PUBLICATIONS
Submitted papers
F. Cornalba and J. Fischer, Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics.
F. Cornalba, J. Fischer, J. Ingmanns, and C. Raithel, Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation.
Published papers
F. Cornalba and T. Shardlow, The Regularised Inertial Dean-Kawasaki equation: Discontinuous Galerkin approximation and modelling for low-density regime.
ESAIM: Math. Model. Numer. Anal., 57 (2023), pp. 3061-3090, doi.org/10.1051/m2an/2023077
F. Cornalba, C. Disselkamp, D. Scassola, and C. Helf, Multi-Objective reward generalization: Improving performance of Deep Reinforcement Learning for applications in single-asset trading.
Neural. Comput. Appl., (2023), doi.org/10.1007/s00521-023-09033-7
F. Cornalba and J. Fischer, The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles.
Arch. Rational Mech. Anal., 247, 76 (2023), doi.org/10.1007/s00205-023-01903-7
F. Cornalba, T. Shardlow and J. Zimmer, Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions.
J. Differential Equations, 284 (2021), pp. 253-283, doi.org/10.1016/j.jde.2021.02.048
F. Cornalba, T. Shardlow and J. Zimmer, From weakly interacting particles to a regularised Dean-Kawasaki model.
Nonlinearity, 33 (2020), pp. 864-891, doi/10.1088/1361-6544/ab5174
F. Cornalba, T. Shardlow and J. Zimmer, A regularized Dean-Kawasaki model: derivation and analysis.
SIAM J. Math. Anal., 51 (2019), pp. 1137-1187, doi/10.1137/18M1172697
F. Cornalba, A nonlocal stochastic Cahn-Hilliard equation.
Nonlinear Anal., 140 (2016), pp. 38-60, doi.org/10.1016/j.na.2016.03.009