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Chueshov’s investigations were related to the well-posedness and asymptotic behavior of the evolutionary [[von Karman]] equations describing nonlinear oscillations of a thin elastic shell under the influence of non-conservative loads. One of Chueshov’s theorems provided a final solution to a well-known problem posed by I.V. Vorovich in the 1950's. The obtained results became an essential step in understanding the structure of attractors for [[dynamical systems]]. Chueshov was also a pioneer in his mathematical work on nonlinear fluid-structure interactions models, especially those arising in [[aeroelasticity]] (for instance, the nonlinear model of a [[fluttering]] [link here] panel studied by [[Earl Dowell]]).
Chueshov’s investigations were related to the well-posedness and asymptotic behavior of the evolutionary [[von Karman]] equations describing nonlinear oscillations of a thin elastic shell under the influence of non-conservative loads. One of Chueshov’s theorems provided a final solution to a well-known problem posed by I.V. Vorovich in the 1950's. The obtained results became an essential step in understanding the structure of attractors for [[dynamical systems]]. Chueshov was also a pioneer in his mathematical work on nonlinear fluid-structure interactions models, especially those arising in [[aeroelasticity]] (for instance, the nonlinear model of a [[fluttering]] [link here] panel studied by [[Earl Dowell]]).



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I. Chueshov succeeded in developing a new effective method for the analysis of general infinite-dimensional [[dissipative systems]] generated by nonlinear second-order in time equations. This method ---referred to as <b>quasi-stability theory</b><ref>{{Cite book|url=http://www.springer.com/us/book/9783319229027|title=Dynamics of Quasi-Stable Dissipative Systems, - Springer, XVII+390p.; |last=Chueshov|first=Igor|year=2015|publisher=Springer|location=|pages=|doi=10.1007/978-3-319-22903-4|isbn=978-3-319-22902-7|series=Universitext }}</ref>---is based on the so-called "stabilization inequality", and was developed in cooperation with mathematicians from the United States (primarily <ref>{{Cite book|url=http://www.ams.org/bookstore-getitem/item=MEMO-195-912|title=Long-time Behaviour of Second Order Evolution Equations with Nonlinear Damping, Memoirs of AMS no 912, Amer.Math.Soc., Providence, RI|last= I.D. Chueshov and I. Lasiecka|year=2008|publisher=Springer|location=|pages=|isbn=978-0-8218-4187-7}}</ref> <ref>{{Cite book|url=http://www.springerlink.com/content/978-0-387-87711-2|title=Von Karman Evolution Equations, - Springer, 778 p;|last= I.D. Chueshov and I. Lasiecka|year=2010|publisher=Springer|location=|pages=|doi=10.1007/978-0-387-87712-9|isbn=978-3-319-22902-7|series=Springer Monographs in Mathematics}}</ref> [[Irena Lasiecka]]

