Oana Pocovnicu Assistant Professor Department of Mathematics at Heriot-Watt University Maxwell Institute for Mathematical Sciences, Edinburgh |
Mailing address:
School of Mathematical & Computer Sciences Heriot-Watt University Edinburgh EH14 4AS, UK Office: Room F.14, Colin Maclaurin Building Telephone: +44 (0)131 451 4371 E-mail: o.pocovnicu hw.ac.uk |
In particular, study of global-in-time behavior of solutions: global well-posedness in the deterministic and probabilistic settings, scattering, growth of high Sobolev norms related to wave turbulence, existence and stability of solitons, soliton resolution. Tools from: harmonic analysis, completely integrable Hamiltonian equations, complex analysis, spectral theory, mathematical physics, and probability.Hyperbolic/dispersive semilinear Hamiltonian PDEs (nonlinear wave & Schrödinger equations), Completely integrable nonlinear PDEs (Szegő equation), Quasilinear PDEs (Euler-Poisson system).