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Luesink, E., & Street, O. D. (2026). Symplectic techniques for stochastic differential equations on reductive Lie groups with applications to Langevin diffusions. Journal of Differential Equations, 458, Article 114034. https://doi.org/10.1016/j.jde.2025.114034[details]
Beron-Vera, F. J., & Luesink, E. (2025). Dual Euler-Poincaré/Lie-Poisson formulation of subinertial stratified thermal ocean flow with identification of Casimirs as Noether quantities. Journal of Mathematical Physics, 66(9), Article 093102. https://doi.org/10.1063/5.0252058[details]
Ephrati, S. R., Franken, A., Luesink, E., Cifani, P., & Geurts, B. J. (2025). Continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation. Physical Review Fluids, 10(1), Article 013801. https://doi.org/10.1103/PhysRevFluids.10.013801
Franken, A. D., Luesink, E., Ephrati, S. R., & Geurts, B. J. (2025). Casimir preserving numerical method for global multi-layer quasi-geostrophic turbulence. Journal of computational Physics, 538, Article 114155. https://doi.org/10.1016/j.jcp.2025.114155[details]
Holm, D. D., & Luesink, E. (2024). Stochastic Geometric Mechanics for Fluid Dynamics. In R. Szabo, & M. Bojowald (Eds.), Encyclopedia of Mathematical Physics (2nd ed., Vol. 4, pp. 504-521). Elsevier. https://doi.org/10.1016/B978-0-323-95703-8.00025-2
Luesink, E., Ephrati, S., Cifani, P., & Geurts, B. (2024). Casimir preserving stochastic Lie–Poisson integrators. Advances in Continuous and Discrete Models, 2024, Article 1. https://doi.org/10.1186/s13662-023-03796-y
2023
Crisan, D., Holm, D. D., Luesink, E., Mensah, P. R., & Pan, W. (2023). Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model. Journal of Nonlinear Science, 33(5), Article 96. https://doi.org/10.1007/s00332-023-09943-9
Ephrati, S. R., Cifani, P., Luesink, E., & Geurts, B. J. (2023). Data-Driven Stochastic Lie Transport Modeling of the 2D Euler Equations. Journal of Advances in Modeling Earth Systems, 15(1), Article e2022MS003268. https://doi.org/10.1029/2022MS003268
Rashad, R., Brugnoli, A., Califano, F., Luesink, E., & Stramigioli, S. (2023). Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation. Journal of Nonlinear Science, 33(5), Article 84. https://doi.org/10.1007/s00332-023-09945-7
2022
Cifani, P., Viviani, M., Luesink, E., Modin, K., & Geurts, B. J. (2022). Casimir preserving spectrum of two-dimensional turbulence. Physical Review Fluids, 7(8), Article L082601. https://doi.org/10.1103/PhysRevFluids.7.L082601
Ephrati, S. R., Luesink, E., Wimmer, G., Cifani, P., & Geurts, B. J. (2022). COMPUTATIONAL MODELING FOR HIGH-FIDELITY COARSENING OF SHALLOW WATER EQUATIONS BASED ON SUBGRID DATA. Multiscale Modeling and Simulation, 20(4), 1468-1489. https://doi.org/10.1137/21M1452871
2021
Holm, D. D., & Luesink, E. (2021). Stochastic Geometric Mechanics with Diffeomorphisms. In S. Ugolini, M. Fuhrman, E. Mastrogiacomo, P. Morando, & B. Rüdiger (Eds.), Geometry and Invariance in Stochastic Dynamics (pp. 169-185). (Springer Proceedings in Mathematics and Statistics; Vol. 378). Springer. https://doi.org/10.1007/978-3-030-87432-2_9
Holm, D. D., & Luesink, E. (2021). Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics. Journal of Nonlinear Science, 31(2), Article 29. https://doi.org/10.1007/s00332-021-09682-9
Holm, D. D., Luesink, E., & Pan, W. (2021). Stochastic mesoscale circulation dynamics in the thermal ocean. Physics of Fluids, 33(4), Article 046603. https://doi.org/10.1063/5.0040026
2020
Bethencourt de Léon, A., Holm, D. D., Luesink, E., & Takao, S. (2020). Implications of Kunita–Itô–Wentzell Formula for k-Forms in Stochastic Fluid Dynamics. Journal of Nonlinear Science, 30(4), 1421-1454. https://doi.org/10.1007/s00332-020-09613-0
Geurts, B. J., Holm, D. D., & Luesink, E. (2020). Lyapunov Exponents of Two Stochastic Lorenz 63 Systems. Journal of Statistical Physics, 179(5-6), 1343-1365. https://doi.org/10.1007/s10955-019-02457-3
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