13 citations · 14 across the 5 of their papers we have counts for
5 papers
Paradox of description for motion of a hydrodynamic discontinuity in a potential and incompressible flow
Maxim Zaytsev, Vyacheslav Akkerman
Hydrodynamic discontinuities in an external potential and incompressible flow are investigated. Using the reaction front as an example in a 2D stream, an overdetermined system of e…
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…
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…
Reduction of over-determined systems of differential equations
Maxim Zaytsev, Vyacheslav Akkerman
It is shown how the dimension of any arbitrary over-determined system of differential equations can be reduced, which makes the system suitable for numerical solution modeling. Spe…