17 citations · 79 across the 23 of their papers we have counts for
7 papers · 1 filter
Anomalous diffusion in fast cellular flows at intermediate time scales
Gautam Iyer, Alexei Novikov
It is well known that on long time scales the behaviour of tracer particles diffusing in a cellular flow is effectively that of a Brownian motion. This paper studies the behaviour…
Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion
Léonard Monsaingeon, Alexeï Novikov, Jean-Michel Roquejoffre
We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such so…
From homogenization to averaging in cellular flows
Gautam Iyer, Tomasz Komorowski, Alexei Novikov +1
We consider an elliptic eigenvalue problem with a fast cellular flow of amplitude , in a two-dimensional domain with cells. For fixed , and , the problem…
Homogenization of the G-equation with incompressible random drift in two dimensions
James Nolen, Alexei Novikov
We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regim…
Exit times of diffusions with incompressible drift
Gautam Iyer, Alexei Novikov, Lenya Ryzhik +1
Let be a bounded domain and for let be the expected exit time from of a diffusing particle starting at and advected by an incompressibl…
The explosion problem in a flow
Henri Berestycki, Alexander Kiselev, Alexei Novikov +1
We consider the explosion problem in an incompressible flow introduced in the paper of H. Berestycki, L. Kagan, G. Joulin and G. Sivashinsky. We use a novel estimate…