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Orlov, Vladimir Petrovich

Total publications: 74 (73)
in MathSciNet: 32 (32)
in zbMATH: 15 (15)
in Web of Science: 16 (16)
in Scopus: 24 (24)
Cited articles: 35
Citations: 207

Number of views:
This page:2595
Abstract pages:9566
Full texts:2908
References:1260
Professor
Doctor of physico-mathematical sciences
E-mail: , ,

https://www.mathnet.ru/eng/person19210
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/236632

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   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  mathnet  crossref  crossref  crossref  mathscinet  adsnasa  isi  scopus
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)  mathnet  crossref  crossref
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  crossref

   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  mathnet  crossref  crossref  scopus
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  mathnet  crossref  crossref  elib
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  mathnet  crossref  crossref  elib

   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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
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  mathnet  crossref  crossref

   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  mathnet  crossref  crossref  isi  scopus
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  mathnet  crossref  crossref
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  crossref 1

   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  mathnet  crossref  crossref  isi  scopus
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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   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  mathnet  crossref  crossref  isi  scopus

   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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
17. V. G. Zvyagin, V. P. Orlov,, “Solvability of one non-Newtonian fluid dynamics model with memory”, Nonlinear Analysis:TMA, 172 (2018), 73–98  crossref 20
18. V. G. Zvyagin, V. P. Orlov, “Weak solvability of fractional voigt model of viscoelasticity”, Discrete and Continuous Dynamical Systems- Series A, 38 (2018), 6327–6350  crossref 25
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), 3855–3877  crossref 10
20. V. G. Zvyagin, V. P. Orlov, “O slaboi razreshimosti odnoi drobnoi modeli vyazkouprugosti”, Doklady Akademii Nauk, 483:2 (2018), 134–137  mathnet  crossref 1

   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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
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), 589–606  crossref 7
23. V. G. Zvyagin, V. P. Orlov, “O slaboi razreshimosti drobnoi modeli vyazkouprugosti Foigta”, Doklady Akademii Nauk, 476:5 (2017), 492–494  crossref
24. V. G. Zvyagin, V. P. Orlov, “O zadache dinamiki vyazkouprugoi sredy s pamyatyu na beskonechnom intervale”, Doklady Akademii Nauk, 475:2 (2017), 130–132  crossref
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  crossref

   2016
26. V. G. Zvyagin, V. P. Orlov, “On the Parabolic Problem of Motion of Thermoviscoelastic Media”, Math. Notes, 99:3 (2016), 465–469  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
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 Oldroyd’s Type”, Differential and Difference Equations with Applications, Selected Contributions (ICDDEA, Amadora, Portugal, May 18–22, 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  crossref 16

   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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
33. V. G. Zvyagin, V. P. Orlov, “On the weak solvability of one system of thermoviscoelasticity”, AIP Conference Proceedings, 1676, 020011 (2015), 6 pp.

   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  mathnet  crossref  mathscinet  scopus
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  mathnet  crossref  mathscinet  scopus
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  mathnet  crossref  scopus
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  mathnet

   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  mathnet  crossref  mathscinet  scopus

   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  mathnet  crossref  mathscinet  scopus

   2010
43. V. P. Orlov, “Strong solution of certain thermoviscoelastic system”, Russian Math. (Iz. VUZ), 54:8 (2010), 41–47  mathnet  crossref  mathscinet  scopus

   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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2006
45. V. P. Orlov, “The motion of a viscoelastic medium with a free boundary”, Russian Math. (Iz. VUZ), 50:10 (2006), 40–46  mathnet  mathscinet
46. V. P. Orlov, “Ob odnoi zadache dinamiki vyazkouprugoi sredy so svobodnoi granitsei”, Nelineinye granichnye zadachi, 16 (2006), 193–201 .

   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), 215–245

   2003
48. V. P. Orlov, “Weakly Degenerate Hyperbolic Equations”, Differ. Equ., 39:10 (2003), 1485–1496  mathnet  crossref  mathscinet  scopus

   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

   2000
50. V. P. Orlov, “On one problem of thermoelasticity”, Mathematical Sciences and Applications, 13 (2000), 238-250

   1999
51. V. P. Orlov, “On the Oldroid Model of a Viscoelastic Fluid”, Funct. Anal. Appl., 33:1 (1999), 72–75  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
52. V. P. Orlov, “On an abstract integrodifferential problem”, Math. Notes, 66:6 (1999), 733–740  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  mathscinet  zmath
54. V. P. Orlov, “Weakly degenerate differential equations with an unbounded operator coefficient”, Russian Math. (Iz. VUZ), 41:1 (1997), 32–39  mathnet  mathscinet  zmath

   1996
55. V. P. Orlov, “On a problem in thermoelasticity”, Dokl. Akad. Nauk, 346:1 (1996), 19–20  mathnet  mathscinet  zmath
56. V. P. Orlov, “Nonlocal solvability of a one-dimensional mathematical model of viscoelasticity”, Comput. Math. Math. Phys., 36:5 (1996), 649–658  mathnet  mathscinet  zmath  isi
57. V. P. Orlov, “Stability of zero solution of mathematical model of multidimensional barotropic viscoelastic medium”, Nonlinear Analysis:TMA, 26:12 (1996), 1937–1950

   1995
58. V. P. Orlov, “Investigation of a mathematical model of thermoviscoelasticity”, Dokl. Akad. Nauk, 343:3 (1995), 320–322  mathnet  mathscinet  zmath
59. V. P. Orlov, “Local solvability of a coupled problem in thermoviscoelasticity”, Differ. Equ., 31:10 (1995), 1712–1720  mathnet  mathscinet
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  mathnet  mathscinet  zmath
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

   1993
63. V. P. Orlov, “Ustoichivost nulevogo resheniya odnomernoi matematicheskoi modeli termouprugosti”, Ukrainskii mat. zhurnal., 45:9 (1993), 1247-1260

   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

   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

   1989
67. V. P. Orlov, P. E. Sobolevskii, “Solvability of a one-dimensional problem in thermoelasticity”, Dokl. Math., 34:2 (1989), 120–121  mathnet  mathscinet  zmath
68. V. P. Orlov, P. E. Sobolevskii, “Issledovanie matematicheskikh modelei vyazkouprugosti”, DAN USSR, ser. A, 10 (1989), 31–35

   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

   1977
70. V. P. Orlov, “Degenerate differential operators in weighted Hölder spaces”, Math. Notes, 21:6 (1977), 428–433  mathnet  crossref  mathscinet  zmath  scopus

   1976
71. V. P. Orlov, “Higher order singularly degenerate differential operators with unbounded operator coefficients”, Differ. Uravn., 12:2 (1976), 272–280  mathnet  mathscinet  zmath

   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  mathnet  mathscinet  zmath
73. V. P. Orlov, “Fractional powers of degenerate differential operators”, Differ. Uravn., 11:11 (1975), 1980–1989  mathnet  mathscinet  zmath
74. V. P. Orlov, P. E. Sobolevskii, “The resolvent of a degenerate operator in a Banach space”, Differ. Uravn., 11:5 (1975), 858–868  mathnet  mathscinet  zmath

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