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math.AP2008★ 20 cited
Blow up and regularity for fractal Burgers equation
Alexander Kiselev, Fedor Nazarov, Roman Shterenberg
The paper is a comprehensive study of the existence, uniqueness, blow up and regularity properties of solutions of the Burgers equation with fractional dissipation. We prove existe…
math.AP2007★ 1 cited
Relaxation Enhancement by Time-Periodic Flows
Alexander Kiselev, Roman Shterenberg, Andrej Zlatos
We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has…