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math.AP2024
A Hamilton-Jacobi approach to road-field reaction-diffusion models
Christopher Henderson, King-Yeung Lam
We consider the road-field reaction-diffusion model introduced by Berestycki, Roquejoffre, and Rossi. By performing a "thin-front limit," we are able to deduce a Hamilton-Jacobi eq…
math.AP2024
A kinetic Nash inequality and precise boundary behavior of the kinetic Fokker-Planck equation
Christopher Henderson, Giacomo Lucertini, Weinan Wang
In this paper, we prove a kinetic Nash type inequality and adapt it to a new functional inequality for functions in a kinetic Sobolev space with absorbing boundary conditions on th…