Research interests

The main direction of E.A. Sevost’yanov’s investigations is the study of space mappings with branching, i.e., the study of mappings which are not to be supposed homeomorphisms. The main achievements E.A. Sevost’yanov are the extension of some classical theorems of complex (space) analysis to the mappings with non–bounded characteristics of quasiconformality.  In particular, E.A. Sevost’yanov  have proved the analogues of the theorems of Sokhotski–Weierstrass and Picard, theorem of Liouville, theorem of Lavrent’ev–Zorich about global homeomorphism, the analogues of the inequalities of Vaisala and Poletskii for some wide class of space mappings and some others.

Grants and awards

By the decision of Academic Council of Institute of Applied Mathematics and Mechanics, E.A. Sevost’yanov  have  been awarded the so–called bonus (2006) by G.D. Suvorov who was one of the leader experts in the theory of mappings with the bounded Dirichlet integral and one of the founders of the Institute of Applied Mathematics and Mechanics. In 2009 E.A. Sevost’yanov was awarded by diploma of executive committee of Donetsk city soviet for stainless work, weighted achievements in the professional activity, personal contribution in the development of native science and on the occasion of  Day of Science.  

In 2010 E.A. Sevost’yanov was also awarded by the Diploma of the Department of the Education and Science of Donetsk Regional Administration on the occasion of  Day of Science.

In 2010 E.A. Sevost’yanov (together with R.R. Salimov and Yu.S. Kolomoitsev) have got a bonus of Verkhovna Rada of Ukraine which was awarded them in the following direction: «… to the most successful young scientists in the topic of fundamental and applicable investigations and scientific achievements». The above bonus was gotten by authors for a serious of the works named «The investigations in the theory of mappings with finite distortion and approximation of functions in the quasi–norm spaces (in Russian) » (Decision of Verkhovna Rada of Ukraine from February, 2, of 2010 year, minutes № 1847 – VI).

 

Career

Evgeni Aleksandrovich Sevost’yanov (8, October, 1980, Donetsk, Ukraine), senior researcher of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Cand. of Phys.–Math. Scie. (2006) on the specialty 01.01.01 «mathematical analysis».  

E.A. Sevost’yanov was graduated fr om the Donetsk National University in 2002. Before 2002, his scientific work was closely connected with the Department of the Mathematical Analysis and Function Theory in the Donetsk National University, and his scientific adviser Cand. Phys.–Math. Scie., associate Professor, Viktor Zastavny.

In 2002 E.A. Sevost’yanov entered the post-graduate courses of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine, wh ere his new supervisor was Professor Vladimir Illich Ryazanov. He graduated from the post–graduate courses in 2005. Later, in the February of 2006, E.A. Sevost’yanov successfully defended a thesis «On the convergence theory of space mappings with finite length distortion» and after that have got a degree of Candidate of Phys.–Math. Scie. Supervisor on the above thesis was Professor Vladimir Ryazanov.

Note that the scientific opinion of E.A. Sevost’yanov was also formed by the help of such mathematicians as Vladimir Gutlyanski, Vladimir Miklyukov, Bogdan Bojarski, Viktor Zastavny and others.

E.A. Sevost’yanov has active collaboration with Ruslan Salimov, who is his friend, and has some number of joint work with him. It is necessary to note other contacts of E.A. Sevost’yanov with young mathematicians such as S.M. Zagorodnyuk, D.P. Ilyutko, I.M. Pupyshev and others.

 

 On the years:

 

1997–2002   Donetsk National University, Dept. Math., Donetsk, Ukraine, student

XI.2002 – X.2005 Institute of Applied Mathematics and Mechanics, NAS of Ukraine, post–graduate student

XI.2005 – V.2008  Donetsk, Ukraine, junior researcher

VI.2008 – III.2010 Donetsk, Ukraine, researcher

IV.2010–prime time  Donetsk, Ukraine, senior researcher

 

Conferences

 

2004 – International School – Conference in Analysis and Geometry dedicated to the 75–years of Academician of Yu.G. Reshetnyak, Novosibirsk, Russia.

2006 – International School–Conference in Analysis and Geometry dedicated to the memory of N.V. Efimov, Novorossiysk, Russia.

2007 – International Conference in Geometric Analysis and Nonlinear PDE, Bendlewo, Poland.

