Research interests
My research focuses on deterministic and stochastic evolution
equations that arise in continuum mechanics, in particular in the study
of fluids and plasmas. I am interested in understanding the behavior of
various models at large times, often in limiting cases (such as
vanishing viscosity or infinite mean free path).
Some buzz-words:
- Fluid Dynamics: stochastic fluids, turbulence, inviscid limits, long time behavior
- Kinetic theory: kinetic theory of plasmas, weakly collisional limits, stochastic kinetic theory, magnetic fields in plasmas, long time behavior
Publications and preprints:
- Papathanasiou, S. (2021): Sufficient conditions for local scaling laws
for stationary martingale solutions to the 3D Navier-Stokes equations.
Nonlinearity, 34(5), 2937. (arXiv:2007.08838)
- Bedrossian, J., Papathanasiou, S. (2022): The Vlasov-Poisson and
Vlasov-Poisson-Fokker-Planck systems in stochastic electromagnetic
fields: local well-posedness (arXiv:2211.03336)