Applied mathematicians and experts from geo sciences are working together in area M, to foster an exchange with the other research areas and to transfer knowledge between the different disciplines. By working on consistent model formulation, new and consistent parameterisations and numerics for both atmosphere and ocean, the mathematicians can help climate scientists improve their models and thus enhance climate projections.
Specific research questions in Research Area M are:
- What is a mathematically and physically consistent model formulation for the different dynamical regimes and their interaction?
- Can we formulate better and physically consistent sub-grid scale parameterisations for the interaction between different dynamical regimes?
- Can we develop better numerical schemes?
Burchard, H., Bolding, K., Feistel, R., Gräwe, U., MacCready, P., Klingbeil, K., Mohrholz, V., Umlauf, L., and van der Lee, E. M. , (2018). The Knudsen theorem and the Total Exchange Flow analysis framework applied to the Baltic Sea, Progress in Oceanography, 165, 268-286 , https://doi.org/10.1016/j.pocean.2018.04.004 .
Juricke, S., MacLeod, D., Weisheimer, A., Zanna, L., and Palmer, T. (2018). Seasonal to annual ocean forecasting skill and the role of model and observational uncertainty. Quarterly Journal of the Royal Meteorological Society.
Blender, R., Gohlke, D., and Lunkeit, F. (2018). Fluctuation Analysis of the Atmospheric Energy Cycle. arXiv preprint arXiv:1802.07565.
Franzke, C. L., Oliver, M., Rademacher, J. D., and Badin, G. (2018). Multi-scale methods for geophysical flows, Springer (in press).
Mohamad, H., and M. Oliver (2019). A direct construction of a slow manifold for a semilinear wave equation of Klein–Gordon type. Journal of Differential Equations.
Franzke, C. L., D. Jelic, S. Lee, and S. B. Feldstein (2019). Systematic Decomposition of the MJO and its Northern Hemispheric Extra‐Tropical Response into Rossby and Inertio‐Gravity Components. Quarterly Journal of the Royal Meteorological Society.
Iske, A. (2019). Approximation Theory and Algorithms for Data Analysis. Texts in Applied Mathematics, 68, Springer.
Burchard, H., X. Lange, K. Klingbeil, and P. MacCready (2019) Mixing estimates for estuaries, J. Phys. Oceanogr., 49, 631-648.
Merckelbach, L., A. Berger, G. Krahmann, M. Dengler and J. R. Carpenter (2019). A dynamic flight model for Slocum gliders and implications for turbulence microstructure measurements. Journal of Atmospheric and Oceanic Technology, Vol. 36 (2), 281-296.
Kutsenko, A. A. (2019). A note on sharp spectral estimates for periodic Jacobi matrices. Journal of Approximation Theory, Vol. 242, p. 58-63.