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math.AP2021★ 2 cited
Existence of solutions to reaction cross diffusion systems
Matt Jacobs
Reaction cross diffusion systems are a two species generalization of the porous media equation. These systems play an important role in the mechanical modeling of living tissues an…
cond-mat.mtrl-sci2021
A crystal symmetry-invariant Kobayashi--Warren--Carter grain boundary model and its implementation using a thresholding algorithm
Jaekwang Kim, Matt Jacobs, Stanley Osher +1
One of the most important aims of grain boundary modeling is to predict the evolution of a large collection of grains in phenomena such as abnormal grain growth, coupled grain boun…