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Chupakhin, Aleksandr Pavlovich

Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date: 22.08.1956
E-mail: ,

https://www.mathnet.ru/eng/person27583
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/358200
https://elibrary.ru/author_items.asp?authorid=6500

Publications in Math-Net.Ru Citations
2024
1. Yu. O. Kuyanova, A. K. Khe, K. S. Ovsyannikov, A. V. Dubovoi, A. P. Chupakhin, D. V. Parshin, “Uncertainty of boundary conditions and material model for pre-operative simulations: clinical case of rupture of a fusiform aneurysm of cerebral vessels”, Prikl. Mekh. Tekh. Fiz., 65:6 (2024),  125–146  mathnet  elib; J. Appl. Mech. Tech. Phys., 65:6 (2024), 1119–1139
2023
2. M. V. Neshchadim, A. A. Simonov, A. P. Chupakhin, “Representations of algebra $sl_2(\mathbb R)$ and ordinary differential equations”, Chelyab. Fiz.-Mat. Zh., 8:2 (2023),  173–189  mathnet
3. D. V. Parshin, R. A. Gaifutdinov, A. V. Koptyug, A. P. Chupakhin, “Mechanics of ski sliding on snow: Current status and prospects”, Prikl. Mekh. Tekh. Fiz., 64:4 (2023),  161–177  mathnet  elib; J. Appl. Mech. Tech. Phys., 64:4 (2023), 693–706 2
4. S. A. Vasyutkin, A. P. Chupakhin, “Curl equation in viscous hydrodynamics in a channel of complex geometry”, Sib. Zh. Ind. Mat., 26:4 (2023),  5–15  mathnet; J. Appl. Industr. Math., 17:4 (2023), 892–900
2022
5. A. I. Lipovka, A. A. Karpenko, A. P. Chupakhin, D. V. Parshin, “Strength properties of vessels of the abdominal aorta: experimental results and perspectives”, Prikl. Mekh. Tekh. Fiz., 63:2 (2022),  84–93  mathnet  elib; J. Appl. Mech. Tech. Phys., 63:2 (2022), 251–258 5
6. S. A. Vasyutkin, A. P. Chupakhin, “Constructing a minimal basis of invariants for differential algebra $(2\times2)$ matrix”, Sib. Zh. Ind. Mat., 25:2 (2022),  21–31  mathnet  mathscinet; J. Appl. Industr. Math., 16:2 (2022), 356–364
7. Yu. E. Anikonov, M. V. Neshchadim, A. P. Chupakhin, “Multidimensional Hopf equation and some exact solutions”, Sib. Zh. Ind. Mat., 25:1 (2022),  5–13  mathnet  mathscinet; J. Appl. Industr. Math., 16:1 (2022), 1–7
2021
8. S. A. Vasyutkin, A. P. Chupakhin, “Differentiation of Similar Matrices”, Mat. Zametki, 109:2 (2021),  302–306  mathnet  mathscinet  elib; Math. Notes, 109:2 (2021), 302–306  isi  scopus 1
9. M. V. Neshchadim, A. P. Chupakhin, “Method of commutators for integration of a matrix Riccati equation”, Sib. Zh. Ind. Mat., 24:1 (2021),  78–88  mathnet  elib; J. Appl. Industr. Math., 15:1 (2021), 78–86  scopus 2
2020
10. M. Yu. Mamatyukov, A. K. Khe, D. V. Parshin, A. P. Chupakhin, “Energy approach to the solution of the hydroelastic problem of the growth of a diverticulum of a fusiform aneurysm”, Prikl. Mekh. Tekh. Fiz., 61:5 (2020),  211–223  mathnet  elib; J. Appl. Mech. Tech. Phys., 61:5 (2020), 866–877 3
11. A. M. Sorokin, A. V. Boiko, A. P. Chupakhin, A. A. Cherevko, “Automated flow control system in a baseline test rig for studying pulsed fluid flows”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020),  108–113  mathnet  elib; J. Appl. Mech. Tech. Phys., 61:4 (2020), 593–598
12. M. V. Neshchadim, A. P. Chupakhin, “On integration of a matrix Riccati equation”, Sib. Zh. Ind. Mat., 23:4 (2020),  101–113  mathnet  elib; J. Appl. Industr. Math., 14:4 (2020), 732–742  scopus 3
2019
13. Yu. O. Kuyanova, S. S. Presnyakov, A. V. Dubovoi, A. P. Chupakhin, D. V. Parshin, “Numerical study of the hydrodynamics of the T-graft in the model problem of optimizing the angle of low-flow vascular anastomosis”, Prikl. Mekh. Tekh. Fiz., 60:6 (2019),  72–80  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:6 (2019), 1038–1045 9
