Work

Interaction of geophysical flows with sea ice dynamics

Year: 2025

Type: article

Abstract: This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmosphere dynamics with Hibler’s viscous-plastic sea ice model. In order to treat the coupling conditions, an approach involving the hydrostatic Dirichlet and Dirichlet-to-Neumann operator is developed. Mapping properties of the latter operators are investigated for the first time and are of central importance for showing that the operator associated with the linearized coupled system admits a bounded $$\mathcal {H}^\infty $$ H ∞ -calculus on suitable $$\textrm{L}^q$$ L q -spaces. Quasilinear methods allow then to obtain the strong well-posedness results described above.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01169-w

Authors: Tim Binz, Felix Brandt, Matthias Hieber

Institutions: Princeton University, University of California, Berkeley, Technische Universität Darmstadt

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Deutsche Forschungsgemeinschaft, Technische Universität Darmstadt, Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der Wissenschaften