BOY
⚫
I. Chueshov succeeded in developing a new effective method for the analysis of general infinite-dimensional [[dissipative systems]] generated by nonlinear second-order in time equations. This methov and I. Lasiecka|year=2008|publisher=Springer|location=|pages=|isbn=978-0-8218-4187-7}}</ref> <ref>{{Cite book|url=http://www.springerlink.com/content/978-0-387-87711-2|title=Von Karman Evolution Equations, - Springer, 778 p;|last= I.D. Chueshov and I. Lasiecka|year=2010|publisher=Springer|location=|pages=|doi=10.1007/978-0-387-87712-9|isbn=978-3-319-22902-7|series=Springer Monographs in Mathematics}}</ref> [[Irena Lasiecka]]
). Quasi-stability allows one to resolve many important questions that arise in the hyperbolic dynamics with nonlinear internal or boundary dissipation, relying only on a single estimate. I. Chueshov also obtained important results on the uniqueness of [[invariant measures]] for stochastic perturbations of the three-dimensional [[Navier-Stokes equations]] in thin regions. The results provide a fundamental opportunity to use methods of two-dimensional stochastic hydrodynamics to describe the phenomenon of [[turbulence]] in some three-dimensional systems.
). Quasi-stability allows one to resolve many important questions that arise in the hyperbolic dynamics with nonlinear internal or boundary dissipation, relying only on a single estimate. I. Chueshov also obtained important results on the uniqueness of [[invariant measures]] for stochastic perturbations of the three-dimensional [[Navier-Stokes equations]] in thin regions. The results provide a fundamental opportunity to use methods of two-dimensional stochastic hydrodynamics to describe the phenomenon of [[turbulence]] in some three-dimensional systems.
Igor Dmitrievich was one of the founders of the theory of monotone stochastic dynamical systems. Together with Professor L. Arnold, he obtained fundamental results on the structure of [[random attractors]] and introduced the important concept of the semi-equilibrium state of a monotone [[stochastic system]]. These results became the basis of the unique monograph on monotonous stochastic dynamic systems published by Springer <ref>{{Cite book|title=Monotone Random Systems Theory and Applications - Springer|volume = 1779|last=Chueshov|first=Igor|year=2002|publisher=Springer|location=|pages=|doi=10.1007/b83277|isbn=978-3-540-43246-3|series = Lecture Notes in Mathematics}}</ref> in 2002.
Igor Dmitrievich was one of the founders of the theory of monotone stochastic dynamical systems. Together with Professor L. Arnold, he obtained fundamental results on the structure of [[random attractors]] and introduced the important concept of the semi-equilibrium state of a monotone [[stochastic system]]. These results became the basis of the unique monograph on monotonous stochastic dynamic systems published by Springer <ref>{{Cite book|title=Monotone Random Systems Theory and Applications - Springer|volume = 1779|last=Chueshov|first=Igor|year=2002|publisher=Springer|location=|pages=|doi=10.1007/b83277|isbn=978-3-540-43246-3|series = Lecture Notes in Mathematics}}</ref> in 2002.

Revision as of 01:19, 19 November 2018

Igor Chueshov
Born(1951-09-23)23 September 1951
Leningrad
Died23 April 2016(2016-04-23) (aged 64)
Kharkiv, Ukraine
Other namesІгор Дмитрович Чуєшов
EducationKharkiv University (now V.N.Karazin Kharkiv National University [])
Alma materKharkiv University (MS, 1973)
Known for
AwardsLaureate of the State Prize of Ukraine in the field of science and technology (2010)
Scientific career
FieldsMathematics and physics
InstitutionsV.N.Karazin Kharkiv National University
Thesis (1977)
Doctoral students

Igor Dmitrievich Chueshov (23 September 1951 – 23 April 2016) was a Ukrainian mathematician, correspondent member of the National Academy of Science of Ukraine for the Section of Mathematics (speciality probability theory and mathematical physics), Professor in the Department of Mathematical Physics and Computational Mathematics.

Early life and academic career

Igor Dmitrievich was born on September 23, 1951, in Leningrad. In 1968, he graduated from high school in the city of Kupyansk (Kharkiv region) and entered the Kharkiv University in the Faculty of Mechanics and Mathematics. In 1973, he graduated (received Master of Science degree) from the University in "Mathematics"; He worked at the Faculty of Mechanics and Mathematics from the time of graduation until his death.

Research

In 1977 [1] he defended the Candidate of Science degree (similar to Ph.D.), and in 1990 he defended a Doctor of Physical and Mathematical Sciences dissertation (equivalent to Habilitation) on the topic: "Mathematical description of the nonregular dynamics of the elastic shell". Since 1992 Chueshov was a Professor of the Department of Mathematical Physics and Computational Mathematics. In February 2000, he was elected the head of the department, and in February 2009 he was elected a Correspondent Member of the National Academy of Sciences of Ukraine for the Section of Mathematics (specialty "Probability Theory and Mathematical Physics" ). He was also laureate of the State Prize of Ukraine in the field of science and technology (2010).

