Yannis Angelopoulos

I am a Sherman Fairchild Instructor at the California Institute of Technology.

Email: yannis [at] caltech.edu

Research Interests:

Nonlinear Partial Differential Equations, General Relativity, Fluid Dynamics

Papers:

  • Supersonic flows past airfoils, in preparation.
  • Shock-shock solutions for 2-dimensional Burgers' equations, (joint with John Anderson and Sanchit Chaturvedi), in preparation.
  • Global impulsive gravitational wave spacetimes, (joint with Jonathan Luk), in preparation.
  • Instability results for transonic flows past airfoils, online preprint at arXiv 2109.13369.
  • Late-time tails and mode coupling of linear waves on Kerr spacetimes, (joint with Stefanos Aretakis and Dejan Gajic), online preprint at arXiv 2102.11884.
  • Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes, (joint with Stefanos Aretakis and Dejan Gajic), online preprint at arXiv 2102.11888.
  • Semi-global constructions of spacetimes containing curvature singularities, online preprint at arXiv 2010.05876.
  • A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordström, (joint with Stefanos Aretakis and Dejan Gajic), Communications in Mathematical Physics, 380, 323-408 (2020), online preprint at arXiv 1910.07975.
  • Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes, (joint with Stefanos Aretakis and Dejan Gajic), Annals of PDE, 6, Article Number: 12, p. 1-124 (2020), online preprint at arXiv 1908.00115.
  • Horizon hair of extremal black holes and measurements at null infinity, (joint with Stefanos Aretakis and Dejan Gajic), Phys. Rev. Lett. 121, 131102 (2018), online preprint at arXiv 1809.10037.
  • Invariant measures for integrable spin chains and integrable discrete NLS,(joint with Rowan Killip and Monica Visan), SIAM J. Math. Anal., 52(1), 135-163 (2020), online preprint at arXiv 1807.08801.
  • Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds, (joint with Stefanos Aretakis and Dejan Gajic), Advances in Mathematics, Volume 375, 107363 (2020), online preprint at arXiv 1807.03802.
  • Asymptotics for scalar perturbations from a neighbourhood of the bifurcation sphere, (joint with Stefanos Aretakis and Dejan Gajic), Classical and Quantum Gravity, Volume 35, Number 15 155007 (2018), online preprint at arXiv 1802.05692.
  • Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity, (joint with Stefanos Aretakis and Dejan Gajic), Journal of Hyperbolic Differential Equations, Vol. 16. No. 1, 1-34 (2019), online preprint at arXiv 1712.09977.
  • Late-time asymptotics for the wave equations on spherically symmetric, stationary spacetimes, (joint with Stefanos Aretakis and Dejan Gajic), Advances in Mathematics, Vol. 323 (2018), 529-621, online preprint at arXiv 1612.01566.
  • A vector field approach to almost-sharp decay for the wave equations on spherically symmetric, stationary spacetimes, (joint with Stefanos Aretakis and Dejan Gajic), Annals of PDE, 4, Article Number: 15 (2018), online preprint at arXiv 1612.01565.
  • Asymptotic blow-up for a class of semilinear wave equations on extremal Reissner-Nordström spacetimes, (joint with Stefanos Aretakis and Dejan Gajic), online preprint at: arXiv 1612.01562.
  • The trapping effect on degenerate horizons , (joint with Stefanos Aretakis and Dejan Gajic), Annales Henri Poincaré, Vol. 18, Issue 5 (2017), 1593-1633, online preprint at arXiv 1512.09094.
  • Global spherically symmetric solutions of nonlinear wave equations with null condition on extremal Reissner-Nordström spacetimes, International Mathematical Research Notices, Vol. 2016, Issue 11 (2016), 3279-3355, online preprint at arXiv 1408.4478.
  • Well-posedness and ill-posedness results for the Novikov-Veselov equation, Communications on Pure and Applied Analysis, Vol. 15, Issue 3 (2016), 727-760, online preprint at arXiv 1307.4110.

  • Teaching:

  • Fall 2022: 108a (Classical Analysis).