14. M. Yu. Mamatyukov, A. K. Khe, D. V. Parshin, P. I. Plotnikov, A. P. Chupakhin, “On the energy of a hydroelastic system: blood flow in an artery with cerebral aneurysm”, Prikl. Mekh. Tekh. Fiz., 60:6 (2019),  3–16  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:6 (2019), 977–988 6
15. A. E. Darzhain, A. V. Boiko, V. M. Kulik, A. P. Chupakhin, “Analysis of stability of the boundary layer on a flat plate under a finite-thickness two-layer compliant coating”, Prikl. Mekh. Tekh. Fiz., 60:4 (2019),  35–46  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:4 (2019), 620–630 6
16. A. P. Chupakhin, A. A. Yanchenko, “Ovsyannikov vortex in relativistic hydrodynamics”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  5–18  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:2 (2019), 187–199 1
2018
17. A. M. Sorokin, A. V. Boiko, A. A. Tulupov, A. P. Chupakhin, “Basic test rig for studying oscillating fluid flows”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018),  211–215  mathnet  elib; J. Appl. Mech. Tech. Phys., 59:6 (2018), 1145–1149 1
18. D. V. Parshin, Yu. O. Kuyanova, D. S. Kislitsin, U. Windberger, A. P. Chupakhin, “On the impact of flow-diverters on the hemodynamics of human cerebral aneurysms”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018),  5–14  mathnet  elib; J. Appl. Mech. Tech. Phys., 59:6 (2018), 963–970 5
2017
19. A. K. Khe, A. A. Cherevko, A. P. Chupakhin, A. L. Krivoshapkin, K. Yu. Orlov, V. A. Panarin, “Monitoring of hemodynamics of brain vessels”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017),  7–16  mathnet  elib; J. Appl. Mech. Tech. Phys., 58:5 (2017), 763–770 9
20. A. V. Boiko, A. E. Akulov, A. P. Chupakhin, A. A. Cherevko, N. S. Denisenko, A. A. Savelov, Yu. A. Stankevich, A. K. Khe, A. A. Yanchenko, A. A. Tulupov, “Measurement of viscous flow velocity and its visualization using two magnetic resonances”, Prikl. Mekh. Tekh. Fiz., 58:2 (2017),  26–31  mathnet  elib; J. Appl. Mech. Tech. Phys., 58:2 (2017), 209–213 7
2015
21. V. V. Ostapenko, A. V. Speshilova, A. A. Cherevko, A. P. Chupakhin, “Numerical simulation of wave motions on a rotating attracting spherical zone”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  469–487  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:3 (2015), 470–486  isi  elib  scopus
2014
22. A. M. Barlukova, A. A. Cherevko, A. P. Chupakhin, “Traveling waves in a one-dimensional model of hemodynamics”, Prikl. Mekh. Tekh. Fiz., 55:6 (2014),  16–26  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:6 (2014), 917–926 2
23. D. V. Parshin, A. A. Cherevko, A. P. Chupakhin, “Steady vortex flows of a self-gravitating gas”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014),  159–167  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:2 (2014), 327–334 1
24. K. K. Izmailova, A. A. Cherevko, A. P. Chupakhin, “On a single class of vortex solutions of nonlinear Schrodinger equation”, Sib. Èlektron. Mat. Izv., 11 (2014),  929–950  mathnet
2012
25. A. M. Barlukova, A. P. Chupakhin, “Partially invariant solutions in gas dynamics and implicit equations”, Prikl. Mekh. Tekh. Fiz., 53:6 (2012),  11–24  mathnet  elib; J. Appl. Mech. Tech. Phys., 53:6 (2012), 812–824 1
26. A. A. Cherevko, A. P. Chupakhin, “On self-similar Ovsyannikov's vortex”, Trudy Mat. Inst. Steklova, 278 (2012),  276–287  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 267–278  isi  elib  scopus
2011