I. Chueshov was the author of many important fundamental mathematical works. His research constitutes a significant contribution to mathematical physics, and significantly influenced the development of the modern theory of infinite-dimensional dynamical systems[2]. He solved a number of important problems associated with nonlinear partial differential equations that arise in mechanics and physics, initiating the development of several areas in the qualitative theory of dissipative systems. Chueshov’s investigations were related to the well-posedness and asymptotic behavior of the evolutionary von Karman equations describing nonlinear oscillations of a thin elastic shell under the influence of non-conservative loads. One of Chueshov’s theorems provided a final solution to a well-known problem posed by I.V. Vorovich in the 1950's. The obtained results became an essential step in understanding the structure of attractors for dynamical systems. Chueshov was also a pioneer in his mathematical work on nonlinear fluid-structure interactions models, especially those arising in aeroelasticity (for instance, the nonlinear model of a fluttering [link here] panel studied by Earl Dowell).


BOY I. Chueshov succeeded in developing a new effective method for the analysis of general infinite-dimensional dissipative systems generated by nonlinear second-order in time equations. This methov and I. Lasiecka|year=2008|publisher=Springer|location=|pages=|isbn=978-0-8218-4187-7}}</ref> [3] Irena Lasiecka ). Quasi-stability allows one to resolve many important questions that arise in the hyperbolic dynamics with nonlinear internal or boundary dissipation, relying only on a single estimate. I. Chueshov also obtained important results on the uniqueness of invariant measures for stochastic perturbations of the three-dimensional Navier-Stokes equations in thin regions. The results provide a fundamental opportunity to use methods of two-dimensional stochastic hydrodynamics to describe the phenomenon of turbulence in some three-dimensional systems. Igor Dmitrievich was one of the founders of the theory of monotone stochastic dynamical systems. Together with Professor L. Arnold, he obtained fundamental results on the structure of random attractors and introduced the important concept of the semi-equilibrium state of a monotone stochastic system. These results became the basis of the unique monograph on monotonous stochastic dynamic systems published by Springer [4] in 2002.

I. Chueshov was the author of more than 150 scientific works which include 5 monographs[5][6], a member of the editorial board of the journals "Journal of Mathematical_Physics,_Analysis, Geometry", "Ukrainian Mathematical Journal", "Stochastics and Dynamics", "International Journal of Differential Equations" and "Visnyk of V.N.Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics"[7][8], and a member in several international mathematical societies as well as guest professor at various universities. Under his supervision, seven Candidates' theses (Ph.D.s) were defended (A.Rezounenko, A.Rekalo, O.Shcherbina, T.Fastovskaya, I.Ryzhkova, O.Naboka, and M.Potemkin).

References

  1. ^ Igor D. Chueshov. Mathematics Genealogy Project http://www.genealogy.ams.org/id.php?id=73609
  2. ^ I.D. Chueshov, (1999), Introduction to the Theory of Infinite-Dimensional Dissipative Systems. Acta, Kharkov (Russian); English transl.: Acta, Kharkov, 2002; see also http://www.emis.de/monographs/Chueshov/
  3. ^ I.D. Chueshov and I. Lasiecka (2010). Von Karman Evolution Equations, - Springer, 778 p;. Springer Monographs in Mathematics. Springer. doi:10.1007/978-0-387-87712-9. ISBN 978-3-319-22902-7.
  4. ^ Chueshov, Igor (2002). Monotone Random Systems Theory and Applications - Springer. Lecture Notes in Mathematics. Vol. 1779. Springer. doi:10.1007/b83277. ISBN 978-3-540-43246-3.
  5. ^ I. Chueshov. scholar.google citations https://scholar.google.com/citations?user=aXqh-uAAAAAJ&hl=en
  6. ^ Chueshov, Igor D., Scopus: Author details. https://www.scopus.com/authid/detail.uri?authorId=7004318376
  7. ^ http://vestnik-math.univer.kharkov.ua
  8. ^ Igor Dmitrievich Chueshov (obituary), Visnyk of V.N.Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics, and Mechanics, Volume 83, 2016, P.57-59; (in Russian) http://vestnik-math.univer.kharkov.ua/Vestnik-KhNU-83-2016-chueshov.pdf
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