01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords:
nonlinear differential equations of hyperbolic type; the Monge-Ampere equations; model equations of meteorology.
Subject:
Nonlinear PDE of hyperbolic type, conservation and balance laws, nonlinear Schrodinger equation, applications to meteorology and other fields of physics, finance mathematics.
O. S. Rozanova, “On globally smooth oscillating solutions of nonstrictly hyperbolic systems”, CMFD, 71:1 (2025), 147–158
2024
2.
L. V. Gargyants, O. S. Rozanova, M. K. Turzynsky, “The Riemann problem for the main model cases of the Euler—Poisson equations”, CMFD, 70:1 (2024), 38–52; Journal of Mathematical Sciences, 286:1 (2024), 33–45
3.
O. S. Rozanova, E. V. Chizhonkov, “On numerical simulation of plasma oscillations taking into account non-standard viscosity”, Num. Meth. Prog., 25:4 (2024), 427–440
2023
4.
O. S. Rozanova, “On plane oscillations of the cold plasma in a constant magnetic field”, CMFD, 69:4 (2023), 685–696
O. S. Rozanova, “Solution of the Kolmogorov–Feller equation arising in the model of biological evolution”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 23–27; Moscow University Mathematics Bulletin, 78:6 (2023), 276–280
O. S. Rozanova, “Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations”, TMF, 211:2 (2022), 319–332; Theoret. and Math. Phys., 211:2 (2022), 712–723
O. S. Rozanova, O. V. Uspenskaya, “On properties of solutions of the Cauchy problem for two-dimensional transport equations on a rotating plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 1, 3–10; Moscow University Mathematics Bulletin, 76:1 (2021), 1–8
O. S. Rozanova, E. V. Chizhonkov, “Analytical and numerical solutions of one-dimensional cold plasma equations”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1508–1527; Comput. Math. Math. Phys., 61:9 (2021), 1485–1503
O. S. Rozanova, E. V. Chizhonkov, “On the existence of a global solution of a hyperbolic problem”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 97–100; Dokl. Math., 101:3 (2020), 254–256
S. I. Nikulin, O. S. Rozanova, “On certain analytically solvable problems of mean field games theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 3–11; Moscow University Mathematics Bulletin, 75:4 (2020), 139–148
O. S. Rozanova, “On the connection of the Hamilton-Jacobi equation with some systems of quasilinear equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015), 206–219
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, N. A. Izobov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. V. Palin, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, E. V. Radkevich, O. S. Rozanova, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Scientific heritage of Vladimir Mikhailovich Millionshchikov”, Tr. Semim. im. I. G. Petrovskogo, 30 (2014), 5–41; J. Math. Sci. (N. Y.), 210:2 (2015), 115–134
2013
14.
G. S. Kambarbaeva, O. S. Rozanova, “Efficient portfolio dependent on Cox–Ingersoll–Ross interest rate”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 1, 3–10; Moscow University Mathematics Bulletin, 68:1 (2013), 18–25
2007
15.
O. S. Rozanova, “Formation of singularities of solutions of the equations of motion of compressible fluids subjected to external forces in the case of several spatial variables”, Tr. Semim. im. I. G. Petrovskogo, 26 (2007), 275–309; J. Math. Sci. (N. Y.), 143:4 (2007), 3355–3376
O. S. Rozanova, “On the behavior of the boundary of a movable volume in a smooth flow of a compressible fluid”, Differ. Uravn., 42:10 (2006), 1397–1404; Differ. Equ., 42:10 (2006), 1470–1478
17.
O. S. Rozanova, “On domains of regularity of the solutions of some special classes of Monge–Ampère type equations”, Fundam. Prikl. Mat., 12:1 (2006), 237–246; J. Math. Sci., 149:1 (2008), 1021–1027
2005
18.
O. S. Rozanova, H. I. Fuzhita, “A stationary solution to the air motion equations in the lower part of a typhoon”, Sib. Zh. Ind. Mat., 8:4 (2005), 100–123; J. Appl. Industr. Math., 1:2 (2007), 225–246
O. S. Rozanova, “Generation of singularities of compactly supported solutions of the Euler equations on a rotating plane”, Differ. Uravn., 34:8 (1998), 1114–1118; Differ. Equ., 34:8 (1998), 1118–1123
O. S. Rozanova, “On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces”, Fundam. Prikl. Mat., 4:1 (1998), 333–344
1991
22.
O. S. Rozanova, “On the unboundedness of solutions of a system of partial differential equations”, Uspekhi Mat. Nauk, 46:5(281) (1991), 175–176; Russian Math. Surveys, 46:5 (1991), 197–198
23.
O. S. Rozanova, “A sufficient condition for a loss of smoothness of solutions for a system of equations of thin atmosphere model”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 2, 23–27
O. S. Rozanova, “Formation of the singularities of solutions of a model system of equations of meteorology”, Uspekhi Mat. Nauk, 45:6(276) (1990), 141–142; Russian Math. Surveys, 45:6 (1990), 164–165
2023
25.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Goritsky, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, A. A. Kon'kov, V. V. Palin, E. V. Radkevich, V. V. Rogachev, O. S. Rozanova, M. S. Romanov, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, M. V. Shamolin, T. A. Shaposhnikova, “К 70-летию Валерия Васильевича Козлова”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023), 3–7
2011
26.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. Yu. Goritskii, N. V. Denisova, V. V. Zhikov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Olga Arsenjevna Oleinik”, Tr. Semim. im. I. G. Petrovskogo, 28 (2011), 5–7; J. Math. Sci. (N. Y.), 179:3 (2011), 345–346
2007
27.
I. V. Astashova, L. A. Bagirov, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth”, Tr. Semim. im. I. G. Petrovskogo, 26 (2007), 5–28; J. Math. Sci. (N. Y.), 143:4 (2007), 3183–3197
2005
28.
I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5, 77–79
Non-strictly hyperbolic systems: regularization issues O. S. Rozanova VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 18, 2023 16:40
The simplest model of cold plasma O. S. Rozanova Seminar on nonlinear problems of partial differential equations and mathematical physics June 8, 2021 19:30
8.
TBA O. S. Rozanova Hamiltonian systems and statistical mechanics September 9, 2019
