511 citations · 1.7k across the 69 of their papers we have counts for
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Spectral Properties of Schrödinger Operators with Decaying Potentials
Sergey A. Denisov, Alexander Kiselev
We review recent advances in the spectral theory of Schrödinger operators with decaying potentials. The area has seen spectacular progress in the past few years, stimulated by seve…
Enhancement of combustion by drift in a coupled reaction-diffusion model
Lam Raga A. Markely, David Andrzejewski, Erick Butzlaff +1
We study analytically and numerically a model describing front propagation of a KPP reaction in a fluid flow. The model consists of coupled one-dimensional reaction-diffusion equat…
On Discrete Models of the Euler Equation
Alexander Kiselev, Andrej Zlatos
We consider two discrete models for the Euler equation describing incompressible fluid dynamics. These models are infinite coupled systems of ODEs for the functions which can…
Quenching of Reaction by Cellular Flows
A. Fannjiang, A. Kiselev, L. Ryzhik
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly support…