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math-ph2012★ 13 cited
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…
math-ph2012★ 1 cited
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…