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2021
1 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Continuum mechanics of media with inner structures. Differential geometry and its applications 2021 ;Volum 74. s. 1-10
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2 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Symmetries and Differential Invariants for Inviscid Flows on a Curve. Lobachevskii Journal of Mathematics 2021 ;Volum 41.(12) s. 2435-2447
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3 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Symmetry classification of viscid flows on space curves. Journal of Geometry and Physics 2021 ;Volum 160. s. 1-15
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2020
4 Lychagin, Valentin; Roop, Mikhail.
Real gas flows issued from a source. Analysis and Mathematical Physics 2020 ;Volum 10.(1) s. -
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5 Lychagin, Valentin; Yumaguzhin, Valeriy.
On structure of linear differential operators, acting on line bundles. Journal of Geometry and Physics 2020 ;Volum 148.(3) s. -
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2019
6 Bibikov, Pavel; Lychagin, Valentin.
Invariants of algebraic group actions from differential point of view. Journal of Geometry and Physics 2019 ;Volum 136. s. 89-96
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7 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Differential invariants for spherical layer flows of inviscid fluids. Analysis and Mathematical Physics 2019 ;Volum 9.(4) s. 1819-1829
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8 Konovenko, Nadiia; Lychagin, Valentin.
Projective classication of rational CP1-mappings. Analysis and Mathematical Physics 2019 ;Volum 9.(4) s. 1865-1876
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9 Lychagin, Valentin.
Adiabatic filtration of an ideal gas in a homogeneous and isotropic porous medium. Global and Stochastic Analysis (GSA) 2019 ;Volum 6.(1)
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10 Lychagin, Valentin.
Contact Geometry, Measurement, and Thermodynamics. I: Nonlinear PDEs, Their Geometry, and Applications. Springer Nature 2019 ISBN 978-3-030-17030-1. s. 3-52
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11 Lychagin, Valentin; Kushner, Alexei; Slovak, Jan.
Lectures on Geometry of Monge–Ampère Equations with Maple. I: Nonlinear PDEs, Their Geometry, and Applications. Springer Nature 2019 ISBN 978-3-030-17030-1. s. 53-94
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12 Lychagin, Valentin; Roop, Mikhail.
Phase transitions in filtration of Redlich-Kwong gases. Journal of Geometry and Physics 2019 ;Volum 143. s. 33-40
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13 Lychagin, Valentin; Roop, Mikhail.
Steady filtration of Peng-Robinson gases in a porous medium. Global and Stochastic Analysis (GSA) 2019 ;Volum 6.(2)
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14 Lychagin, Valentin; Roop, Mikhail; Tychkov, Sergey; Gorinov, Anton.
Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations. I: Nonlinear PDEs, Their Geometry, and Applications. Springer Nature 2019 ISBN 978-3-030-17030-1. s. 209-222
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15 Lychagin, Valentin; Roubtsov, Vladimir.
Monge–Ampère Grassmannians, Characteristic Classes and All That. I: Nonlinear PDEs, Their Geometry, and Applications. Springer Nature 2019 ISBN 978-3-030-17030-1. s. 233-257
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16 Lychagin, Valentin; Yumaguzhin, Valeriy.
On equivalence of third order linear differential operators on two-dimensional manifolds. Journal of Geometry and Physics 2019 ;Volum 146.
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2018
17 Akhmetzianov, Atlas; Kushner, Alexei G.; Lychagin, Valentin.
Two-dimensional non-isothermal filtration and optimal control of oil field development *. IFAC-PapersOnLine 2018 ;Volum 51.(11) s. 888-890
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18 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin.
Thermodynamics and Optimal Control of Porous Media Flows in Oil Field Development. Doklady. Mathematics 2018 ;Volum 97.(2) s. 131-136
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19 Atlas, Ahmetzyanov; Kushner, Alexei; Lychagin, Valentin.
Optimal Management of Oil Field Development in the Buckley–Leverett Model. Automation and remote control 2018 ;Volum 79.(4) s. 641-654
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20 Duyunova, AA; Lychagin, Valentin; Tychkov, SN.
Differential Invariants for Spherical Flows of Inviscid Fluid. Lobachevskii Journal of Mathematics 2018 ;Volum 39.(5) s. 655-663
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21 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Differential invariants for spherical layer flows of viscid fluids. Journal of Geometry and Physics 2018 ;Volum 130. s. 288-292
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22 Duyunova, Anna; Lychagin, Valentin; Tychkov, Serjei.
Differential invariants for spherical flows of a viscid fluid. Journal of Geometry and Physics 2018 ;Volum 124. s. 436-441
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23 Konovenko, Nadiia; Lychagin, Valentin.
Invariants for primary visual cortex. Differential geometry and its applications 2018 ;Volum 60. s. 156-173
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24 Lychagin, Valentin; Yumaguzhin, Valeriy.
Classification of the second order linear differential operators and differential equations. Journal of Geometry and Physics 2018 ;Volum 130. s. 213-228
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2017
25 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin.
