Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
V. G. Zvyagin, V. P. Orlov, “On weak solvability of fractional models of viscoelastic high order fluid”, Izv. Math., 88:1 (2024), 54–76 |
2. |
A. V. Zvyagin, V. G. Zvyagin, V. P. Orlov, “Some properties of trajectories of a nonhomogeneous velocity field of a viscoelastic fluid in a multiconnected domain”, Math. Notes, 116:4 (2024), 853–857 (to appear) |
3. |
. V. G. Zvyagin, A. V. Zvyagin, V. P. Orlov and M. V. Turbin, “On the Weak Solvability of High-order Viscoelastic Fluid Dynamics Model”, Lobachevskii Journal of Mathematics, 45:4 (2024), 1524-1543 |
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2023 |
4. |
V. G. Zvyagin, V. P. Orlov, “The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory”, Funct. Anal. Appl., 57:1 (2023), 74–79 |
5. |
V. G. Zvyagin, V. P. Orlov, “The problem of the flow of one type of non-Newtonian fluid through the boundary of a multi-connected domain”, Dokl. Math., 107:2 (2023), 112–116 |
6. |
V. G. Zvyagin, V. P. Orlov, “On weak solvability of a flow problem for viscoelastic fluid with memory”, Comput. Math. Math. Phys., 63:11 (2023), 2090–2106 |
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2022 |
7. |
V. G. Zvyagin, V. P. Orlov, “Weak solvability of motion models for a viscoelastic fluid with a higher-order rheological relation”, Russian Math. Surveys, 77:4 (2022), 753–755 |
8. |
V. G. Zvyagin, V. P. Orlov, M. V. Turbin, “Solvability of the initial-boundary value problem for the high-order Oldroyd model”, Russian Math. (Iz. VUZ), 66:7 (2022), 70–75 |
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2021 |
9. |
V. G. Zvyagin, V. P. Orlov, “On a apriori estimates of weak solutions of one nongomogeneous problem of dynamics of viscoelastic medium with memory”, Russian Math. (Iz. VUZ), 65:5 (2021), 30–39 |
10. |
V. G. Zvyagin, V. P. Orlov, “Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory”, Russian Math. (Iz. VUZ), 65:6 (2021), 84–89 |
11. |
“V. G. Zvyagin, V. P. Orlov”, “Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory”, Journal of Mathematical Fluid Mechanics, 23:9 (2021) |
12. |
V. G. Zvyagin, V. P. Orlov, “On strong solutions of fractional nonlinear viscoelastic model of Voigt type”, Mathematical Methods in the Applied Sciences, 44:15 (2021), 11768-11782
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1
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2020 |
13. |
V. G. Zvyagin, V. P. Orlov, A. S. Arsentyev, “Equivalence of weak solvability of initial-boundary value problems for the Jeffreys–Oldroyd and one integro-differential system with memory”, Russian Math. (Iz. VUZ), 64:6 (2020), 69–74 |
14. |
V. G. Zvyagin, V. P. Orlov, “On regularity of weak solutions to a generalized Voigt model of viscoelasticity”, Comput. Math. Math. Phys., 60:11 (2020), 1872–1888 |
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2019 |
15. |
V. G. Zvyagin, V. P. Orlov, “On strong solutions of a fractional nonlinear viscoelastic Voigt-type model”, Russian Math. (Iz. VUZ), 63:12 (2019), 96–100 |
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2018 |
16. |
V. G. Zvyagin, V. P. Orlov, “On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives”, Siberian Math. J., 59:6 (2018), 1073–1089 |
17. |
V. G. Zvyagin, V. P. Orlov,, “Solvability of one non-Newtonian fluid dynamics model with memory”, Nonlinear Analysis:TMA, 172 (2018), 7398
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20
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18. |
