МИХАЙЛОВ Александр Сергеевич

mihailovMikhaylov Alexander

Информация о Михайлове Александре Сергеевиче в Pure СПбГУ.  Расписание преподавателя: Михайлов Александр Сергеевич

Курсы, читаемые в 2022-2023 учебном году:

Осень: Физика (математики, 4 курс); 
Математические вопросы гидродинамики  (5 курс);
Весна: Физика (математики, 4 курс).


Образование:

  • 1995-2000 СПбГУ, математико-механический факультет, кафедра мат. физики.
  • 2000-2003 аспирантура СПбГУ, математико-механический факультет, кафедра мат. физики.

Работа:

  • 2006- доцент (0.5 ст.) кафедры математической физики математико-механического факультета СПбГУ, научный сотрудник Петербургского отделения института математики им. В.А. Стеклова.
  • 2003-2006 ассистент преподавателя/старший преподаватель/доцент кафедры математической физики математико-механического факультета СПбГУ.

Опубликованные статьи :

  1. Mikhailov A.S., Mikhailov V.S., “Phase Transition in Multiphase Media”,   Journal of Mathematical Sciences, Vol. 102, N 5, 2000, p. 4436-4473.
  2. Mikhailov A.S., Mikhailov V.S “Remark on Covering Theorem”, Problems in  Mathematical Analysis, N 24, 2002, p. 147-155.
  3. Mikhailov A.S., “Phase Transitions in Multi-Phase Media with Regard to the Surface Energy of the Interface of Phases by Means of the Integral of Higher-Order Derivatives of the Replacement Field”,   Journal of Mathematical Sciences, Vol. 106, N 3, 2001, p. 2975-2989.
  4. Mikhailov A.S., “Dependence of Equilibrium States on Parameters of the Phase Transition Problem under Implicit Accounting of Energy of the Boundary of the Interface of the Phases”, Journal of Mathematical Sciences, Vol. 122, N 3, 2004, p. 3251-3265
  5. Mikhailov A.S. “Determination of the Surface Tension Coefficient in Mechanics of  Two-Phase Elastic Media under the Assumption of Incompressibility or Inflexibility of One Phase”, Vestnik of SPb University. Серия 1. Математика. Механика. Астрономия .— 2006.— Vol. 1, no. 3.— P. 24-35.
  6. A.S. Mikhailov, T.N. Shilkin. "$L^{3,\infty}$ Solutions to the Navier-Stokes Equations near the Boundary // Записки научных семинаров ПОМИ .— 2006.— Vol. 336 .— P. 133-152
  7. A.S. Mikhaylov. Local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary // Записки научных семинаров ПОМИ .— 2009.— том 370.— Стр. 73-93.
  8. A.S. Mikhaylov. On local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary // Записки научных семинаров ПОМИ .— 2010.— Vol. 385.— P. 83-97.
  9. A.S. Mikhaylov, S.I. Repin. Estimates of deviations from exact Solution of the Stokes problem in the vorticity-velocity-pressure formulation // Записки научных семинаров ПОМИ .— 2011.— том 397.— Стр. 73-88.
  10. A.S.Mikhaylov, V.S.Mikhaylov. Equations of the Boundary Control Method for the inverse source problem // Записки научных семинаров ПОМИ .— 2012.— том 409.
  11. Avdonin S.A., Mikhaylov A.S., Mikhaylov V.S.. On some applications of the Boundary Control method to spectral estimation and inverse problems // Nanosystems: Physics, Chemistry, Mathematics.— 2015.— Vol. 6, no. 1.— P. 63-78.
  12. A.S.Mikhaylov, V. S.Mikhaylov. On recovery of inverse spectral data from inverse dynamical data by means of Boundary Control method // Proceedings Annual IEEE Conference Days on Diffraction..— 2015.— .— Стр. 212-216.
  13. A.S. Mikhaylov, V. S. Mikhaylov . Connection of the different types of inverse data for the one-dimensional Schrodinger operator on the half-line // Записки научных семинаров ПОМИ .— 2016.— том 451.— Стр. 134-155.
  14. A. S. Mikhaylov, V. S. Mikhaylov. Dynamical inverse problem for the discrete Schrodinger operator // Nanosystems: Physics, Chemistry, Mathematics.— 2016.— Vol. 7, no. 5.— P. 842-853.
