2020

Gomes , Susana, Pavliotis, G. A. and Vaes, U. (2020) Mean field limits for interacting diffusion with colored noise : phase transitions and spectral numerical methods. Multiscale Modeling and Simulation : A SIAM Interdisciplinary Journal . (In Press)

2018

Gomes, Susana N. and Pavliotis, G. A. (2018) Mean field limits for interacting diffusions in a two-scale potential. Journal of Nonlinear Science, 28 (3). pp. 905-941. doi:10.1007/s00332-017-9433-y

2017

Gomes, Susana N., Kalliadasis, Serafim, Papageorgiou, D. T., Pavliotis, G. A. and Pradas, M. (2017) Controlling roughening processes in the stochastic Kuramoto–Sivashinsky equation. Physica D: Nonlinear Phenomena, 348 . pp. 33-43. doi:10.1016/j.physd.2017.02.011

2016

Gomes, Susana N., Papageorgiou, Demetrios and Pavliotis, G. A. (2016) Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. IMA Journal of Applied Mathematics, 82 (1). pp. 158-194. doi:10.1093/imamat/hxw011

Thompson, Alice B., Gomes, Susana N., Pavliotis, G. A. and Papageorgios, Demetrios (2016) Stabilising falling liquid film flows using feedback control. Physics of Fluids, 28 (1). 012107 . doi:10.1063/1.4938761

2015

Duncan, A. B., Elliott, Charles M., Pavliotis, G. A. and Stuart, A. M. (2015) A multiscale analysis of diffusions on rapidly varying surfaces. Journal of Nonlinear Science, 25 (2). pp. 389-449. doi:10.1007/s00332-015-9237-x

2012

Pavliotis, Grigorios A., Pokern, Yvo and Stuart, A. M. (2012) Parameter estimation for multiscale diffusions : an overview. In: Kessler, Mathieu and Lindner, Alexander and Sorensen, Michael, (eds.) Statistical methods for stochastic differential equations. Chapman & Hall/CRC Monographs on Statistics & Applied Probability . Boca Raton, FL: CRC Press / Taylor & Francis Group. ISBN 9781439849408

Nolen, James, Pavliotis, Grigorios A. and Stuart, A. M. (2012) Multiscale modelling and inverse problems. In: Graham, Ivan G. and Hou, Thomas Y. and Lakkis, Omar and Scheichl, Robert, (eds.) Numerical Analysis of Multiscale Problems. Lecture Notes in Computational Science and Engineering, Vol.83 . Berlin ; Heidelberg: Springer, pp. 1-34. ISBN 9783642220609

2009

Papavasiliou, Anastasia, Pavliotis, G. A. and Stuart, A. M. (2009) Maximum likelihood drift estimation for multiscale diffusions. Stochastic Processes and their Applications, Vol.119 (No.10). pp. 3173-3210. doi:10.1016/j.spa.2009.05.003

Pavliotis, G. A., Stuart, A. M. and Zygalakis, K. C. (2009) Calculating effective diffusivities in the limit of vanishing molecular diffusion. Journal of Computational Physics, Vol.228 (No.4). pp. 1030-1055. doi:10.1016/j.jcp.2008.10.014

2008

Hairer, Martin and Pavliotis, G. A. (2008) From ballistic to diffusive behavior in periodic potentials. Journal of Statistical Physics, Vol.131 (No.1). pp. 175-202. doi:10.1007/s10955-008-9493-3

Pavliotis, Grigorios A. and Stuart, A. M. (2008) Multiscale methods : averaging and homogenization. Texts in applied mathematics, Vol.53 . New York: Springer. ISBN 9780387738291

2007

Pavliotis, G. A., Stuart, A. M. and Zygalakis, K. C. (2007) Homogenization for inertial particles in a random flow. Communications in Mathematical Sciences, Vol.5 (No.3). pp. 507-531.