Publications

Korn, P. (2017), J. Comput. Phys. - sole author. The foundation of the ocean model ICON-O; Continued in Korn & Danilov (2017), Korn & Linardakis (2018) and Korn (2018); extended to sea ice in Mehlmann & Korn (2021).
Korn, P. (2026), (in review), sole author, Foundations of Global Ocean Climate Modelling at all Scales
Korn, P. (2026), accepted at Commun. Appl. Math. Comput. Sci. - sole author. A no-go theorem for the discrete compressible barotropic Navier--Stokes equations, and its resolution.
Korn, P. & Titi, E. S. (2024), SIAM J. Math. Anal. , well-posedness of the equations ocean climate models actually solve
Korn, P. (2021), J. Math. Fluid Mech. - sole author. Well-posedness of the ocean primitive equations with nonlinear
thermodynamics: the analysis extended to realistic seawater.
Crisan, D., Holm, D. D. & Korn, P. (2023), Nonlinearity, Hasselmann's stochastic climate paradigm made rigorous via stochastic Lie transport.
Korn, P. et al. (2022), J. Adv. Model. Earth Syst. - first, author, 15 co-authors. ICON-O validated as a global model; introduces telescoping,
Hohenegger, C., Korn, P. et al. (2023), Geosci. Model Dev. ICON-Sapphire, the coupled Earth system at kilometre and
subkilometre scales.
Epke, M., Korn, P. et al. (2026), J. Phys. Oceanogr.
Linardakis, L., Korn, P. et al. (2022), \emph{Geosci. Model Dev.} component concurrency that made marine biogeochemistry affordable

Korn, P. (2017). Formulation of an unstructured grid model for global ocean dynamics. J. Comput. Phys. 339, 525--552.
Korn, P. & Danilov, S. (2017). Elementary dispersion analysis of some mimetic discretizations on triangular C-grids. J. Comput. Phys. 330, 156--172.
Korn, P. & Linardakis, L. (2018). A conservative discretization of the
shallow-water equations on triangular grids. J. Comput. Phys. 375, 871--900.
Korn, P. (2018). A structure-preserving discretization of ocean parametrizations on unstructured grids. Ocean Modelling 132, 73--90.
Mehlmann, C. \& Korn, P. (2021). Sea-ice on triangular grids. J. Comput. Phys. 428, 110086.

Korn, P. (2026). A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations. Commun. Appl. Math. Comput. Sci., accepted. Sole author.
Korn, P. \& Titi, E. S. (2024). Global well-posedness of the primitive equations of large-scale ocean dynamics with the Gent--McWilliams--Redi eddy parametrization model. SIAM J. Math. Anal. 56(6), 8011--8036.
Crisan, D., Holm, D. D. \& Korn, P. (2023). An implementation of Hasselmann's paradigm for stochastic climate modelling based on stochastic Lie transport. Nonlinearity 36(9), 4862.
Korn, P. (2021). Global well-posedness of the ocean primitive equations with nonlinear thermodynamics. J. Math. Fluid Mech. 23, 71.
Korn, P. (2021). Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and ocean dynamics. J. Nonlinear Sci. 31, 56.
Korn, P. (2009). Data assimilation for the Navier--Stokes-$\alpha$ equations. Physica D 238, 1957--1974.

Korn, P., Brüggemann, N., Jungclaus, J. H., Lorenz, S. J., Gutjahr, O., Haak, H., Linardakis, L., Mehlmann, C., Mikolajewicz, U., Notz, D., Putrasahan, D. A., Singh, V., von Storch, J.-S., Zhu, X. \& Marotzke, J. (2022). ICON-O: the ocean component of the ICON Earth System Model - global simulation characteristics and local telescoping capability. J. Adv. Model. Earth Syst. 14(10). \emph{First author, 15 co-authors.}
Hohenegger, C., Korn, P., Linardakis, L., Redler, R. et al.\ (2023). ICON-Sapphire: simulating the components of the Earth system and their interactions at kilometer and subkilometer scales. Geosci. Model Dev. 16(2), 779--811.
Müller, W. A., Korn, P. et al.\ (2025). The ICON-based Earth System Model for climate predictions and projections (ICON XPP v1.0). Geosci. Model Dev. 18, 9385--9415.
Linardakis, L., Stemmler, I., Hanke, M., Ramme, L., Chegini, F., Ilyina, T. & Korn, P. (2022). Improving scalability of Earth system models through coarse-grained component concurrency. Geosci. Model Dev. 15, 9157--9176.
Mehlmann, C., Danilov, S., Losch, M., Lemieux, J. F., Hutter, N., Richter, T., Blain, P., Hunke, E. C. & Korn, P. (2021). Simulating linear kinematic features in viscous-plastic sea-ice models on quadrilateral and triangular grids. J. Adv. Model. Earth Syst. 13.

Epke, M., Linardakis, L., Korn, P. \& Brüggemann, N. (2026). Overturning of mixed layer eddies in a submesoscale-resolving simulation of the North Atlantic. J. Phys. Oceanogr. 56, 437--1468.
Leimann, I., Epke, M., Dräger-Dietel, J., Griesel, A., Walter, M., Linardakis, L., Korn, P. \& Brüggemann, N. (2026). Diagnosing kinetic energy scaling using Lagrangian and Eulerian metrics in different dynamical regimes of the North Atlantic. J. Geophys. Res. Oceans 131, e2025JC023666.
Brüggemann, N., Losch, M., Scholz, P., Pollmann, F., Danilov, S., Gutjahr, O., Jungclaus, J., Koldunov, N., Korn, P., Olbers, D. & Eden, C. (2024). Parameterized internal wave mixing in three ocean general circulation models. J. Adv. Model. Earth Syst. 16(6).
Mathis, M., Logemann, K., Lacroix, F., Hagemann, S., Chegini, F., Ramme, L., Ilyina, T., Korn, P. & Schrum, C. (2022). Seamless integration of the coastal ocean in global marine carbon cycle modeling. J. Adv. Model. Earth Syst. 14(8).

Lapolli, F., Witte, M., Kadow, C. & Korn, P. (2026). Learning depth-aware neural corrections for baroclinic instability in a mesoscale-resolving ocean model. Accepted at \emph{Mach. Learn.: Earth}.
Witte, M., Lapolli, F. R., Freese, P., Götschel, S., Ruprecht, D., Korn, P. & Kadow, C. (2025). Dynamic deep learning based super-resolution for the shallow water equations. \emph{Mach. Learn.: Sci. Technol.} 6(1), 015060.