44 citations · 145 across the 27 of their papers we have counts for
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math.AP2014★ 1 cited
On the bulk velocity of Brownian ratchets
Stanislav Kondratyev, José Miguel Urbano, Dmitry Vorotnikov
In this paper we study the unidirectional transport effect for Brownian ratchets modeled by Fokker-Planck-type equations. In particular, we consider the adiabatic and semiadiabatic…
math.AP2014
Generalized solutions for inextensible string equations
Yasemin Şengül, Dmitry Vorotnikov
We study the system of equations of motion for inextensible strings. This system possesses many internal symmetries, and is related to discontinuous systems of conservation laws an…