5 citations · 13 across the 6 of their papers we have counts for
6 papers
Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows
Vladislav Cherepanov, Sebastian W. Ertel, Zhongmin Qian +1
Functional integral representations for solutions of the motion equations for wall-bounded incompressible viscous flows, expressed (implicitly) in terms of distributions of solutio…
On the dynamics of the boundary vorticity for incompressible viscous flows
V. Cherepanov, J. Liu, Z. Qian
The dynamical equation of the boundary vorticity has been obtained, which shows that the viscosity at a solid wall is doubled as if the fluid became more viscous at the boundary. F…
Monte-Carlo method for incompressible fluid flows past obstacles
Vladislav Cherepanov, Zhongmin Qian
We establish stochastic functional integral representations for incompressible fluid flows occupying wall-bounded domains using the conditional law duality for a class of diffusion…
Matroids in toric topology
Anton Ayzenberg, Vladislav Cherepanov
In this paper we study general torus actions on manifolds with isolated fixed points from combinatorial point of view. The main object of study is the poset of face submanifolds of…
Torus actions of complexity one in non-general position
Anton Ayzenberg, Vladislav Cherepanov
Let the compact torus act on a smooth compact manifold effectively with nonempty finite set of fixed points. We pose the question: what can be said about the orb…
Orbit spaces of torus actions on Hessenberg varieties
V. Cherepanov
We consider effective actions of a compact torus on an even-dimensional smooth manifold with isolated fixed points. We prove that under certain conditions on wei…