2007– International Conference Bogolyubov Readings 2007 dedicated to Yu. A. Mitropolskii on the occasion of his 90-th birthday, Zhitomir–Kiev, Ukraine

2008 – International Conference “Analysis and Topology”, Lviv, May, 26 – June 7 2008

2009 – Intern. Conf. “Analytic methods of mechanics and complex analysis” dedicated to N.A. Kilchevskii and V.A. Zmorovich on the occasion of their birthday centenary, Kiev, June 29 – July 5

2009 – Intern. Conf. "Analysis on Metric Spaces and Quasiconformal Structures", 14–19 September, Warszawa, Poland

2009 – Intern. Conf. “Conformal Structures and Dynamics (CODY) Third Year Conference”, Bendlewo, Poland, September 21–26

2010 – Intern. Conference on Complex Analysis, dedicated to the memory of A. Goldberg. Lvov, May, 31 – June, 5, 2010, Lvov, Ukraine

2010 – Intern. Summer Math. School dedicated to the memory of V.A. Plotnikov, August, 9 – August, 14, 2010, Odessa, Ukraine

Publications

1. E. Sevost'yanov. Compactness theory and mappings with finite length distortion // Sib. Adv. in Math. – V. 19, no. 3. – 2009. – P. 179 – 191.
    
    
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2. E.A. Sevost'yanov. The Väisälä inequality for mappings with finite length distortion // Complex Variables and Elliptic Equations. – V. 55, no. 1–3. – 2010. – P. 91 – 101.
    
    
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3. R.R. Salimov and E.A. Sevost'yanov. ACL and differentiability of the open discrete ring mappings // Complex Variables and Elliptic Equations. – V. 55, no. 1–3. – 2010. – P. 49 – 59.
    
    
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4. V. Ryazanov and E. Sevost'yanov. Toward the theory of ring Q–homeomorphisms // Israel J. Math. – V. 168. – 2008. – P. 101– 118.
    
    
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5. V.I. Ryazanov and E.A. Sevost’yanov. On normal families of homeomorphisms // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2004. – Vol. 9. – P. 161–176.
    
    
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6. V. Ryazanov and E. Sevost'yanov. On normal families of space mappings // Reports of NAS of Ukraine. – 2004. – No. 3. – P. 19–24 (in Russian).
    
7. V.I. Ryazanov and E.A. Sevost'yanov. Uniformly equicontinuous classes of rings Q–homeomorphisms // Siberian Math. Journ. – 2007. – Vol. 48. – No. 6. – P. 1361–1376 (in Russian).
    
    
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8. E.A. Sevost'yanov. Uniform continuity of one family of space mappings in the closer of domain // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2009. – Vol. 19. – P. 225–233 (in Russian).
    
9. E.A. Sevost'yanov. To the convergence theory of space mappings of Sobolev class // Reports of NAS of Ukraine. – 2005. – No. 10. – P. 40–41 (in Russian).
    
10. E.A. Sevost'yanov. To the theory of removability of singularities of mappings with non-bounded characteristic of quasiconformality // Izv. AN Rossii, ser. Math. – V. 74, no. 1. – 2010. – P. 159 – 174.
     
     
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11. E.A. Sevost'yanov. Analogues of the Sokhotsky’s and Picard’s theorems for mappings with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2007. – Vol. 15. – P. 190–198 (in Russian).
     
12. E.A. Sevost'yanov. On the convergence theory of space mappings with finite length distortion, Abstract of thesis on competition of Academic Degree of Candidate of Phys.–Math. Sciences, Donetsk, 2005, 18 pp. (in Russian).
     
     
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13. V.I. Ryazanov and E.A. Sevost'yanov. Normal families of space mappings // Siberian Electronic Mathematical Reports. www.semr.math.nsc.ru. – 2006. – Vol. 3. – P. 216–231.
     
     
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14. E.A. Sevost'yanov. About closeness and compactness of families of space mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2005. – Vol. 11. – P. 113–118 (in Russian).
     
     
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15. E.A. Sevost'yanov. On the branch sets of one class of the mappings // Proc. Inst. Math. of NASU, Kiev. – 2010. – Vol. 7, no.2. – P. 297–303 (in Russian).
     
16. E.A. Sevost'yanov. About branch sets of the mappings with finite length distortion in ${\Bbb R}^3$ // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2010. – Vol. 20. – P. 139–148 (in Russian).
     
17. E.A. Sevost'yanov. On the branch sets of mappings, which are more general, than quasiregular mappings // Ukr. Math. J. – 2010. – Vol. 62, no.2. – P. 215–230 (in Russian).
     
