Persons: Bogaevsky, Ilya Aleksandrovich

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Bogaevsky, Ilya Aleksandrovich

Doctor of physico-mathematical sciences (2019)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

https://www.mathnet.ru/eng/person8387

List of publications on Google Scholar

https://zbmath.org/authors/ai:bogaevskij.ilya-aleksandrovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/263699

	Publications in Math-Net.Ru	Citations
	2024
1.	I. A. Bogaevsky, S. Yu. Dobrokhotov, A. A. Tolchennikov, “Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side”, TMF, 218:1 (2024), 23–47 ; Theoret. and Math. Phys., 218:1 (2024), 19–40	2
	2023
2.	I. A. Bogaevsky, “Front Asymptotics of a Flat Sub-Riemannian Structure on the Engel Distribution”, Trudy Mat. Inst. Steklova, 321 (2023), 62–76 ; Proc. Steklov Inst. Math., 321 (2023), 54–68
	2022
3.	I. A. Bogaevsky, “Asymptotic behaviour of the sphere and front of a flat sub-Riemannian structure on the Martinet distribution”, Mat. Sb., 213:5 (2022), 50–67 ; Sb. Math., 213:5 (2022), 624–640	1
	2020
4.	I. A. Bogaevsky, D. V. Tunitsky, “Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems”, Trudy Mat. Inst. Steklova, 308 (2020), 76–87 ; Proc. Steklov Inst. Math., 308 (2020), 67–78	7
5.	I. Bogaevsky, “Fundamental solution of the stationary Dirac equation with a linear potential”, TMF, 205:3 (2020), 349–367 ; Theoret. and Math. Phys., 205:3 (2020), 1547–1563	2
	2014
6.	I. A. Bogaevsky, “Implicit ordinary differential equations: bifurcations and sharpening of equivalence”, Izv. RAN. Ser. Mat., 78:6 (2014), 5–20 ; Izv. Math., 78:6 (2014), 1063–1078	7
	2012
7.	I. A. Bogaevsky, “Interaction of the folded Whitney umbrella and swallowtail in slow–fast systems”, Trudy Mat. Inst. Steklova, 278 (2012), 29–33 ; Proc. Steklov Inst. Math., 278 (2012), 22–26
	2009
8.	I. A. Bogaevsky, “Caustics of Interior Scattering”, Trudy Mat. Inst. Steklova, 267 (2009), 7–13 ; Proc. Steklov Inst. Math., 267 (2009), 1–7	2
	2006
9.	I. A. Bogaevsky, “Discontinuous gradient differential equations and trajectories in calculus of variations”, Mat. Sb., 197:12 (2006), 11–42 ; Sb. Math., 197:12 (2006), 1723–1751	17
	2003
10.	I. A. Bogaevsky, “New singularities and perestroikas of fronts of linear waves”, Mosc. Math. J., 3:3 (2003), 807–821	4
	1998
11.	I. A. Bogaevsky, “Singularities of Convex Hulls of Three-Dimensional Hypersurfaces”, Trudy Mat. Inst. Steklova, 221 (1998), 81–100 ; Proc. Steklov Inst. Math., 221 (1998), 71–90	2
	1995
12.	I. A. Bogaevsky, “Singularities of the propagation of shot waves on the plane”, Mat. Sb., 186:11 (1995), 35–52 ; Sb. Math., 186:11 (1995), 1581–1597	4
13.	I. A. Bogaevsky, “Perestroikas of fronts in evolutionary families”, Trudy Mat. Inst. Steklov., 209 (1995), 65–83 ; Proc. Steklov Inst. Math., 209 (1995), 57–72	2
	1990
14.	I. A. Bogaevsky, “Singularities of projective hypersurfaces”, Funktsional. Anal. i Prilozhen., 24:2 (1990), 16–23 ; Funct. Anal. Appl., 24:2 (1990), 97–103	2
	1989
15.	I. A. Bogaevsky, “Reconstructions of singularities of minimum functions, and bifurcations of shock waves of the Burgers equation with vanishing viscosity”, Algebra i Analiz, 1:4 (1989), 1–16 ; Leningrad Math. J., 1:4 (1990), 807–823	6

	2012
16.	A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Uspekhi Mat. Nauk, 67:2(404) (2012), 187–190 ; Russian Math. Surveys, 67:2 (2012), 375–379

Presentations in Math-Net.Ru

1.	Перестройки фронтов и каустик при симплектической редукции I. A. Bogaevsky November 11, 2022 15:30
2.	Фронты стратифицированных лежандровых подмногообразий в задачах теории дифференциальных уравнений и оптимизации (по диссертационной работе) I. A. Bogaevsky Dynamical systems and differential equations December 3, 2018 18:30
3.	Особенности подъема фронта аффинной по управлению системы I. A. Bogaevsky Geometric Theory of Optimal Control October 17, 2018 18:30
4.	Сублоренцевы структуры и аффинные по управлению системы I. A. Bogaevsky Geometric Theory of Optimal Control April 19, 2017 18:30
5.	Особенности решений уравнения в частных производных I. A. Bogaevsky Dynamical systems and differential equations May 23, 2016 18:30
6.	Singularities and transitions of mixed-type differential equations I. A. Bogaevsky International Conference on Differential Equations and Dynamical Systems July 8, 2014 09:45
7.	Typical transitions of implicit differential equations I. A. Bogaevsky International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold December 18, 2012 14:30
8.	Wave fronts, caustics and sub-Riemannian geometry I. A. Bogaevsky Dobrushin Mathematics Laboratory Seminar April 19, 2011 16:00
9.	Potential solutions of the Burgers equation with vanishing viscosity. II I. A. Bogaevsky School on Geometrical Methods of Mathematical Physics for graduate and Ph D students December 10, 2010 16:00
10.	Potential solutions of the Burgers equation with vanishing viscosity. I I. A. Bogaevsky School on Geometrical Methods of Mathematical Physics for graduate and Ph D students December 9, 2010 16:00
11.	Особенности распространения коротких линейных волн и субриманова геометрия I. A. Bogaevsky Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 23, 2010 11:00
12.	Разрывные градиентные динамические системы и траектории вариационных задач I. A. Bogaevsky Seminar "Optimal Control and Dynamical Systems" April 27, 2005

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