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math.AP2021
Phase mixing for solutions to 1D transport equation in a confining potential
Sanchit Chaturvedi, Jonathan Luk
Consider the linear transport equation in D under an external confining potential : \begin{equation*} \partial_t f + v \partial_x f - \partial_x Φ\partial_v f = 0. \end{equat…
math.AP2020★ 7 cited
High-frequency limits and null dust shell solutions in general relativity
Jonathan Luk, Igor Rodnianski
Consider the characteristic initial value problem for the Einstein vacuum equations without any symmetry assumptions. Impose a sequence of data on two intersecting null hypersurfac…