18. E.A. Sevost'yanov. About normality of families of the space mappings with branching // Proc. Inst. Math. of NASU, Kiev. – 2006. – Vol. 3. – P. 454–464 (in Russian).
     
19. E.A. Sevost'yanov. About normal families of space mappings with branching // Ukr.Math. J. – 2008. – V.10. – P. 1389–1400.
     
     
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20. E.A. Sevost'yanov. On semicontinuity of dilatations of homeomorphisms with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2006. – Vol. 13. – P. 174–184 (in Russian).
     
     
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21. E.A. Sevost'yanov. About connectedness of mappings with finite distortion with distortion of lengths in // Bull. of the Dnepropetrovsk Nat. Univ., Ser. Math. – 2009. – Vol. 17, iss. 14, no. 6/1. – P. 112–119. (in Russian).
     
22. E.A. Sevost'yanov. On convergence of space homeomorphisms of the Sobolev class // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2004. – Vol. 9. – P. 177–182 (in Russian).
     
     
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23. E.A. Sevost'yanov. On convergence theorems of mappings with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine.–2005. – Vol. 10. – P. 173–183 (in Russian).
     
     
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24. E.A. Sevost'yanov. On the branch points of the mappings with non–bounded characteristics of quasiconformality // Sib. Math. J. – 2010. – Vol. 51, no. 5. – P. 1129–1146 (in Russian).
     
     
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25. E.A. Sevost'yanov. About integral characterization of some generalizations of quasiregular mappings and mean of integral divergence in the geometrical function theory // Ukr. Math. J. – 2009. – Vol. 61, no. 10. – P. 1367–1380. (in Russian).
     
26. E.A. Sevost'yanov. About one modulus inequality for mappings with finite length distortion // Ukr. Math. J. – 2009. – Vol. 61, no.5. – P. 680–688 (in Russian).
     
     
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27. E.A. Sevost'yanov. On removability of singularities of open discrete mappings // Bull. of the Dnepropetrovsk Nat. Univ. – 2007. – 12. – P. 124–133.
     
28. E.A. Sevost'yanov. Generalization of one lemma of E.A. Poletskii on the classes o space mappings // Ukr. Math. J. – 2009. – Vol. 61, no.7. – P. 969–975 (in Russian).
     
29. E.A. Sevost'yanov. Estimates of distortion and normal families of the ring mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2007. – Vol. 14. – P. 150–161 (in Russian).
     
30. Sevost'yanov E.A. Essential singularities and branches of the discrete open ring mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. - 2008. – Vol. 17. – P. 166–174 (in Russian).
     
     
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31. E.A. Sevost'yanov. Theorems of Liouville, Picard and Sohotskii for ring mappings // Ukr. Math. Bull. – 2008. – Vol. 5, no. 3. – P. 366–381.
     
     
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32. E.A. Sevost'yanov. Theory of moduli, capacities and normal families of mappings admitting a branching // Ukr. Math. Bull. – 2007. – Vol. 4, no. 4. – P. 583–604.
     
     
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33. E.A. Sevost'yanov. Convergence theory and quasilinear Beltrami equation // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine.– 2006. – Vol. 12. – P. 128–139 (in Russian).
     
     
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34. E.A. Sevost'yanov. Removability of singularities and analogues of Sokhotski–Weierstrass theorem for Q – mappings // Ukr. Math. J. – 2009. – Vol. 61, no.1. – P. 116—126. (in Russian).
     
     
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35. R.R. Salimov and E.A. Sevost'yanov. Estimate of dilatations for open discrete Q–mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2009. – Vol. 18. – P. 148–154 (in Russian).
     
36. R.R. Salimov and E.A. Sevost'yanov. ACL and differentiability a.e. of ring homeomorphisms // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2008. – Vol. 16. – P. 171–178 (in Russian).
     
     
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37. R.R. Salimov and E.A. Sevost'yanov. Analogue of the Lavrent'ev – Zorich theorem for mappings, which are more general than quasiconformal // Reports of NAS of Ukraine. – 2010. – No. 7. – P. 22–27 (in Russian).
     
38. R.R Salimov and E.A. Sevost'yanov.The theory of shell-based Q –mappings in geometric function theory // Sbornik Math. – 2010. – Vol. 201, no. 6. – P. 909–934.
     
     
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