77 citations · 576 across the 59 of their papers we have counts for
5 papers · 1 filter
Super-linear spreading in local and non-local cane toads equations
Emeric Bouin, Christopher Henderson, Lenya Ryzhik
In this paper, we show super-linear propagation in a nonlocal reaction-diffusion-mutation equation modeling the invasion of cane toads in Australia that has attracted attention rec…
Radiative transfer with long-range interactions: regularity and asymptotics
Christophe Gomez, Olivier Pinaud, Lenya Ryzhik
This work is devoted to radiative transfer equations with long-range interactions. Such equations arise in the modeling of high frequency wave propagation in random media with long…
Finite time singularity formation for the modified SQG patch equation
Alexander Kiselev, Lenya Ryzhik, Yao Yao +1
It is well known that the incompressible Euler equations in two dimensions have globally regular solutions. The inviscid surface quasi-geostrophic (SQG) equation has a Biot-Savart…
The random Schrödinger equation: slowly decorrelating time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the weak-coupling limit of the random Schrödinger equation with low frequency initial data and a slowly decorrelating random potential. For the probing signal with a suf…
The random Schrödinger equation: homogenization in time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low…