Positions

Research Areas research areas

Selected Publications

Academic Article

Year Title
2023 Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedbackStudies in Applied Mathematics.  150:996-1025. 2023
2023 Analytical study of a model of fluid flow through a channel with flexible wallsMathematical Methods in the Applied Sciences.  46:6875-6909. 2023
2021 Stability of Fluid Flow through a Channel with Flexible WallsInternational Journal of Mathematics and Mathematical Sciences.  2021:1-12. 2021
2019 Location of eigenmodes of Euler-Bernoulli beam model under fully non-dissipative boundary conditions.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  475:20190544. 2019
2018 Asymptotic and Spectral Analysis of a Model of the Piezoelectric Energy Harvester with the Timoshenko Beam as a SubstructureApplied Sciences.  8:1434-1434. 2018
2018 Asymptotic and spectral analysis of a model of the piezoelectric energy harvester with the Timoshenko beam as a substructureAPPLIED SCIENCES, 2018, 8, 1434; doi:10.3390..  18:1434-1434. 2018
2018 Spectral analysis of the Euler-Bernoulli beam model with fully nonconservative feedback matrixMathematical Methods in the Applied Sciences.  41:4691-4713. 2018
2017 Aerodynamic performance of ultra long range projectilesMATHEMATICS IN ENGINEERING, SCIENCE, AND AEROSPACE.  8:3-27. 2017
2017 Spectral analysis of a non-selfadjoint operator generated by an energy harvesting model and application to an exact controllability problemAsymptotic Analysis.  104:119-156. 2017
2016 Asymptotic and spectral analysis and control problems for mathematical model of piezoelectric energy harvester, (jointly with V. Shubov),MATHEMATICS IN ENGINEERING, SCIENCE, AND AEROSPACE , 7, (2), 2016, p.249-268..  7:249-268. 2016
2016 Stability of a flexible structure with destabilizing boundary conditionsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  472:20160109-20160109. 2016
2016 Asymptotic Representation for the Eigenvalues of a Non-selfadjoint Operator Governing the Dynamics of an Energy Harvesting ModelApplied Mathematics and Optimization.  73:545-569. 2016
2016 Stability of a flexible structure with destabilizing boundary conditions,” (jointly with V. Shubov),Proceedings of the Royal Society, A, 472, 2016, DOI: 10.1098/rspa.2016.0109..  472. 2016
2014 On fluttering modes for aircraft wing model in subsonic air flow.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  470:20140582. 2014
2014 On the completeness of root vectors generated by systems of coupled hyperbolic equationsMathematische Nachrichten.  287:1497-1523. 2014
2014 Spectral asymptotics, instability and Riesz basis property of root vectors for Rayleigh beam model with non-dissipative boundary conditionsAsymptotic Analysis.  87:147-190. 2014
2012 Spectrum rearrangement via feedback control for nonhomogeneous damped stringIMA Journal of Mathematical Control and Information.  29:33-62. 2012
2011 Sampling theorem for bandlimited Hardy space functions generated by Regge problemApplied and Computational Harmonic Analysis.  31:125-142. 2011
2011 On the completeness of root vectors of a certain class of differential operatorsMathematische Nachrichten.  284:1118-1147. 2011
2011 Four-branch vibrational spectrum of double-walled carbon nanotube modelProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  467:99-126. 2011
2010 Vibrational frequency distribution for nonconservative model of double-walled carbon nanotubeApplied Mathematics and Computation.  217:1246-1252. 2010
2010 Mathematical analysis of carbon nanotube modelJournal of Computational and Applied Mathematics.  234:1631-1636. 2010
2010 Asymptotical distribution of eigenvalues of dynamics generator governing vibrations of double-walled carbon nanotube modelAsymptotic Analysis.  68:89-123. 2010
2010 Numerical Investigation of Aeroelastic Mode Distribution for Aircraft Wing Model in Subsonic Air FlowMathematical Problems in Engineering.  2010:1-23. 2010
2010 SOLVABILITY OF REDUCED POSSIO INTEGRAL EQUATION IN THEORETICAL AEROELASTICITYAdvances in Differential Equations.  15:801-828. 2010
2009 Asymptotical form of Possio integral equation in theoretical aeroelasticityAsymptotic Analysis.  64:213-238. 2009
2008 Double-wall nanotube as vibrational system: Mathematical approachMathematical Methods in the Applied Sciences.  31:1887-1904. 2008
2008 Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition methodIMA Journal of Mathematical Control and Information.  25:185-204. 2008
2008 Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical AeroelasticityJournal of Applied Mathematics.  2008:1-27. 2008
2006 Generation of Gevrey class semigroup by non-selfadjoint Euler-Bernoulli beam modelMathematical Methods in the Applied Sciences.  29:2181-2199. 2006
2006 Exact controllability of damped coupled Euler-Bernoulli and Timoshenko beam modelIMA Journal of Mathematical Control and Information.  23:279-300. 2006
2006 Riesz basis property of mode shapes for aircraft wing model (subsonic case)Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  462:607-646. 2006
2006 Flutter phenomenon in aeroelasticity and its mathematical analysisJournal of Aerospace Engineering.  19:1-12. 2006