  15. A.S. Mikhaylov, V.S. Mikhaylov. Quantum and acoustic scattering on $\mathbb{R}_+$ and a representation of the scattering matrix // Proceedings Annual IEEE Conference Days on Diffraction.— 2017.— .— P. 237-240.
  16. A.S. Mikhaylov, V.S. Mikhaylov. On a inverse dynamic problem for the wave equation with a potential on a real line // Записки научных семинаров ПОМИ .— 2017.— том 461.—
  17. A.S. Mikhaylov, V.S. Mikhaylov. Boundary Control method and de Branges spaces. Schrodinger equation, Dirac system and Discrete Schrodinger operator // Journal of Mathematical Analysis and Applications .— 2017.— .
  18. A.Mikhaylov, J.Renclawowicz, W.Zajaczkowski. On global regular solutions to the mhd equations in a smooth toroidal domain // Applicationes Mathematicae.— 2017.— Vol. 44.— P. 163-183.
  19. A.S.Mikhaylov, V.S.Mikhaylov. Inverse dynamic problems for canonical systems and de Branges spaces // NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS.— 2018.— Vol. 9, no. 2.— P. 215-224.
  20. A.S.Mikhaylov, V.S.Mikhaylov, Gulden Murzabekova . Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree // Journal of Inverse and Ill-posed Problems .— 2018.— .
  21. A.S.Mikhaylov, V.S.Mikhaylov, S.A. Simonov. On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time // Mathematical Methods in the Applied Sciences .— 2018.— том 41, номер 16.— Стр. 6401-6408.
  22. A.S. Mikhaylov, V.S. Mikhaylov. Dynamic inverse problem for Jacobi matrices // Inverse Problems and Imaging.— 2019.— .—
  23. M.I. Belishev, D. Langemann, A.S. Mikhaylov, V.S. Mikhaylov. On an inverse problem in photoacoustic // Journal of Inverse and Ill-posed Problems .— 2018.— .— 
  24. A.S. Mikhaylov, V.S. Mikhaylov. Inverse dynamic problem for a canonical system with smooth positive Hamiltonian. Inverse theory, relationship with the De Branges theory // Proceedings Annual IEEE Conference Days on Diffraction.— 2018.— .— Стр. 214-219.
  25. D. Langemann, A.S. Mikhaylov, V.S. Mikhaylov. One dimensional inverse problem in photoacoustic. Numerical testing. // Записки научных семинаров ПОМИ .— 2018.— том 471.— Стр. 140-149.
  26. A.S.Mikhaylov, V.S.Mikhaylov. Inverse dynamic problem for the wave equation with periodic boundary conditions // Nanosystems: Physics, Chemistry, Mathematics.— 2019.— Vol. 10, no. 2.—
  27. A.S. Mikhaylov, V.S. Mikhaylov. Dynamic inverse problem for Jacobi matrices // Inverse Problems and Imaging.— 2019.— Vol. 13, no. 3.— P. 431-447.
  28. A.S.Mikhaylov, V.S.Mikhaylov. Inverse dynamic problem for a Krein-Stieltjes string // Applied Mathematics Letters.— 2019.— Vol. 96.— P. 195-201
  29. A.S. Mikhaylov, V.S. Mikhaylov. Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. // IEEE Conference Proceedings: Days on Diffraction. P.125-130 — 2019
  30. A.S. Mikhaylov, V.S. Mikhaylov. Inverse problem for dynamical system associated with Jacobi matrices and classical moment problems // Journal of Mathematical Analysis and Applications .— 2020.— Vol. 487, no. 1.— P. 1-27
  31. A.S. Mikhaylov, V.S. Mikhaylov. Finite Toda lattice and classical moment problem // Nanosystems: Physics, Chemistry, Mathematics.— 2020.— Vol. 11, no. 1.— P. 25-29
  32. А.С.Михайлов, В.С.Михайлов, А.Э. Чоке-Риверо. Динамическая обратная задача для одномерной системы с памятью // Записки научных семинаров ПОМИ .— 2020.— том 493.— Стр. 259-269.
  33. A.S. Mikhaylov, V.S. Mikhaylov. Solution of Toda lattices for semi-bounded initial data // IEEE Conference Proceedings: Days on Diffraction.— 2020.— .— P. 85-89.
  34. S.A.Avdonin, A.S.Mikhaylov, V.S.Mikhaylov, J.Park. Inverse Problem for the Schrödinger Equation with Non-self-adjoint Matrix Potential // Inverse Problems.— 2020.
  35. A.S. Mikhaylov, V.S. Mikhaylov. Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings // Journal of Inverse and Ill-posed Problems .— 2021.