176 citations · 502 across the 12 of their papers we have counts for
12 papers
Towards identification of explicit solutions to overdetermined systems of differential equations
Maxim Zaytsev, V'yacheslav Akkerman
The authors proposed a general way to find particular solutions for overdetermined systems of PDEs previously, where the number of equations is greater than the number of unknown f…
Flow problem in three-dimensional geometry
Maxim Zaytsev, Vyacheslav Akkerman
It is shown how a complete set of hydrodynamic equations describing an unsteady three-dimensional viscous flow nearby a solid body, can be reduced to a closed system of surface equ…
Flame Acceleration in Channels with Obstacles in the Deflagration-to-Detonation Transition
Damir Valiev, Vitaly Bychkov, V'yacheslav Akkerman +2
It was demonstrated recently in Bychkov et al., Phys. Rev. Lett. 101 (2008) 164501, that the physical mechanism of flame acceleration in channels with obstacles is qualitatively di…
Analysis of flame acceleration induced by wall friction in open tubes
V'yacheslav Akkerman, Chung K Law, Vitaly Bychkov +1
Spontaneous flame acceleration leading to explosion triggering in open tubes/channels due to wall friction was analytically and computationally studied. It was first demonstrated t…
Coordinate-free description of corrugated flames with realistic density drop at the front
Vitaly Bychkov, Maxim Zaytsev, V'yacheslav Akkerman
The complete set of hydrodynamic equations for a corrugated flame front is reduced to a system of coordinate-free equations at the front using the fact that vorticity effects remai…
On the theory of turbulent flame velocity
Vitaly Bychkov, Vyacheslav Akkerman, Arkady Petchenko
The renormalization ideas of self-similar dynamics of a strongly turbulent flame front are applied to the case of a flame with realistically large thermal expansion of the burning…