Finite dimensional dynamics for nonlinear filtration equation. Procedia Computer Science 2017 ;Volum 112. s. 1361-1368
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26 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin.
Mass and heat transport in the two-phase Buckley-Leverett model. Journal of Geometry and Physics 2017 ;Volum 113. s. 2-9
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27 Akhmetzyanov, A.V.; Kushner, Alexei G.; Lychagin, Valentin.
Attractors in models of porous media flow. Doklady. Mathematics 2017 ;Volum 95.(1) s. 72-75
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28 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Classification of equations of state for viscous fluids. Doklady. Mathematics 2017 ;Volum 95.(2) s. 172-175
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29 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Differential invariants for flows of viscid fluids. Journal of Geometry and Physics 2017 ;Volum 121. s. 309-316
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30 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey.
Differential invariants for plane flows of inviscid fluids. Analysis and Mathematical Physics 2017 ;Volum 8.(1) s. 135-154
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31 Duyunova, Anna; Lychagin, Valentin; Tychkov, Serjei.
Differential invariants for plane flows of viscid fluids. Lobachevskii Journal of Mathematics 2017 ;Volum 38.(4) s. 644-652
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32 Nadiia, Konovenko; Lychagin, Valentin.
Mobius invariants in image recognition. Journal of Geometric Mechanics (JGM) 2017 ;Volum 9.(2) s. 191-206
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2016
33 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin.
Control of displacement front in a model of immiscible two-phase flow in porous media. Doklady. Mathematics 2016 ;Volum 94.(1) s. 378-381
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34 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin.
Shock waves in initial boundary value problem for filtration in two-phase 2-dimensional porous media. Global and Stochastic Analysis (GSA) 2016 ;Volum 3.(2) s. 41-46
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35 Konovenko, Nadiia; Lychagin, Valentin.
Invariants of projective actions and their applications to recognition of fingerprints. Analysis and Mathematical Physics 2016 ;Volum 6.(1) s. 95-107
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36 Kruglikov, Boris; Lychagin, Valentin.
Global Lie-Tresse theorem. Selecta Mathematica, New Series 2016 ;Volum 22.(3) s. 1357-1411
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37 Lychagin, Valentin; Bibikov, Pavel.
Differential contra algebraic invariants: Applications to classical algebraic problems. Lobachevskii Journal of Mathematics 2016 ;Volum 37.(1) s. 36-49
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38 Lychagin, Valentin; Yumaguzhin, Valeriy.
Differential invariants and exact solutions of the Einstein equation. Analysis and Mathematical Physics 2016 ;Volum 7.(2) s. 107-115
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39 Lychagin, Valentin; Yumaguzhin, Valeriy.
Differential invariants and exact solutions of the Einstein-Maxwell equation. Analysis and Mathematical Physics 2016 ;Volum 7.(1) s. 19-29
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40 Lychagin, Valentin; Yumaguzhin, Valeriy.
Natural spinor structures over Lorentzian manifolds. Journal of Geometry and Physics 2016 ;Volum 106. s. 1-5
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2015
41 Akhmetzianov, Atlas; Kushner, Alexei; Lychagin, Valentin.
Integrable Models of Oil Displacement. IFAC-PapersOnLine 2015 ;Volum 48.(3) s. 1264-1267
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42 Huru, Hilja Lisa; Lychagin, Valentin.
(Fun stuff with) Categorical Quantizations. Winter Geometrical School; 2015-02-01 - 2015-02-07
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43 Huru, Hilja Lisa; Lychagin, Valentin.
Quantizations of unitary representations of compact connected Lie groups. DIFFERENTIAL GEOMETRY, GEOMETRIC INVARIANTS, AND VISION THEORY; 2015-04-23 - 2015-04-25
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44 Konovenko, Nadiia; Lychagin, Valentin.
Lobachevskian geometry in image recognition. Lobachevskii Journal of Mathematics 2015 ;Volum 36.(3) s. 286-291
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45 Kushner, Alexei G.; Lychagin, Valentin.
Feedback Invariants of Control Hamiltonian Systems. IFAC-PapersOnLine 2015 ;Volum 48.(3) s. 1273-1275
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46 Kushner, Alexei G.; Lychagin, Valentin.
Petrov invariants for 1-D control Hamiltonian systems. Global and Stochastic Analysis (GSA) 2015 ;Volum 2.(1) s. 89-100
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47 Lychagin, Valentin; Yumaguzhin, Valeriy.
Invariants in relativity theory. Lobachevskii Journal of Mathematics 2015 ;Volum 36.(3) s. 298-312
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2014
48 Huru, Hilja Lisa; Lychagin, Valentin.
On quantizations of finite and compact group actions. Delta-Geometry; 2014-05-01 - 2014-05-09
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49 Lychagin, Valentin.
Conformal differential invariants in neurogeometry and image recognition. Winter Geometrical School; 2014-02-07 - 2014-02-16
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50 Lychagin, Valentin.
Differential invariants. Summer school on Geometry Differential Equations; 2014-09-08 - 2014-09-12
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