V. G. Zvyagin, V. P. Orlov, “Weak solvability of fractional voigt model of viscoelasticity”, Discrete and Continuous Dynamical Systems- Series A, 38 (2018), 63276350
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25
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19. |
V. G. Zvyagin, V. P. Orlov, “On one problem of viscoelastic fluid dynamics with memory on an infinite time interval”, Discrete and Continuous Dynamical Systems - Series B, 23:9 (2018), 38553877
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10
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20. |
V. G. Zvyagin, V. P. Orlov, “O slaboi razreshimosti odnoi drobnoi modeli vyazkouprugosti”, Doklady Akademii Nauk, 483:2 (2018), 134137
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1
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2017 |
21. |
V. P. Orlov, D. A. Rode, M. A. Pliev, “Weak solvability of the generalized Voigt viscoelasticity model”, Siberian Math. J., 58:5 (2017), 859–874 |
22. |
V. G. Zvyagin, V. P. Orlov,, “Solvability of a parabolic problem with non-smooth data”, Journal of Mathematical Analysis and Applications, 453:1 (2017), 589606
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7
[x]
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23. |
V. G. Zvyagin, V. P. Orlov, “O slaboi razreshimosti drobnoi modeli vyazkouprugosti Foigta”, Doklady Akademii Nauk, 476:5 (2017), 492494 |
24. |
V. G. Zvyagin, V. P. Orlov, “O zadache dinamiki vyazkouprugoi sredy s pamyatyu na beskonechnom intervale”, Doklady Akademii Nauk, 475:2 (2017), 130132 |
25. |
Zvyagin V. G., Orlov V. P., “On the weak solvability of the problem of viscoelasticity with memory”, Differential Equations, 53:2 (2017), 212-217 |
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2016 |
26. |
V. G. Zvyagin, V. P. Orlov, “On the Parabolic Problem of Motion of Thermoviscoelastic Media”, Math. Notes, 99:3 (2016), 465–469 |
27. |
V. G. Zvyagin, V. P. Orlov, “On a model of thermoviscoelasticity of Jeffreys–Oldroyd type”, Comput. Math. Math. Phys., 56:10 (2016), 1803–1812 |
28. |
V. G. Zvyagin, V. P. Orlov, “Weak solvability of irregularized model of viscoelastisity with memory”, AIP Conference Proceedings, 1759, 020040 (2016), 7 pp. |
29. |
V. G. Zvyagin, V. P. Orlov, “On a Weak Solvability of a System of Thermoviscoelasticity of Oldroyds Type”, Differential and Difference Equations with Applications, Selected Contributions (ICDDEA, Amadora, Portugal, May 1822, 2015,), Springer Proceedings in Mathematics & Statistics, 164, Springer International Publishing Switzerland 2016, 2016, 401–410 DOI 10.1007/978-3-319-32857-7 |
30. |
Vladimir Orlov, Marat Pliev, Dmitry Rode, “Domination problem for AM-compact abstract Uryson operators”, Archiv der Mathematik, 107 (2016), 543-552
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2015 |
31. |
A. V. Zvyagin, V. P. Orlov, “Solvability of the Thermoviscoelasticity Problem for Linearly Elastically Retarded Voigt Fluid”, Math. Notes, 97:5 (2015), 694–708 |
32. |
V. P. Orlov, M. I. Parshin, “On a problem in the dynamics of a thermoviscoelastic medium with memory”, Comput. Math. Math. Phys., 55:4 (2015), 650–665 |
33. |
V. G. Zvyagin, V. P. Orlov, “On the weak solvability of one system of thermoviscoelasticity”, AIP Conference Proceedings, 1676, 020011 (2015), 6 pp. |
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2014 |
34. |
A. V. Zvyagin, V. P. Orlov, “Solvability of thermoviscoelastic problem for one Oskolkov's model”, Russian Math. (Iz. VUZ), 58:9 (2014), 57–61 |
35. |
