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1
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Antontsev S.N.
, Kuznetsov I.V.
, Prokudin D.A.
, Sazhenkov S.A.
The impulsive Kelvin--Voigt equations for two-component mixtures of viscoelastic fluids
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2025.
V.22. N1. P.563-586. DOI: 10.33048/semi.2025.22.038
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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
WOS
Scopus
РИНЦ
OpenAlex
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3
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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
РИНЦ
OpenAlex
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4
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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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РИНЦ
OpenAlex
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5
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Антонцев С.Н.
, Кузнецов И.В.
УРАВНЕНИЯ КЕЛЬВИНА ̶ ФОЙГТА СО СКАЧКООБРАЗНЫМ ПРОФИЛЕМ ПЛОТНОСТИ
Прикладная механика и техническая физика. 2024.
DOI: 10.15372/PMTF202415504
РИНЦ
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6
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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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7
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on (x,t) and negative initial energy
Nonlinear Analysis: Real World Applications. 2023.
V.71. 103837
:1-15. DOI: 10.1016/j.nonrwa.2023.103837
WOS
Scopus
РИНЦ
OpenAlex
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8
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global existence and regularity for a pseudo-parabolic equation with p(x,t)-Laplacian
Journal of Mathematical Analysis and Applications. 2023.
V.526. N1. 127202
:1-33. DOI: 10.1016/j.jmaa.2023.127202
WOS
Scopus
РИНЦ
OpenAlex
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9
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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
WOS
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РИНЦ
OpenAlex
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10
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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
Scopus
РИНЦ
OpenAlex
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11
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Kuznetsov I.
, Sazhenkov S.
Strong solutions of impulsive pseudoparabolic equations
Nonlinear Analysis: Real World Applications. 2022.
V.65. 103509
:1-19. DOI: 10.1016/j.nonrwa.2022.103509
WOS
Scopus
РИНЦ
OpenAlex
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12
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Kuznetsov I.
, Sazhenkov S.
The impulsive heat equation with the Volterra transition layer
Journal of Elliptic and Parabolic Equations. 2022.
V.8. N2. P.959-993. DOI: 10.1007/s41808-022-00182-9
WOS
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РИНЦ
OpenAlex
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13
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Kuznetsov I.
, Sazhenkov S.
Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources
В сборнике
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
Scopus
РИНЦ
OpenAlex
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14
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Kuznetsov I.
, Sazhenkov S.
Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations
В сборнике
Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions.
– American Institute of Physics – AIP.,
2022.
– ISBN 9780735443990. DOI: 10.1063/5.0106234
Scopus
РИНЦ
OpenAlex
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15
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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
WOS
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РИНЦ
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16
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
On a class of nonlocal evolution equations with the p[∇u]-Laplace operator
Journal of Mathematical Analysis and Applications. 2021.
V.501. N2. P.125221. DOI: 10.1016/j.jmaa.2021.125221
WOS
Scopus
РИНЦ
OpenAlex
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17
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Kuznetsov I.
, Sazhenkov S.
Singular limits of the quasi-linear Kolmogorov-type equation with a source term
Journal of Hyperbolic Differential Equations. 2021.
V.18. N04. P.789-856. DOI: 10.1142/s0219891621500247
WOS
Scopus
РИНЦ
OpenAlex
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18
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Kuznetsov I.V.
, Sazhenkov S.A.
Entropy solutions of an ultra-parabolic equation with the one-sided Dirac delta function as the minor term
Journal of Physics: Conference Series. 2020.
V.1666. 012025
:1-6. DOI: 10.1088/1742-6596/1666/1/012025
Scopus
РИНЦ
OpenAlex
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19
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
A shock layer arising as the source term collapses in the p(x)-Laplacian equation
Problemy Analiza. 2020.
V.27. N3. P.31-53. DOI: 10.15393/j3.art.2020.8990
WOS
Scopus
РИНЦ
OpenAlex
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20
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Кузнецов И.В.
, Саженков С.А.
Задача Коши — Дирихле для квазилинейного ультра-параболического уравнения колмогоровского типа
В сборнике
МАК : «Математики – Алтайскому краю» : сборник трудов всероссийской конференции по математике с международным участием.– Барнаул: Изд-во Алт. ун-та, 2018..
– Алтайский государственный университет.,
2018.
– C.74-77.
РИНЦ
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