Akkerman Vyacheslav B

Publications in Math-Net.Ru

1. Paradox of description for motion of a hydrodynamic discontinuity in a potential and incompressible flow
   
   University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3,  11–30
2. Explicit representation of the Euler and Navier — Stokes equations of incompressible fluid with reduced dimensionality in integral form
   
   Mathematical Physics and Computer Simulation, 25:1 (2022),  5–20
3. On the identification of solutions to Riccati equation and the other polynomial systems of differential equations
   
   Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022),  23–27
4. Explicit transformation of the Riccati equation and other polynomial ODEs to systems of linear ODEs
   
   Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 72,  5–14
5. Algorithm for finding explicit solutions of overdetermined systems of differential equations
   
   Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 12:4 (2020),  5–18
6. Hypothesis on unification of solution of the Cauchy problem for overdetermined systems of differential equations
   
   Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:4 (2019),  12–25
7. Transformation of systems of partial differential equations to systems of quasilinear and linear differential equations. Their reduction and unification
   
   Mathematical Physics and Computer Simulation, 21:1 (2018),  18–33
8. Reduction of overdetermined differential equations of mathematical physics
   
   Mathematical Physics and Computer Simulation, 20:4 (2017),  43–67
9. Another method for finding particular solutions of equations of mathematical physics
   
   Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 6(37),  119–127
10. Laminar flame in the approximation of weak compressibility of reacting flows
    
    Fizika Goreniya i Vzryva, 49:2 (2013),  11–19
11. Dimension reduction in fluid dynamics equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1518–1530
12. Метод описания стационарного фронта реакции в двухмерном потоке
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 92:11 (2010),  813–816
13. Flames with realistic thermal expansion in a time-dependent turbulent flow
    
    Fizika Goreniya i Vzryva, 41:4 (2005),  3–17