Edit Profile (opens in new tab) Lychagin, Valentin V. Co-Author Distance Author ID: lychagin.valentin-v Published as: Lychagin, V. V.; Lychagin, Valentin; Lychagin, Valentin V.; Lychagin, V.; Lycagin, V. V. more...less Homepage: https://math.uit.no/ansatte/valentin/index.html External Links: MGP · ORCID Documents Indexed: 195 Publications since 1973, including 3 Books and 11 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 3 Publications Co-Authors: 66 Co-Authors with 150 Joint Publications 2,079 Co-Co-Authors all top 5 Co-Authors 47 single-authored 19 Tychkov, Sergey N. 18 Duyunova, Anna Andreevna 18 Yumaguzhin, Valeriy A. 15 Kruglikov, Boris S. 13 Kushner, Alekseĭ Gur’evich 13 Roop, Mikhail D. 12 Goldberg, Vladislav V. 10 Konovenko, Nadiya G. 10 Zilbergleit, Lev V. 9 Bibikov, Pavel Vitalievich 9 Rubtsov, Vladimir Nikolaevich 8 Jakobsen, Per Kristen 5 Akhmetzyanov, Atlas V. 4 Huru, Hilja Lisa 4 Krasil’shchik, Iosif Semënovich 4 Vinogradov, Aleksandr Mikhaĭlovich 2 Gurevich, Dmitrii 2 Verbovetsky, Alexander Moiseevich 1 Akhmetzianov, A. V. 1 Akivis, Maks A. 1 Alekseev, D. V. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Bukhshtaber, Viktor Matveevich 1 Chekalov, Igor V. 1 Chetverikov, Vladimir N. 1 Duzhin, Sergeĭ Vasil’evich 1 Fomenko, Anatoliĭ Timofeevich 1 Fuchs, Dmitry Borisovich 1 Gorinov, Anton A. 1 Khelemskiĭ, Aleksandr Yakovlevich 1 Kac, Victor 1 Khor’kova, Nina Grigor’evna 1 Kirichenko, Vadim Fëdorovich 1 Kononenko, N. G. 1 Kosmann-Schwarzbach, Yvette 1 Krichever, Igor’ Moiseevich 1 Krishchenko, Alexander P. 1 Lando, Sergei K. 1 Lychagina, Olga 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Novikov, Sergeĭ Petrovich 1 Prasolov, Andrei V. 1 Prástaro, Agostino 1 Romanovskij, Yu. R. 1 Roop, Michael 1 Roubtsov, Volodya 1 Samokhin, Alexey V. 1 Schwarz, Albert S. 1 Shelekhov, Alexander M. 1 Slovák, Jan 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stasheff, James D. 1 Sternin, Boris Yur’evich 1 Straume, Eldar J. 1 Vasil’ev, Viktor Anatol’evich 1 Vershik, Anatoliĭ Moiseevich 1 Veselov, Alexander Petrovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Vitolo, Raffaele F. 1 Voronov, Theodore all top 5 Serials 25 Journal of Geometry and Physics 24 Lobachevskii Journal of Mathematics 14 Acta Applicandae Mathematicae 12 Doklady Mathematics 9 Analysis and Mathematical Physics 8 Soviet Mathematics. Doklady 5 Mathematical Notes 5 Russian Mathematical Surveys 5 Differential Geometry and its Applications 5 Russian Mathematics 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Automation and Remote Control 3 Journal of Generalized Lie Theory and Applications 3 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 2 Mathematics of the USSR, Sbornik 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Selecta Mathematica. New Series 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Global and Stochastic Analysis 1 Doklady Akademii Nauk BSSR 1 Matematicheskie Zametki 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Soviet Mathematics 1 The Journal of Geometric Analysis 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Russian Academy of Sciences. Doklady. Mathematics 1 Nonlinear Dynamics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 International Journal of Geometric Methods in Modern Physics 1 Kibernetika i Vychislitel’naya Tekhnika 1 Advanced Studies in Contemporary Mathematics (New York) 1 Encyclopedia of Mathematics and Its Applications 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Abel Symposia 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 1 Journal of Geometric Mechanics 1 Translations. Series 2. American Mathematical Society all top 5 Fields 94 Partial differential equations (35-XX) 86 Global analysis, analysis on manifolds (58-XX) 79 Differential geometry (53-XX) 37 Fluid mechanics (76-XX) 16 Category theory; homological algebra (18-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Nonassociative rings and algebras (17-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 8 Quantum theory (81-XX) 8 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 7 Algebraic topology (55-XX) 6 Associative rings and algebras (16-XX) 6 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Manifolds and cell complexes (57-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 1,158 times in 582 Documents Cited by ▼ Year ▼ Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001 Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M. 152 1986 Contact geometry and nonlinear differential equations. Zbl 1122.53044 Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir 118 2007 Global Lie-Tresse theorem. Zbl 1347.53015 Kruglikov, Boris; Lychagin, Valentin 70 2016 Geometry of differential equations. Zbl 1236.58039 Kruglikov, Boris; Lychagin, Valentin 47 2008 Contact geometry and non-linear second-order differential equations. Zbl 0427.58002 Lychagin, V. V. 44 1979 Introduction to the geometry of nonlinear differential equations. (Введение в геометрию нелинейных дифференциальных уравнений.) Zbl 0592.35002 Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V. 