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Bogaevsky, Ilya Aleksandrovich

Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 15
Presentations: 12

Number of views:
This page:5639
Abstract pages:7385
Full texts:2654
References:676
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/?q=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  mathnet  mathscinet; Theoret. and Math. Phys., 218:1 (2024), 19–40  scopus 1
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  mathnet  mathscinet; Proc. Steklov Inst. Math., 321 (2023), 54–68  scopus
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  mathnet  mathscinet; Sb. Math., 213:5 (2022), 624–640  isi  scopus 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 67–78  isi  scopus 4
5. I. Bogaevsky, “Fundamental solution of the stationary Dirac equation with a linear potential”, TMF, 205:3 (2020),  349–367  mathnet  mathscinet  elib; Theoret. and Math. Phys., 205:3 (2020), 1547–1563  isi  scopus 1
2014
6. I. A. Bogaevsky, “Implicit ordinary differential equations: bifurcations and sharpening of equivalence”, Izv. RAN. Ser. Mat., 78:6 (2014),  5–20  mathnet  mathscinet  zmath  elib; Izv. Math., 78:6 (2014), 1063–1078  isi  elib  scopus 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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 278 (2012), 22–26  isi  elib  scopus
2009
8. I. A. Bogaevsky, “Caustics of Interior Scattering”, Trudy Mat. Inst. Steklova, 267 (2009),  7–13  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 267 (2009), 1–7  isi  scopus 2
2006
9. I. A. Bogaevsky, “Discontinuous gradient differential equations and trajectories in calculus of variations”, Mat. Sb., 197:12 (2006),  11–42  mathnet  mathscinet  zmath  elib; Sb. Math., 197:12 (2006), 1723–1751  isi  elib  scopus 17
2003
10. I. A. Bogaevsky, “New singularities and perestroikas of fronts of linear waves”, Mosc. Math. J., 3:3 (2003),  807–821  mathnet  mathscinet  zmath  isi 4
1998
11. I. A. Bogaevsky, “Singularities of Convex Hulls of Three-Dimensional Hypersurfaces”, Trudy Mat. Inst. Steklova, 221 (1998),  81–100  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; Sb. Math., 186:11 (1995), 1581–1597  isi 4
13. I. A. Bogaevsky, “Perestroikas of fronts in evolutionary families”, Trudy Mat. Inst. Steklov., 209 (1995),  65–83  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:2 (1990), 97–103  isi 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  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:2 (2012), 375–379  isi

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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