2 papers
math.AP2020
Linear dynamics of the semi-geostrophic equations in Eulerian coordinates on
Stefania Lisai, Mark Wilkinson
We consider a class of steady solutions of the semi-geostrophic equations on and derive the linearised dynamics around those solutions. The linear PDE which governs…
math.AP2018
Cullen's Stability Principle and Weak Solutions of the Free-surface Semi-geostrophic Equations
Mike J. P. Cullen, Tobias Kuna, Beatrice Pelloni +1
The semi-geostrophic equations are used widely in the modelling of large-scale atmospheric flows. In this note, we prove the global existence of weak solutions of the incompressibl…