83 citations · 158 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
A rigorous treatment of moist convection in a single column
Bin Cheng, Jingrui Cheng, Michael Cullen +2
We study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it…
Semi-geostrophic System with Variable Coriolis parameter
Jingrui Cheng, Michael Cullen, Mikhail Feldman
We prove short time existence and uniqueness of smooth solutions ( in with ) to the 2-D semi-geostrophic system and semi-geostrophic shallow water system with…
Free upper boundary value problems for the semi-geostrophic equations
M. J. P. Cullen, D. K. Gilbert, T. Kuna +1
The semi-geostrophic system is widely used in the modelling of large-scale atmospheric flows. In this paper, we prove existence of solutions of the incompressible semi-geostrophic…
On a model of forced axisymmetric flows
Mike Cullen, Marc Sedjro
In this work, we consider a model of forced axisymmetric flows which is derived from the inviscid Boussinesq equations. What makes these equations unusual is the boundary condition…