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1
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Tkachev D.L.
, Biberdorf E.A.
The Spectrum of a problem on the flow of a polymeric viscoelastic fluid in a cylindrical channel described by vinogradov-pokrovski model
In compilation
Analytical Methods in Differential Equations.
– De Gruyter.,
2025.
– C.173-184. – ISBN 9783111570518. DOI: 10.1515/9783111570518-018
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2
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Tkachev D.L.
Rheological Vinogradov-Pokrovski Model. Lyapunov Linear Instability of the Stationary Flows of Polymeric Fluid in an Infinite Plane Channel with Perforated Walls
In compilation
Hyperbolic Problems: Theory, Numerics, Applications. Volume I. Proceedings of the XVIII International Conference on Hyperbolic Problems (HYP2022), Málaga, Spain, June 20-24, 2022.
– Springer Cham.,
2024.
– C.373-384. – ISBN 9783031552595. DOI: 10.1007/978-3-031-55260-1_29
WOS
Scopus
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3
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Tkachev D.L.
, Yegitov A.V.
, Biberdorf E.A.
Linear instability of a resting state of the magnetohydrodynamic flows of polymeric fluid in a cylindrical channel (generalized Vinogradov–Pokrovski model)
Physics of Fluids. 2024.
V.36. N9. 093115
:1-21. DOI: 10.1063/5.0227933
WOS
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РИНЦ
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4
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Tkachev D.L.
, Biberdorf E.A.
Spectrum of a linear problem about the MHD flows of a polymeric fluid in a cylindrical channel in case of an absolute conductivity (Generalized Vinogradov-Pokrovski model)
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024.
V.21. N2. P.823-851. DOI: 10.33048/semi.2024.21.055
WOS
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5
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Blokhin A.M.
, Rudometova A.S.
, Tkachev D.L.
Two-phase states of the generalized van der Waals gas: Conditions of absolute and neutral shock wave stability
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2023.
V.103. N5. e202200026
:1-16. DOI: 10.1002/zamm.202200026
WOS
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РИНЦ
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6
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Tkachev D.L.
Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid
Journal of Mathematical Analysis and Applications. 2023.
V.522. N1. 126914
. DOI: 10.1016/j.jmaa.2022.126914
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РИНЦ
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7
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Tkachev D.L.
The Spectrum and Lyapunov Linear Instability of the Stationary State for Polymer Fluid Flows:The Vinogradov–Pokrovskii Model
Siberian Mathematical Journal. 2023.
V.64. N2. P.407-423. DOI: 10.1134/s0037446623020131
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РИНЦ
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8
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Tkachev D.L.
, Biberdorf E.A.
Spectrum of a problem about the flow of a polymeric viscoelastic fluid in a cylindrical channel (Vinogradov- Pokrovski model)
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023.
V.20. N2. P.1269-1289. DOI: 10.33048/semi.2023.20.076
WOS
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РИНЦ
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9
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Blokhin A.M.
, Tkachev D.L.
Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls
Sbornik Mathematics. 2022.
V.213. N3. P.283-299. DOI: 10.1070/SM9507
WOS
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РИНЦ
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10
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Blokhin A.M.
, Tkachev D.L.
On Linearly Unstable Steady States of an MHD Model of an Incompressible Polymeric Fluid in the Case of Absolute Conductivity
Siberian Advances in Mathematics. 2022.
V.32. N1. DOI: 10.1134/S1055134422010011
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РИНЦ
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11
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Blokhin A.M.
, Tkachev D.L.
, Yegitov A.V.
Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate
Journal of Mathematical Analysis and Applications. 2022.
V.506. N1. 125541
. DOI: 10.1016/j.jmaa.2021.125541
WOS
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РИНЦ
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12
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Blokhin A.
, Tkachev D.
Linear instability of the resting state for the MHD model of an incomressible polymeric fluid
AIP Conference Proceedings. 2021.
V.2351. 040057
. DOI: 10.1063/5.0052068
Scopus
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13
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Blokhin A.M.
, Tkachev D.L.
MHD model of incompressible polymeric fluid. Linear instability of the resting state
Complex Variables and Elliptic Equations. 2021.
V.66. N6-7. P.929-944. DOI: 10.1080/17476933.2020.1797706
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14
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Blokhin A.M.
, Tkachev D.L.
Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2021.
V.101. N12. e202000384
. DOI: 10.1002/zamm.202000384
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15
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Blokhin A.M.
, Rudometova A.S.
, Tkachev D.L.
An MHD Model of an Incompressible Polymeric Fluid: Linear Instability of a Steady State
Journal of Applied and Industrial Mathematics. 2020.
V.14. N3. P.430-442. DOI: 10.1134/S1990478920030035
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16
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Blokhin A.M.
, Tkachev D.L.
Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid
Sbornik Mathematics. 2020.
V.211. N7. P.901-921. DOI: 10.1070/sm9267
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17
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Блохин А.М.
, Ткачeв Д.Л.
Устойчивость аналога течения Пуазейля в МГД модели несжимаемой полимерной жидкости
Математический сборник. 2020.
V.211. N7. P.3-23. DOI: 10.4213/sm9267
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18
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Blokhin A.M.
, Tkachev D.L.
Stability of the Poiseuille-type flow for a MHD model of an incompressible polymeric fluid
European Journal of Mechanics, B/Fluids. 2020.
V.80. P.112-121. DOI: 10.1016/j.euromechflu.2019.12.006
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19
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Blokhin A.M.
, Tkachev D.L.
MHD Model of an Incompressible Polymeric Fluid. Stability of the Poiseuille Type Flow
Monography chapter
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov.
– Springer Nature.,
2020.
– C.45-51. – ISBN 9783030388690. DOI: 10.1007/978-3-030-38870-6_7
Scopus
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20
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Blokhin A.
, Tkachev D.
MHD model of an incompressible polymeric fluid. Linear instability of the resting state
Journal of Physics: Conference Series. 2020.
V.1666. N1. P.012007. DOI: 10.1088/1742-6596/1666/1/012007
Scopus
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