32 1986 Local classification of non-linear first order partial differential equations. Zbl 0315.35027 Lycagin, V. V. 29 1975 Basic ideas and concepts of differential geometry. Zbl 0735.53001 Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V. 26 1988 A classification of Monge-Ampère equations. Zbl 0789.58078 Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V. 24 1993 Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001 Duzhin, S. V.; Lychagin, V. V. 20 1991 Basic ideas and notions from differential geometry. Zbl 0675.53001 Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V. 20 1988 Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011 Kruglikov, Boris; Lychagin, Valentin 20 2006 Mayer brackets and solvability of PDEs. I. Zbl 1026.35004 Kruglikov, Boris; Lychagin, Valentin 19 2002 Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008 Lychagin, V. V. 18 1985 \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms. Zbl 1258.13011 Bibikov, P.; Lychagin, V. 17 2011 Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039 Lychagin, V.; Prástaro, A. 14 1994 On the Blaschke conjecture for 3-webs. Zbl 1104.53011 Goldberg, Vladislav V.; Lychagin, Valentin V. 13 2006 Critical phenomena in filtration processes of real gases. Zbl 1453.80004 Lychagin, V. V.; Roop, M. D. 13 2020 Contact geometry, measurement, and thermodynamics. Zbl 1428.53111 Lychagin, Valentin V. 13 2019 On Sophus Lie’s theorems for the Monge-Ampère equations. Zbl 0526.58002 Lychagin, V. V.; Rubtsov, V. N. 12 1983 Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244 Lychagin, Valentin; Lychagina, Olga 12 2007 Mayer brackets and solvability of PDEs. II. Zbl 1093.35053 Kruglikov, Boris; Lychagin, Valentin 12 2006 Feedback differential invariants. Zbl 1189.93035 Lychagin, Valentin 12 2010 Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056 Lychagin, V. V. 12 1990 Invariants in relativity theory. Zbl 1332.83034 Lychagin, V.; Yumaguzhin, V. 10 2015 Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002 Lychagin, V. 10 1995 Colour calculus and colour quantizations. Zbl 0846.18006 Lychagin, V. 10 1995 On sufficient orbits of a group of contact diffeomorphisms. Zbl 0412.58019 Lychagin, V. V. 10 1977 Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds. Zbl 1073.53021 Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V. 10 2004 Classification of the second order linear differential operators and differential equations. Zbl 1394.35017 Lychagin, Valentin; Yumaguzhin, Valeriy 9 2018 Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013 Bibikov, P. V.; Lychagin, V. V. 9 2012 Projective classification of binary and ternary forms. Zbl 1230.22011 Bibikov, Pavel; Lychagin, Valentin 9 2011 Local classification of Monge-Ampère differential equations. Zbl 0555.35016 Lychagin, V. V.; Rubtsov, V. N. 8 1983 On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027 Lychagin, Valentin; Yumaguzhin, Valeriy 8 2019 Attractors in models of porous media flow. Zbl 1368.35038 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 8 2017 Thermodynamics as a theory of measurement. Zbl 1483.80002 Lychagin, Valentin 8 2022 Kontaktgeometrie und nichtlineare Differentialgleichungen zweiter Ordnung. Zbl 0405.58003 Lycagin, V. V. 7 1979 Dimension of the solutions space of PDEs. Zbl 1200.35194 Kruglikov, Boris; Lychagin, Valentin 7 2006 Calculus and quantizations over Hopf algebras. Zbl 0914.18007 Lychagin, V. 7 1998 On structure of linear differential operators, acting on line bundles. Zbl 1480.58016 Lychagin, Valentin; Yumaguzhin, Valeriy 7 2020 Continuum mechanics of media with inner structures. Zbl 1459.35309 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 7 2021 The geometry and topology of shock waves. Zbl 0549.58015 Lychagin, V. V. 6 1982 Braided differential operators and quantizations in \(ABC\)-categories. Zbl 0803.18005 Lychagin, Valentin 6 1994 Geometric singularities of solutions of nonlinear differential equations. Zbl 0546.35014 Lychagin, V. V. 6 1981 Quantum mechanics on manifolds. Zbl 0930.35149 Lychagin, V. 6 1999 On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011 Bibikov, Pavel; Lychagin, Valentin 6 2014 \(GL_{3}(\mathbb C)\)-orbits of ternary rational forms. Zbl 1237.53011 Bibikov, P. V.; Lychagin, V. V. 6 2011 Classification of equations of state for viscous fluids. Zbl 1375.35370 Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 6 2017 Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253 Lychagin, Valentin; Roop, Mikhail 5 2019 Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011 Bibikov, P.; Lychagin, Valentin 5 2016 A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004 Kruglikov, Boris; Lychagin, Valentin 5 2004 On equivalence of differential equations. Zbl 1122.35302 Kruglikov, Boris; Lychagin, Valentin 5 1999 Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033 Lychagin, V. V. 5 2009 Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187 Kruglikov, Boris; Lychagin, Valentin 5 2010 Quantizations of differential equations. Zbl 1042.18500 Lychagin, Valentin 