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?
Ovsyannikov, I. I. & Turaev, D. V. (2016). Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model. Nonlinearity, 30(1), 115, doi: https://doi.org/10.1088/1361-6544/30/1/115.
Graves, T., Franzke, C. L., Watkins, N. W., Gramacy, R. B. & Tindale, E. (2017). Systematic inference of the long-range dependence and heavy-tail distribution parameters of ARFIMA models.Physica A, 473, 60-71, doi: https://doi.org/10.1016/j.physa.2017.01.028.
Gonchenko, M., Gonchenko, S. & Ovsyannikov, I. (2017). Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps. Math. Model. Nat. Phenom., Vol. 12, No. 1, 2017, pp. 41-61. doi: 10.1051/mmnp/20171210.
Blender, R. & Badin, G. (2017). Viscous dissipation in 2D fluid dynamics as a symplectic process and its metriplectic representation. Eur. Phys. J. Plus, 132(3), 137, doi: 10.1140/epjp/i2017-11440-x.
Gonchenko, S. V. and Ovsyannikov, I. I. (2017). Homoclinic tangencies to resonant saddles and discrete Lorenz attractors.Discret Contin. Dyn. S., Vol 10 (2), p. 273-288, doi: 10.3934/dcdss.2017013.
Carpenter, J. R., Guha, A. & Heifetz, E. (2017). A physical interpretation of the wind-wave instability as interacting waves. J. Phys. Oceanogr., doi:
Franzke, C. L. (2017). Impacts of a changing climate on economic damages and insurance.Econ. Dis. Clim. Cha., 1(1), 95-110, doi: https://doi.org/10.1007/s41885-017-0004-3.
Kutsenko, A. A., Nagy, A. J., Su, X., Shuvalov, A. L. & Norris, A. N. (2017). Wave Propagation and Homogenization in 2d and 3d Lattices: A Semi-Analytical Approach. Q. J. Mech. Appl. Math. (2017) 70 (2): 131-151. doi: 10.1093/qjmam/hbx002.