31 citations · 31 across the 4 of their papers we have counts for
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Synchronous Glacial Cycles in a Nonsmooth Conceptual Climate Model with Asymmetric Hemispheres
Alice Nadeau, James Walsh, Esther Widiasih
We present a new conceptual model of the Earth's glacial-interglacial cycles, one leading to governing equations for which the vector field has a hyperplane of discontinuities. Thi…
Nonsmooth Invariant Manifolds in a Conceptual Climate Model
James A. Walsh
There is widespread agreement that ice sheets flowed into the ocean in tropical latitudes at sea level during the Earth's past. Whether these extreme ice ages were snowball Earth e…
Diffusive Heat Transport in Budyko's Energy Balance Climate Model with a Dynamic Ice Line
James Walsh
M. Budyko and W. Sellers independently introduced seminal energy balance climate models in 1969, each with a goal of investigating the role played by positive ice albedo feedback i…
Periodic Orbits for a Discontinuous Vector Field Arising from a Conceptual Model of Glacial Cycles
James Walsh, Esther Widiasih, Jonathan Hahn +1
Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently, these models have also pr…