Chueshov, Igor; Fastovska, Tamara; Ryzhkova, Iryna Quasi-stability method in study of asymptotic behavior of dynamical systems. (English) Zbl 1451.37005 J. Math. Phys. Anal. Geom. 15, No. 4, 448-501 (2019). MSC: 37-02 37L05 37L15 37L30 35B40 35B41 PDFBibTeX XMLCite \textit{I. Chueshov} et al., J. Math. Phys. Anal. Geom. 15, No. 4, 448--501 (2019; Zbl 1451.37005) Full Text: DOI
Chueshov, Igor; Dowell, Earl H.; Lasiecka, Irena; Webster, Justin T. Nonlinear elastic plate in a flow of gas: recent results and conjectures. (English) Zbl 1354.35148 Appl. Math. Optim. 73, No. 3, 475-500 (2016). MSC: 35Q74 74K20 74F20 76G25 76J20 35B40 74B20 35B41 PDFBibTeX XMLCite \textit{I. Chueshov} et al., Appl. Math. Optim. 73, No. 3, 475--500 (2016; Zbl 1354.35148) Full Text: DOI arXiv
Chueshov, Igor Synchronization in coupled second order in time infinite-dimensional models. (English) Zbl 1351.37260 Dyn. Partial Differ. Equ. 13, No. 1, 1-29 (2016). MSC: 37L15 34D06 37L30 35B35 PDFBibTeX XMLCite \textit{I. Chueshov}, Dyn. Partial Differ. Equ. 13, No. 1, 1--29 (2016; Zbl 1351.37260) Full Text: DOI arXiv
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T. Attractors for delayed, nonrotational von Karman plates with applications to flow-structure interactions without any damping. (English) Zbl 1299.74053 Commun. Partial Differ. Equations 39, No. 11, 1965-1997 (2014). MSC: 74F10 35L20 35B41 35Q74 35M33 PDFBibTeX XMLCite \textit{I. Chueshov} et al., Commun. Partial Differ. Equations 39, No. 11, 1965--1997 (2014; Zbl 1299.74053) Full Text: DOI arXiv
Chueshov, Igor Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid. (English) Zbl 1457.35035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 650-665 (2014). MSC: 35Q35 74F10 35B30 35B40 35B41 PDFBibTeX XMLCite \textit{I. Chueshov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 650--665 (2014; Zbl 1457.35035) Full Text: DOI
Chueshov, Igor Quantum Zakharov model in a bounded domain. (English) Zbl 1291.35245 Z. Angew. Math. Phys. 64, No. 4, 967-989 (2013). MSC: 35Q40 35B40 37L30 PDFBibTeX XMLCite \textit{I. Chueshov}, Z. Angew. Math. Phys. 64, No. 4, 967--989 (2013; Zbl 1291.35245) Full Text: DOI arXiv
Chueshov, Igor; Shcherbina, Alexey Semi-weak well-posedness and attractors for 2D Schrödinger-Boussinesq equations. (English) Zbl 1282.35320 Evol. Equ. Control Theory 1, No. 1, 57-80 (2012). MSC: 35Q40 35B40 37L05 37L30 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{A. Shcherbina}, Evol. Equ. Control Theory 1, No. 1, 57--80 (2012; Zbl 1282.35320) Full Text: DOI
Chueshov, Igor Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. (English) Zbl 1237.37053 J. Differ. Equations 252, No. 2, 1229-1262 (2012). Reviewer: Dalibor Prazak (Praha) MSC: 37L30 35B40 37L15 35B41 PDFBibTeX XMLCite \textit{I. Chueshov}, J. Differ. Equations 252, No. 2, 1229--1262 (2012; Zbl 1237.37053) Full Text: DOI arXiv
Chueshov, Igor; Kolbasin, Stanislav Plate models with state-dependent damping coefficient and their quasi-static limits. (English) Zbl 1372.74055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1626-1644 (2010). MSC: 74K20 35Q74 35B35 74H40 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{S. Kolbasin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1626--1644 (2010; Zbl 1372.74055) Full Text: DOI
Bucci, Francesca; Chueshov, Igor Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. (English) Zbl 1160.37032 Discrete Contin. Dyn. Syst. 22, No. 3, 557-586 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37L30 35M20 74H40 PDFBibTeX XMLCite \textit{F. Bucci} and \textit{I. Chueshov}, Discrete Contin. Dyn. Syst. 22, No. 3, 557--586 (2008; Zbl 1160.37032) Full Text: DOI arXiv