27. M. V. Neshchadim, A. P. Chupakhin, “About some solutions of the equation moving continuous medium with spacial thermodynamics”, Sib. Èlektron. Mat. Izv., 8 (2011),  317–332  mathnet 1
2010
28. Daniil V. Parshin, Alexander P. Chupakhin, “Stationary Ovsyannikov vortex in the field of large gravitating center”, J. Sib. Fed. Univ. Math. Phys., 3:2 (2010),  228–243  mathnet
29. Viktor K. Andreev, Alexander P. Chupakhin, “The motion of a binary mixture and viscous liquid in a circular pipe under the action of an unsteady pressure gradient”, J. Sib. Fed. Univ. Math. Phys., 3:2 (2010),  135–145  mathnet
30. N. Yu. Bosykh, A. P. Chupakhin, “One Partially Invariant Solution of Hydrodynamic Equations for the Atmosphere”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010),  26–35  mathnet; J. Math. Sci., 188:4 (2013), 344–353
31. A. V. Ivanova, V. V. Ostapenko, A. P. Chupakhin, “Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010),  30–45  mathnet 1
2009
32. A. A. Cherevko, A. P. Chupakhin, “Shallow water equations on a rotating attracting sphere. 2. Simple stationary waves and sound characteristics”, Prikl. Mekh. Tekh. Fiz., 50:3 (2009),  82–96  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:3 (2009), 428–440 3
33. A. P. Chupakhin, “Two-dimensional gas vortices and twisted gas jets”, Prikl. Mekh. Tekh. Fiz., 50:3 (2009),  71–81  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:3 (2009), 419–427
34. A. A. Cherevko, A. P. Chupakhin, “Equations of the shallow water model on a rotating attracting sphere. 1. Derivation and general properties”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009),  24–36  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:2 (2009), 188–198 5
35. N. V. Lyubashevskaya, A. P. Chupakhin, “Basis of differential invariants of symmetry group of Green–Naghdi equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2,  52–62  mathnet 2
2008
36. K. K. Izmaylova, A. P. Chupakhin, “Gas flow from the distributed source in a cross-section magnetic field”, Nelin. Dinam., 4:4 (2008),  443–466  mathnet
37. A. V. Ivanova, A. P. Chupakhin, “On damping source in model of the shallow water on rotating sphere”, Nelin. Dinam., 4:2 (2008),  133–144  mathnet
38. A. I. Golod, A. P. Chupakhin, “Invariant solution of dynamics of polytropic gas generated by three-dimensional algebras of symmetry”, Sib. Èlektron. Mat. Izv., 5 (2008),  229–250  mathnet  mathscinet 3
39. M. V. Neshchadim, A. P. Chupakhin, “Partial invariant solutions of the cubic Schrödinger equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  35–41  mathnet 2
2007
40. K. K. Izmailova, A. P. Chupakhin, “Group theoretical solutions of Schrödinger equation generated by three-dimensional symmetry algebras”, Nelin. Dinam., 3:3 (2007),  349–362  mathnet 4
41. M. A. Ignat'eva, A. P. Chupakhin, “Integration of the equations of gas dynamics for 2.5-dimensional solutions”, Sibirsk. Mat. Zh., 48:1 (2007),  103–115  mathnet  mathscinet  zmath; Siberian Math. J., 48:1 (2007), 84–94  isi  scopus 3
2006
42. D. V. Parshin, A. P. Chupakhin, “On a gas source in a constant force field”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006),  3–16  mathnet  elib; J. Appl. Mech. Tech. Phys., 47:6 (2006), 773–784
2005
43. Yu. Yu. Bagderina, A. P. Chupakhin, “Invariant and partially invariant solutions of the Green–Naghdi equations”, Prikl. Mekh. Tekh. Fiz., 46:6 (2005),  26–35  mathnet  elib; J. Appl. Mech. Tech. Phys., 46:6 (2005), 791–799 8