2005 Spectral operators generated by bending-torsion vibration model with two-end energy dissipationAsymptotic Analysis.  45:133-169. 2005
2005 Asymptotic distribution of eigenvalues for damped string equation: Numerical approachJournal of Aerospace Engineering.  18:69-83. 2005
2004 Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flowProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  460:1057-1091. 2004
2004 Mathematical modeling and analysis of flutter in bending-torsion coupled beams, rotating blades, and hard disk drivesJournal of Aerospace Engineering.  17:56-69. 2004
2004 Mathematical modeling and analysis of flutter on long-span suspension bridges and in blood vessel wallsJournal of Aerospace Engineering.  17:70-82. 2004
2004 Asymptotic and spectral properties of operator-valued functions generated by aircraft wing modelMathematical Methods in the Applied Sciences.  27:329-362. 2004
2004 Asymptotic analysis of nonselfadjoint operators generated by coupled Euler-Bernoulli and Timoshenko beam modelMathematische Nachrichten.  267:88-109. 2004
2004 Spectral analysis of coupled Euler-Bernoulli and Timoshenko beam modelJournal of Applied Mathematics and Mechanics (ZAMM).  84:291-313. 2004
2003 Asymptotic and spectral analysis of non-selfadjoint operators generated by a filament model with a critical value of a boundary parameterMathematical Methods in the Applied Sciences.  26:213-245. 2003
2002 Asymptotic and spectral analysis of the spatially nonhomogeneous Timoshenko beam modelMathematische Nachrichten.  241:125-162. 2002
2001 Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end loadMathematical Methods in the Applied Sciences.  24:1139-1167. 2001
2001 Asymptotic representations for root vectors of nonselfadjoint operators and pencils generated by an aircraft wing model in subsonic air flowJournal of Mathematical Analysis and Applications.  260:341-366. 2001
2001 Asymptotic analysis of aircraft wing model in subsonic air flowIMA Journal of Applied Mathematics.  66:319-356. 2001
2001 Asymptotics of aeroelastic modes and basis property of mode shapes for aircraft wing modelJournal of the Franklin Institute.  338:171-185. 2001
2000 Riesz basis property of root vectors of non-self-adjoint operators generated by aircraft wing model in subsonic airflowMathematical Methods in the Applied Sciences.  23:1585-1615. 2000
2000 Transformation operators for class of damped hyperbolic equationsAsymptotic Analysis.  24:183-208. 2000
1999 Spectral operators generated by Timoshenko beam modelSystems and Control Letters.  38:249-258. 1999
1999 Boundary and distributed controllability of the damped wave equation: Reduction of control timeJournal of Mathematical Analysis and Applications.  240:16-36. 1999
1998 Exact boundary and distributed controllability of radial damped wave equationJournal de Mathematiques Pures et Appliquees.  77:415-437. 1998
1998 Asymptotics of spectrum and eigenfunctions for nonselfadjoint operators generated by radial nonhomogeneous damped wave equationsAsymptotic Analysis.  16:245-272. 1998
1998 On controllability of an elastic string with a viscous dampingNumerical Functional Analysis and Optimization.  19:227-255. 1998
1997 Nonselfadjoint operators generated by the equation of a nonhomogeneous damped stringTransactions of the American Mathematical Society.  349:4481-4499. 1997
1997 Exact controllability of the damped wave equationSIAM Journal on Control and Optimization.  35:1773-1789. 1997
1997 Spectral operators generated by damped hyperbolic equationsIntegral Equations and Operator Theory.  28:358-372. 1997
1996 Asymptotics of resonances and eigenvalues for nonhomogeneous damped stringAsymptotic Analysis.  13:31-78. 1996
1996 Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped stringIntegral Equations and Operator Theory.  25:289-328. 1996
1995 STARK QUANTUM-DEFECT FOR HIGH RYDBERG STATES OF 3-DIMENSIONAL SCHRODINGER OPERATOR WITH SCREENED COULOMB POTENTIALIl Nuovo Cimento B Series 10.  110:1057-1092. 1995
1994 LOW-ENERGY CHAIN OF RESONANCES FOR 3-DIMENSIONAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIALJournal of Differential Equations.  114:168-198. 1994
1994 HIGH-ENERGY ASYMPTOTICS OF RESONANCES FOR 3-DIMENSIONAL SCHRODINGER OPERATOR WITH SCREENED COULOMB POTENTIALJournal of Mathematical Physics.  35:656-674. 1994
1994 RESONANCE SELECTION PRINCIPLE AND LOW-ENERGY RESONANCES FOR A RADIAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIALJournal of Mathematical Analysis and Applications.  181:600-625. 1994
1991 ASYMPTOTICS OF THE DISCRETE SPECTRUM FOR A RADIAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIALIntegral Equations and Operator Theory.  14:586-608. 1991
1990 CERTAIN CLASS OF UNCONDITIONAL BASES IN HILBERT-SPACE AND ITS APPLICATIONS TO FUNCTIONAL-MODEL AND SCATTERING-THEORYIntegral Equations and Operator Theory.  13:750-770. 1990
Asymptotic and spectral analysis of a model of the piezoelectric energy harvester with the Timoshenko beam as a substructure Applied Sciences, 2018, 8, 1434; doi:10.3390.APPLIED SCIENCES, 2018, 8, 1434; doi:10.3390..  8:1434-1434.