Chueshov, Igor; Lasiecka, Irena Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping. (English) Zbl 1116.35017 J. Differ. Equations 233, No. 1, 42-86 (2007). Reviewer: Igor Bock (Bratislava) MSC: 35B40 34D35 37L30 74K20 35L75 35B41 35L35 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{I. Lasiecka}, J. Differ. Equations 233, No. 1, 42--86 (2007; Zbl 1116.35017) Full Text: DOI
Lasiecka, Irena; Chueshov, Igor Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. (English) Zbl 1150.35079 Milan J. Math. 74, 117-138 (2006). Reviewer: Milan Pokorný (Praha) MSC: 35Q72 35B41 37L30 74H40 74K20 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{I. Chueshov}, Milan J. Math. 74, 117--138 (2006; Zbl 1150.35079) Full Text: DOI
Chueshov, Igor; Lasiecka, Irena Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models. (English) Zbl 1220.35014 Discrete Contin. Dyn. Syst. 15, No. 3, 777-809 (2006). Reviewer: Michael Scheutzow (Berlin) MSC: 35B41 47H10 34D35 60H25 35G25 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{I. Lasiecka}, Discrete Contin. Dyn. Syst. 15, No. 3, 777--809 (2006; Zbl 1220.35014) Full Text: DOI
Chueshov, Igor D.; Shcherbina, Aleksey S. On 2D Zakharov system in a bounded domain. (English) Zbl 1212.35361 Differ. Integral Equ. 18, No. 7, 781-812 (2005). Reviewer: Ivan Straškraba (Praha) MSC: 35Q35 35B40 37L30 PDFBibTeX XMLCite \textit{I. D. Chueshov} and \textit{A. S. Shcherbina}, Differ. Integral Equ. 18, No. 7, 781--812 (2005; Zbl 1212.35361)
Chueshov, I. D.; Rekalo, A. M. Long-time dynamics of reaction-diffusion equations on thin two-layer domains. (English) Zbl 1108.35081 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 645-650 (2005). MSC: 35K55 35B40 35B41 35K57 PDFBibTeX XMLCite \textit{I. D. Chueshov} and \textit{A. M. Rekalo}, in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 645--650 (2005; Zbl 1108.35081)
Chueshov, Igor D.; Raugel, Geneviéve; Rekalo, Andrey M. Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains. (English) Zbl 1078.35084 J. Differ. Equations 208, No. 2, 449-493 (2005). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 76D05 86A05 86A10 37L30 PDFBibTeX XMLCite \textit{I. D. Chueshov} et al., J. Differ. Equations 208, No. 2, 449--493 (2005; Zbl 1078.35084) Full Text: DOI
Boutet de Monvel, L.; Chueshov, I. D. Oscillations of von Kármán’s plate in a potential flow of gas. (English. Russian original) Zbl 0948.74017 Izv. Math. 63, No. 2, 219-244 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 2, 3-28 (1999). Reviewer: N.A.Lar’kin (Maringa) MSC: 74F10 74K20 76G25 74H20 74H25 74H45 PDFBibTeX XMLCite \textit{L. Boutet de Monvel} and \textit{I. D. Chueshov}, Izv. Math. 63, No. 2, 219--244 (1999; Zbl 0948.74017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 2, 3--28 (1999) Full Text: DOI
Boutet de Monvel, Anne; Chueshov, Igor The problem on interaction of von Kármán plate with subsonic flow of gas. (English) Zbl 0932.74021 Math. Methods Appl. Sci. 22, No. 10, 801-810 (1999). MSC: 74F10 74K20 76G25 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{I. Chueshov}, Math. Methods Appl. Sci. 22, No. 10, 801--810 (1999; Zbl 0932.74021) Full Text: DOI
Boutet de Monvel, Louis; Chueshov, Igor Non-linear oscillations of a plate in a flow of gas. (English. Abridged French version) Zbl 0853.73052 C. R. Acad. Sci., Paris, Sér. I 322, No. 10, 1001-1006 (1996). MSC: 74F10 74K20 76G25 76J20 PDFBibTeX XMLCite \textit{L. Boutet de Monvel} and \textit{I. Chueshov}, C. R. Acad. Sci., Paris, Sér. I 322, No. 10, 1001--1006 (1996; Zbl 0853.73052)
