Positions

Research Areas research areas

Publications

Academic Article

Year Title
2018 Asymptotic and Spectral Analysis of a Model of the Piezoelectric Energy Harvester with the Timoshenko Beam as a SubstructureApplied Sciences (Switzerland).  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.  102:119-156. 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 IMA Journal of Mathemathics Applied in Medicine and Biology.  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 IMA Journal of Mathemathics Applied in Medicine and Biology.  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 IMA Journal of Mathemathics Applied in Medicine and Biology.  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 modelZAMM Zeitschrift fur Angewandte Mathematik und Mechanik.  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 des 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 SIAM J Control.  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 Proceeding

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

  • 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