE c
 an be seen as a damped wave equation in Euclidean space (where the damping
  term is non-autonomous)\, its geometric interpretation in the theory of g
 eneral relativity allows to associate dispersive properties of solutions t
 o physical properties of the spacetime\, such as its rate of expansion. In
  this context\, we show that small data global existence holds for solutio
 ns to the Fritz John equation $\\square_g \\phi = (\\partial_t \\phi)^2$ e
 ven in case of decelerated expansion\, due to the regularizing effects of
  the dynamical background. This is joint work with João Costa and Jesús 
 Oliver.\nPlease note that the seminar will take place in person in room 14
 0 of Huxley Building.\n\nClick here to get to the Junior Analysis Seminar 
 webpage.
URL:https://www.imperial.ac.uk/events/199932/junior-analysis-seminar-flavio
 -rossetti-gssi/
DTSTART;TZID=Europe/London:20251022T140000
DTEND;TZID=Europe/London:20251022T150000
LOCATION:140\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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