Chueshov, I. On a description of long-time behaviour of dissipative perturbations of infinite dimensional Hamiltonian systems. (English) Zbl 0890.35014 Z. Angew. Math. Mech. 76, Suppl. 2, 53-56 (1996). MSC: 35B40 37J99 35Q53 35Q55 PDFBibTeX XMLCite \textit{I. Chueshov}, Z. Angew. Math. Mech. 76, 53--56 (1996; Zbl 0890.35014)
Chueshov, I. D.; Rezounenko, A. V. Global attractors for a class of retarded quasilinear partial differential equations. (English) Zbl 0862.35132 Mat. Fiz. Anal. Geom. 2, No. 3-4, 363-383 (1995). Reviewer: D.Bainov (Sofia) MSC: 35R10 35B40 28A80 PDFBibTeX XMLCite \textit{I. D. Chueshov} and \textit{A. V. Rezounenko}, Mat. Fiz. Anal. Geom. 2, No. 3--4, 363--383 (1995; Zbl 0862.35132)
Girya, T. V.; Chueshov, I. D. Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems. (English. Russian original) Zbl 0851.60036 Sb. Math. 186, No. 1, 29-45 (1995); translation from Mat. Sb. 186, No. 1, 29-46 (1995). MSC: 60G10 34D45 PDFBibTeX XMLCite \textit{T. V. Girya} and \textit{I. D. Chueshov}, Sb. Math. 186, No. 1, 29--45 (1995; Zbl 0851.60036); translation from Mat. Sb. 186, No. 1, 29--46 (1995) Full Text: DOI
Chueshov, I. D. Regularity of solutions and approximate inertial manifolds for von Karman evolution equations. (English) Zbl 0836.35100 Math. Methods Appl. Sci. 17, No. 9, 667-680 (1994). Reviewer: M.Rahula (Tartu) MSC: 35L75 35B40 37C70 74K20 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Math. Methods Appl. Sci. 17, No. 9, 667--680 (1994; Zbl 0836.35100) Full Text: DOI
Chueshov, I. D. Strong solutions and the attractor of the von Kármán equations. (English. Russian original) Zbl 0725.35057 Math. USSR, Sb. 69, No. 1, 25-36 (1991); translation from Mat. Sb. 181, No. 1, 25-36 (1990). MSC: 35L35 35B40 74H45 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Math. USSR, Sb. 69, No. 1, 25--36 (1991; Zbl 0725.35057); translation from Mat. Sb. 181, No. 1, 25--36 (1990) Full Text: DOI
Chueshov, I. D. A problem on the nonlinear oscillations of a shallow shell in quasistatic formulation. (English. Russian original) Zbl 0721.73028 Math. Notes 47, No. 4, 401-407 (1990); translation from Mat. Zametki 47, No. 4, 128-137 (1990). Reviewer: Y.Kivshar (Khar’kov) MSC: 74H45 35B40 35L35 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Math. Notes 47, No. 4, 401--407 (1990; Zbl 0721.73028); translation from Mat. Zametki 47, No. 4, 128--137 (1990) Full Text: DOI
Chueshov, I. D. Strong solutions and the attractor of a system of Kárman equations. (Russian) Zbl 0707.35085 Mat. Sb. 181, No. 1, 25-36 (1990). Reviewer: P.Polacik MSC: 35L35 35B40 74H45 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Mat. Sb. 181, No. 1, 25--36 (1990; Zbl 0707.35085) Full Text: EuDML
Chueshov, I. D. Finite dimensionality of an attractor in some problems of nonlinear shell theory. (English. Russian original) Zbl 0677.73016 Math. USSR, Sb. 61, No. 2, 411-420 (1988); translation from Mat. Sb., Nov. Ser. 133(175), No. 4(8), 419-428 (1987). MSC: 74B20 35B40 74K15 35G25 35G30 76J20 74H45 74F10 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Math. USSR, Sb. 61, No. 2, 411--420 (1988; Zbl 0677.73016); translation from Mat. Sb., Nov. Ser. 133(175), No. 4(8), 419--428 (1987) Full Text: DOI
Chueshov, I. D. Strong solutions and attractor of the system of Karman equations. (Russian. English summary) Zbl 0659.35022 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 5, 22-25 (1988). MSC: 35G25 74K20 35A05 35B40 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 5, 22--25 (1988; Zbl 0659.35022)