44. A. P. Chupakhin, Zh. A. Shakhmetova, “Three-dimensional analog of Prandtl–Meyer waves”, Prikl. Mekh. Tekh. Fiz., 46:5 (2005),  38–45  mathnet  elib; J. Appl. Mech. Tech. Phys., 46:5 (2005), 645–651
2004
45. A. A. Cherevko, A. P. Chupakhin, “Homogeneous singular vortex”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004),  75–89  mathnet  elib; J. Appl. Mech. Tech. Phys., 45:2 (2004), 209–221 8
2003
46. A. P. Chupakhin, “Self-conjugation of solutions via a shock wave: Limiting shock”, Prikl. Mekh. Tekh. Fiz., 44:3 (2003),  26–40  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:3 (2003), 324–335 4
2002
47. A. P. Chupakhin, “Hydrodynamics with quadratic pressure. 2. Examples”, Prikl. Mekh. Tekh. Fiz., 43:2 (2002),  22–28  mathnet  elib; J. Appl. Mech. Tech. Phys., 43:2 (2002), 190–195
48. A. P. Chupakhin, “Hydrodynamics with quadratic pressure. 1. General results”, Prikl. Mekh. Tekh. Fiz., 43:1 (2002),  27–35  mathnet  elib; J. Appl. Mech. Tech. Phys., 43:1 (2002), 22–28 2
1999
49. A. P. Chupakhin, “Regular submodels of types (1,2) and (1,1) of the equations of gas dynamics”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  40–49  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:2 (1999), 223–231 5
1997
50. A. P. Chupakhin, “On barochronic gas motions”, Dokl. Akad. Nauk, 352:5 (1997),  624–626  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1997), 101–104 4
1979
51. A. P. Chupakhin, “Nontrivial conformal groups in Riemannian spaces”, Dokl. Akad. Nauk SSSR, 246:5 (1979),  1056–1058  mathnet  mathscinet  zmath 2

Presentations in Math-Net.Ru
1. Течение жидкости в каналах сложной формы и с податливыми стенками
A. P. Chupakhin
International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii
March 24, 2023 11:00   
2. Complex modeling of hemodynamic problems
A. P. Chupakhin
Scientific seminar on the differential and functional differential equations
September 6, 2022 12:00   
3. Гемодинамика сосудов мозга и аорты
A. P. Chupakhin
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling"
June 27, 2022 17:40   
4. Ovsyannikov vortex: exact solution of classical and relativistic hydrodynamic equations
A. A. Cherevko, A. P. Chupakhin, A. A. Yanchenko
Dynamics in Siberia - 2019
February 27, 2019 09:30
5. Особый вихрь в релятивистской гидродинамике и неявные дифференциальные уравнения
A. P. Chupakhin
December readings in Tomsk
December 14, 2018 10:40   
6. The properties of Van der Pol–Duffing haemodynamics mathematical model for clinical applications
D. Parshin, A. Cherevko, A. Chupakhin
Dynamics in Siberia - 2018
February 26, 2018 16:00
7. Relativistic singular vortex and implicit differential equations
A. Yanchenko, A. Chupakhin
Dynamics in Siberia - 2018
February 26, 2018 15:30
8. Differential equation of the brain arterial hemodynamics state
A. P. Mikhailova, A. A. Cherevko, A. P. Chupakhin
International Conference on Mathematical Control Theory and Mechanics
July 6, 2015 16:50
9. Restoring of the network structure of the blood vessels of the brain according to the high field MRI
S. Maltseva, A. A. Cherevko, A. P. Chupakhin, A. Akulov
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 16:50
10. Building hemodynamic model on experimental clinical data
A. V. Mikhailova, A. A. Cherevko, A. P. Chupakhin, A. L. Krivoshapkin, K. Yu. Orlov
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 10:50
11. Многомерные нелинейные волны в газовой динамике
A. P. Chupakhin, A. A. Cherevko, D. V. Parshin
International conference "Contemporary Problems of Mechanics" dedicated to the 80th anniversary of academician A. G. Kulikovskii
March 19, 2013 14:00   

Organisations