I am a Sherman Fairchild Instructor at the California Institute of Technology.
Email: yannis [at] caltech.eduNonlinear Partial Differential Equations, General Relativity, Fluid Dynamics
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\ i>, (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\ i>, (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.
Fall 2022: 108a (Classical Analysis).