V. P. Orlov, M. I. Parshin, “On one problem of dynamics of thermoviscoelastic medium of Oldroid type”, Russian Math. (Iz. VUZ), 58:5 (2014), 57–62 |
36. |
V. P. Orlov, M. I. Parshin, “On the Strong Solutions in an Oldroyd-Type Model of Thermoviscoelasticity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 69–76 |
37. |
V, P. Orlov, M. I. Parshin, V. G Zvyagin“, On strong solutions for a Navier-Stokes-Fourier-Oldroid system”, Contemporary Analysis and Applied Mathematics, 2:2 (2014), 277–289 |
38. |
V. G. Zvyagin, V. P. Orlov, “On certain mathematical models in continuum thermomechanics”, J. Fixed Point Theory and Appl., 15:1 (2014), 3-47 https://doi.org/10.1007/s11784-014-0179-y |
39. |
V. G. Zvyagin, V. P. Orlov, “On certain mathematical models in continuum thermomechanics”, J. Fixed Point Theory Appl., 15:1 (2014), 3-47 (to appear) https://doi.org/10.1007/s11784-014-0179-y |
40. |
A. D. Baev, S. G. Valyukhov, V. I. Ovchinnikov, V. P. Orlov, Yu. I. Sapronov, G. A. Sviridyuk, “Vladimir Alekseevich Kostin (to the 75th anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 135–140 |
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2013 |
41. |
V. G. Zvyagin, V. P. Orlov, “Weak solvability of a system of thermoviscoelasticity for Jeffris model”, Russian Math. (Iz. VUZ), 57:9 (2013), 53–57 |
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2012 |
42. |
V. P. Orlov, “A non-homogeneous regularized problem of dynamics of viscoelastic continuous medium”, Russian Math. (Iz. VUZ), 56:8 (2012), 48–53 |
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2010 |
43. |
V. P. Orlov, “Strong solution of certain thermoviscoelastic system”, Russian Math. (Iz. VUZ), 54:8 (2010), 41–47 |
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2008 |
44. |
V. P. Orlov, “On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium”, Math. Notes, 84:2 (2008), 224–238 |
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2006 |
45. |
V. P. Orlov, “The motion of a viscoelastic medium with a free boundary”, Russian Math. (Iz. VUZ), 50:10 (2006), 40–46 |
46. |
V. P. Orlov, “Ob odnoi zadache dinamiki vyazkouprugoi sredy so svobodnoi granitsei”, Nelineinye granichnye zadachi, 16 (2006), 193–201 . |
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2005 |
47. |
V. G. Zvyagin, V. P. Orlov, “On weak solutions of the equations of motion of a viscoelastic medium with variable boundary”, Boundary Value Problems, 3 (2005), 215245 |
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2003 |
48. |
V. P. Orlov, “Weakly Degenerate Hyperbolic Equations”, Differ. Equ., 39:10 (2003), 1485–1496 |
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2002 |
49. |
V. P. Orlov, “On dynamics of viscoelastic multidimensional medium with variable boundary”, Abstr. Appl. Anal., 7:9 (2002), 475–495 DOI: 10.1155/S1085337502203097 |
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2000 |
50. |
V. P. Orlov, “On one problem of thermoelasticity”, Mathematical Sciences and Applications, 13 (2000), 238-250 |
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1999 |
51. |
V. P. Orlov, “On the Oldroid Model of a Viscoelastic Fluid”, Funct. Anal. Appl., 33:1 (1999), 72–75 |
52. |
V. P. Orlov, “On an abstract integrodifferential problem”, Math. Notes, 66:6 (1999), 733–740 |
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1997 |
53. |
V. P. Orlov, “Coercive solvability of weakly degenerate differential equations with an unbounded operator coefficient”, Russian Math. (Iz. VUZ), 41:3 (1997), 43–50 |
54. |
V. P. Orlov, “Weakly degenerate differential equations with an unbounded operator coefficient”, Russian Math. (Iz. VUZ), 41:1 (1997), 32–39 |