Chapter

Year Title
2011 A numerical study of the vibration spectrum for a doubled-walled carbon nanotube model 2011
2011 A Numerical Study of the Vibration Spectrum for a Double-Walled Carbon Nanotube Model.  369-390. 2011

Conference Paper

Year Title
2005 Bending-torsion vibration model with two-end energy dissipationApplied Mathematics and Computation. 351-372. 2005
2005 Operator-valued analytic functions generated by aircraft wing model (subsonic case)CONTROL THEORY OF PARTIAL DIFFERENTIAL EQUATIONS. 243-257. 2005
2004 Mathematical analysis of vibrations of nonhomogeneous filament with one end loadDYNAMICAL SYSTEMS AND CONTROL. 33-51. 2004
2001 Asymptotic analysis of aircraft wing model in subsonic airflowSHAPE OPTIMIZATION AND OPTIMAL DESIGN. 397-414. 2001
2000 Nonhomogeneous damped string: Riesz basis property of root vectors via transformation operators methodSEMIGROUPS OF OPERATORS: THEORY AND APPLICATIONS. 287-295. 2000
1998 Spectral operators generated by 3-dimensional damped wave equation and applications to control theorySPECTRAL AND SCATTERING THEORY. 177-188. 1998
1997 Nonselfadjoint operators and controllability of damped stringProceedings of the IEEE Conference on Decision and Control. 515-520. 1997

Teaching Activities

  • Complex Analysis for Applictns Taught course
  • Doctoral Research Taught course
  • Doctoral Research Taught course
  • Foundations of Applied Math Taught course
  • Complex Analysis for Applictns Taught course 2024
  • Foundations of Applied Math Taught course 2024
  • Doctoral Research Taught course 2023
  • Complex Analysis for Applictns Taught course 2022
  • Doctoral Research Taught course 2022
  • Foundations of Applied Math Taught course 2022
  • Doctoral Research Taught course 2022
  • Graduate Partial Diff Eqns Taught course 2022
  • Senior Seminar Taught course 2022
  • Foundations of Applied Math Taught course 2021
  • Senior Seminar Taught course 2021
  • Graduate Partial Diff Eqns Taught course 2021
  • Senior Seminar Taught course 2021
  • Complex Analysis for Applictns Taught course 2020
  • Foundations of Applied Math Taught course 2020
  • Graduate Partial Diff Eqns Taught course 2020
  • Independent Study Taught course 2020
  • Senior Seminar Taught course 2020
  • Foundations of Applied Math Taught course 2019
  • Senior Seminar Taught course 2019
  • Foundations of Applied Math Taught course 2019
  • Graduate Partial Diff Eqns Taught course 2019
  • Complex Analysis for Applictns Taught course 2018
  • Foundations of Applied Math Taught course 2018
  • Graduate Partial Diff Eqns Taught course 2017
  • Senior Seminar Taught course 2017
  • Complex Analysis for Applictns Taught course 2016
  • Foundations of Applied Math Taught course 2016
  • Complex Analysis Taught course 2016
  • Graduate Partial Diff Eqns Taught course 2016
  • Honors Seminar Taught course 2016
  • Foundations of Applied Math Taught course 2015
  • Linear Algebra for Application Taught course 2015
  • Foundations of Applied Math Taught course 2015
  • Graduate Partial Diff Eqns Taught course 2015
  • Complex Analysis for Applictns Taught course 2014
  • Foundations of Applied Math Taught course 2014
  • Graduate Partial Diff Eqns Taught course 2014
  • Education And Training

  • M.S. Theoretical&Math.L Physics, Saint Petersburg State University
  • Ph.D. Theoretical&Math.L Physics, Saint Petersburg State University
  • Full Name

  • Marianna Shubov