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Chueshov authored a number of papers in the field of fundamental mathematics. He made significant contributions to mathematical physics and influenced the development of modern infinite-dimensional dynamical systems theory.[2] He solved a number of important problems associated with non-linear 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 solution to a well-known problem posed by I.V. Vorovich in the 1950s. The results became an essential step in understanding the structure of attractors for dynamical systems. Chueshov was also a pioneer in the field of nonlinear fluid-structure interactions models, especially those arising in aeroelasticity (for instance, the nonlinear model of a fluttering panel studied by Earl Dowell).
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Igor Chueshov, Björn Schmalfuß
Applied Mathematical Sciences (2020)
user-5e9d449e4c775e765d44d7c9(2017)
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К Е Вейн,Clarence Eugene Wayne,Томас Каппелер,Thomas Kappeler, Герасим Юрьевич Кокарев, Gerasim Yur'evich Kokarev, Вальтер Крейг,Walter Craig, Андрей Львович Пятницкий, Andrey Lvovich Piatnitski,Игорь Дмитриевич Чуешов,Igor Dmitrievich Chueshov,
Uspekhi Matematicheskikh NaukУспехи математических наукno. 1(427) (2016): 177-183
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONSno. 1 (2016): 1-29
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