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

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Research interests: Mathematical analysis of nonlinear partial differential equations (PDEs):

  • Hyperbolic/dispersive semilinear Hamiltonian PDEs (nonlinear wave & Schrödinger equations),
  • Completely integrable nonlinear PDEs (Szegő equation),
  • Quasilinear PDEs (Euler-Poisson system).
  • 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.

    Ph.D. opportunities: The Maxwell Institute Graduate School in Analysis & its Applications (MIGSAA) - a Centre for Doctoral Training in Edinburgh.