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1996 |
55. |
V. P. Orlov, “On a problem in thermoelasticity”, Dokl. Akad. Nauk, 346:1 (1996), 19–20 |
56. |
V. P. Orlov, “Nonlocal solvability of a one-dimensional mathematical model of viscoelasticity”, Comput. Math. Math. Phys., 36:5 (1996), 649–658 |
57. |
V. P. Orlov, “Stability of zero solution of mathematical model of multidimensional barotropic viscoelastic medium”, Nonlinear Analysis:TMA, 26:12 (1996), 1937–1950 |
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1995 |
58. |
V. P. Orlov, “Investigation of a mathematical model of thermoviscoelasticity”, Dokl. Akad. Nauk, 343:3 (1995), 320–322 |
59. |
V. P. Orlov, “Local solvability of a coupled problem in thermoviscoelasticity”, Differ. Equ., 31:10 (1995), 1712–1720 |
60. |
V. P. Orlov, “On the stability of the zero solution of a mathematical model of a viscoelastic fluid”, Russian Math. (Iz. VUZ), 39:3 (1995), 79–81 |
61. |
V. P. Orlov, “Ustoichivost nulevogo resheniya matematicheskoi modeli mnogomernoi vyazkouprugoi sredy”, Doklady NAN Ukrainy, 12 (1995), 15–17 |
62. |
Orlov V. P.,, “Issledovanie matematicheskikh modelei termovyazkouprugosti”, UMN, 50:4 (1995), 114 |
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1993 |
63. |
V. P. Orlov, “Ustoichivost nulevogo resheniya odnomernoi matematicheskoi modeli termouprugosti”, Ukrainskii mat. zhurnal., 45:9 (1993), 1247-1260 |
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1992 |
64. |
V. P. Orlov, “Local solvability of one-dimensional problem of thermoviscoelasticity”, Israel J. Math., 78 (1992), 51-64 https://doi.org/10.1007/BF02801570 |
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1991 |
65. |
"V. P. Orlov, P. E. Sobolevskiǐ, “On mathematical models of a viscoelasticity with a memory”, Differential and Integral Equations, 4:1 (1991), “103–115” |
66. |
V. P. Orlov, “On the stability of the zero solution of a one-dimensional mathematical model of viscoelasticity”, Differerential Integral Equations, 4 (1991), 89–101 |
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1989 |
67. |
V. P. Orlov, P. E. Sobolevskii, “Solvability of a one-dimensional problem in thermoelasticity”, Dokl. Math., 34:2 (1989), 120–121 |
68. |
V. P. Orlov, P. E. Sobolevskii, “Issledovanie matematicheskikh modelei vyazkouprugosti”, DAN USSR, ser. A, 10 (1989), 31–35 |
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1985 |
69. |
V. P. Orlov, P. E. Sobolevskii, “O gladkosti obobschennykh reshenii uravnenii dvizheniya pochti nyutonovskoi zhidkosti”, Chislennye metody mekhaniki sploshnoi sredy, 16 (1985), 107–119 |
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1977 |
70. |
V. P. Orlov, “Degenerate differential operators in weighted Hölder spaces”, Math. Notes, 21:6 (1977), 428–433 |
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1976 |
71. |
V. P. Orlov, “Higher order singularly degenerate differential operators with unbounded operator coefficients”, Differ. Uravn., 12:2 (1976), 272–280 |
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1975 |
72. |
V. P. Orlov, P. E. Sobolevskii, “On the resolvent of a degenerate operator in Banach space”, Dokl. Akad. Nauk SSSR, 221:5 (1975), 1035–1037 |
73. |
V. P. Orlov, “Fractional powers of degenerate differential operators”, Differ. Uravn., 11:11 (1975), 1980–1989 |
74. |
V. P. Orlov, P. E. Sobolevskii, “The resolvent of a degenerate operator in a Banach space”, Differ. Uravn., 11:5 (1975), 858–868 |
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