Andrej Zlatoš

most citedOn Discrete Models of the Euler Equation

8 citations · 12 across the 4 of their papers we have counts for

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math.AP2005★ 3 cited

Diffusion and Mixing in Fluid Flow

P. Constantin, A. Kiselev, L. Ryzhik +1

We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…

math.AP2005★ 8 cited

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 $u_{j}$ which can…

math.AP2005

Sharp Transition Between Extinction and Propagation of Reaction

Andrej Zlatos

We consider the reaction-diffusion equation \[ T_t = T_{xx} + f(T) \] on $R$ with $T_{0} (x) \equiv χ_{[- L, L]} (x)$ and $f (0) = f (1) = 0$ . In 1964 Kanel' proved that if $f$ is an ignit…