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1
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Rudoy E.
, Sazhenkov S.
Imperfect interface models for elastic structures bonded by a strain gradient layer: the case of antiplane shear
Zeitschrift fur Angewandte Mathematik und Physik. 2025.
V.76. N1. 42
:1-21. DOI: 10.1007/s00033-025-02425-w
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2
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
, Shmarev S.
Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer
Journal of Mathematical Analysis and Applications. 2024.
V.530. N1. 127751
:1-22. DOI: 10.1016/j.jmaa.2023.127751
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3
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
A quasi-static model of a thermoelastic body reinforced by a thin thermoelastic inclusion
Mathematics and Mechanics of Solids. 2024.
V.29. N4. P.796-817. DOI: 10.1177/10812865231217043
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4
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Антонцев С.Н.
, Кузнецов И.В.
, Саженков С.А.
ИМПУЛЬСНЫЕ УРАВНЕНИЯ КЕЛЬВИНА–ФОЙГТА ДИНАМИКИ НЕСЖИМАЕМОЙ ВЯЗКОУПРУГОЙ ЖИДКОСТИ
Прикладная механика и техническая физика. 2024.
Т.65. №5. С.28-42. DOI: 10.15372/PMTF202415472
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5
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Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
, Shmarev S.
Solutions of impulsive p(x,t)-parabolic equations with an infinitesimal initial layer
Nonlinear Analysis: Real World Applications. 2024.
V.80. 104162
:1-23. DOI: 10.1016/j.nonrwa.2024.104162
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6
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Rudoy E.M.
, Sazhenkov S.A.
The homogenized dynamical model of a thermoelastic composite stitched with reinforcing filaments
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N20230304. 20230304
:1-15. DOI: 10.1098/rsta.2023.0304
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7
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Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N2277. 20240115
:1-16. DOI: 10.1098/rsta.2024.0115
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8
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Sazhenkov S.
, Sazhenkova E.
Homogenization of a Thermoelastic Bristly Structure Immersed in a Thermofluid
Axioms. 2024.
V.13. N11. 731
. DOI: 10.3390/axioms13110731
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9
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
KELVIN–VOIGT IMPULSE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS
Journal of Applied Mechanics and Technical Physics. 2024.
N5.
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10
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Kuznetsov I.
, Sazhenkov S.
Weak solutions of impulsive pseudoparabolic equations with an
infinitesimal transition layer
Nonlinear Analysis. 2023.
V.228. 113190
:1-20. DOI: 10.1016/j.na.2022.113190
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11
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
The homogenized quasi-static model of a thermoelastic composite stitched with reinforcing threads
Journal of Computational and Applied Mathematics. 2023.
V.434. 115346
:1-27. DOI: 10.1016/j.cam.2023.115346
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12
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Rudoy E.
, Sazhenkov S.
Variational Approach to Modeling of Curvilinear Thin Inclusions with Rough Boundaries in Elastic Bodies: Case of a Rod-Type Inclusion
Mathematics. 2023.
V.11. N16. 3447
:1-14. DOI: 10.3390/math11163447
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13
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Саженков С.А.
Многомасштабные модели гетерофазных сплошных сред
In compilation
МАК: "Математики - Алтайскому краю".
– Алтайский государственный университет.,
2023.
– C.93-98.
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14
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Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION
Interfacial Phenomena and Heat Transfer. 2023.
V.11. N4. 17-33
:1-1. DOI: 10.1615/interfacphenomheattransfer.2023049787
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15
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Саженков С.А.
, Саженкова Е.В.
, Чжун Ц.
Гомогенизация модели антиплоского сдвига слоистого композита методом Аллера - Нгуетсенга
In compilation
Труды семинара по геометрии и математическому моделированию: сборник статей.
– Алтайский государственный университет.,
2023.
– Т.9. – C.66-77.
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16
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Kuznetsov I.
, Sazhenkov S.
Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources
In compilation
Current Trends in Analysis, its Applications and Computation.
– Birkhäuser, Springer Nature Switzerland AG.,
2022.
– C.565-574. – ISBN 978-3-030-87501-5. DOI: 10.1007/978-3-030-87502-2_57
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17
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Kuznetsov I.
, Sazhenkov S.
Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations
In compilation
Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions.
– American Institute of Physics – AIP.,
2022.
– ISBN 9780735443990. DOI: 10.1063/5.0106234
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18
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Alekseeva S.V.
, Sazhenkov S.A.
Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack
Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 2022.
V.15. N2. P.5-16. DOI: 10.14529/mmp220201
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19
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Kuznetsov I.V.
, Sazhenkov S.A.
The one-dimensional impulsive Barenblatt--Zheltov--Kochina equation with a transition layer
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2022.
V.19. N2. P.724-740. DOI: 10.33048/semi.2022.19.060
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20
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Саженкова Т.В.
, Саженков С.А.
, Саженкова Е.В.
Регулярность и аппроксимация решения односторонней задачи для псевдопараболического оператора Баренблатта – Желтова – Кочиной
Математические заметки СВФУ / Mathematical Notes of NEFU. 2022.
Т.29. №1(113). С.69-87. DOI: 10.25587/svfu.2022.56.36.006
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