Alexei Novikov

most citedFictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions

10 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2009★ 4 cited

Exit times of diffusions with incompressible drift

Gautam Iyer, Alexei Novikov, Lenya Ryzhik +1

Let $Ω \subset R^{n}$ be a bounded domain and for $x \in Ω$ let $τ (x)$ be the expected exit time from $Ω$ of a diffusing particle starting at $x$ and advected by an incompressibl…

math.AP2009★ 2 cited

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 $L^{p} - L^{\infty}$ estimate…

math.AP2006★ 10 cited

Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions

Leonid Berlyand, Yuliya Gorb, Alexei Novikov

We present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives…