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math.DS2021
Slow Migration of Brine Inclusions in First-Year Sea Ice
Noa Kraitzman, Keith Promislow, Brian Wetton
We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the l…
math.DS2017
Pearling Bifurcations in the strong Functionalized Cahn-Hilliard Free Energy
Noa Kraitzman, Keith Promislow
The Functionalized Cahn-Hilliard free energy supports phase separated morphologies of distinct codimension, including codimension-one bilayer and codimension-two filament morpholog…
math.DS2013
Adiabatic stability under semi-strong interactions: The weakly damped regime
Thomas Bellsky, Arjen Doelman, Tasso J. Kaper +1
We rigorously derive multi-pulse interaction laws for the semi-strong interactions in a family of singularly-perturbed and weakly-damped reaction-diffusion systems in one space dim…