5 2001 Differential invariants for plane flows of viscid fluids. Zbl 1373.37184 Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey 5 2017 Lectures on geometry of Monge-Ampère equations with Maple. Zbl 1447.35005 Kushner, Alexei; Lychagin, Valentin V.; Slovák, Jan 5 2019 Differential equations on two-dimensional manifolds. Zbl 0899.58062 Lychagin, V. V. 4 1992 Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094 Kruglikov, Boris; Lychagin, Valentin 4 2006 Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039 Lychagin, V. V. 4 1987 On sufficient orbits of a group of contact diffeomorphisms. Zbl 0405.58030 Lycagin, V. V. 4 1977 On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051 Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2005 Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 4 2016 Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046 Kushner, Alexei G.; Lychagin, Valentin V. 4 2012 \(\text{GL}_{2}(\mathbb C)\)-orbits of binary forms. Zbl 1215.13005 Bibikov, P. V.; Lychagin, V. V. 4 2010 Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014 Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2010 Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071 Duyunova, A.; Lychagin, V.; Tychkov, S. 4 2020 Shock waves in Euler flows of gases. Zbl 1458.35316 Lychagin, V. V.; Roop, M. D. 4 2020 Differential invariants for flows of viscid fluids. Zbl 1394.76038 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 4 2017 Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080 Kushner, A. G.; Lychagin, V. V. 4 2013 Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V. 4 2017 Natural differential invariants and equivalence of nonlinear second order differential operators. Zbl 07549965 Lychagin, Valentin; Yumaguzhin, Valeriy 4 2022 Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 3 2018 Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366 Kruglikov, Boris; Lychagin, Valentin 3 2007 Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051 Zil’berglejt, L. V.; Lychagin, V. V. 3 1993 Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071 Lychagin, Valentin; Rubtsov, Vladimir 3 1994 Characteristic classes of solutions of differential equations. Zbl 0541.58006 Lychagin, V. V. 3 1983 Quantizations of group actions. Zbl 1256.81067 Huru, Hilja L.; Lychagin, Valentin V. 3 2012 Nonlinear differential equations and contact geometry. Zbl 0401.35018 Lycagin, V. V. 3 1978 Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003 Lychagin, Valentin; Yumaguzhin, Valeriy 3 2012 On projective classification of plane curves. Zbl 1296.53031 Konovenko, Nadiia; Lychagin, Valentin 3 2011 Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V. 3 2013 Symmetry classification of viscid flows on space curves. Zbl 1456.53079 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 3 2021 Real gas flows issued from a source. Zbl 1428.76185 Lychagin, Valentin; Roop, Mikhail 3 2020 On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010 Lychagin, V.; Yumaguzhin, V. 3 2009 Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290 Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N. 3 2019 Invariants for primary visual cortex. Zbl 1405.53038 Konovenko, Nadiia; Lychagin, Valentin 2 2018 Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094 Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 2 2018 Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Differential operators on fiber spaces. Zbl 0555.58029 Lychagin, V. V. 2 1985 Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044 Lychagin, V. V. 2 1988 Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007 Konovenko, Nadiia; Lychagin, Valentin 2 2016 On the Cauchy problem for the Einstein equation. Zbl 1260.35228 Lychagin, V. V.; Yumaguzhin, V. A. 2 2012 On the singularities of solutions of differential equations. Zbl 0475.58026 Lychagin, V. V. 2 1980 Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012 Huru, Hilja Lisa; Lychagin, Valentin 2 2008 Critical phenomena in Darcy and Euler flows of real gases. Zbl 1503.35145 Lychagin, Valentin V.; Roop, Mikhail D. 2 2021 Differential invariants for flows of fluids and gases. Zbl 1503.35129 Duyunova, Anna; Lychagin, Valentin V.; Tychkov, Sergey 2 2021 On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018 Lychagin, Valentin 2 2020 Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006 Lychagin, Valentin; Yumaguzhin, Valeriy 2 2017 Maximum entropy wave functions. Zbl 1111.82025 Jakobsen, Per K.; Lychagin, Valentin V. 1 2006 Thermodynamics of one-dimensional flows. Zbl 1531.35253 Duyunova, A.; Lychagin, V.; Tychkov, S. 1 2023 On thermodynamics of multicomponent systems. Zbl 07792259 Lychagin, V. V. 1 2023 Measurement of random operators, jet geometry and high-order phase transitions. Zbl 07738950 Lychagin, Valentin V. 1 2023 Thermodynamics as a theory of measurement. Zbl 1483.80002 Lychagin, Valentin 8 2022 Natural differential invariants and equivalence of nonlinear second order differential operators. Zbl 07549965 Lychagin, Valentin; Yumaguzhin, Valeriy 4 2022 Continuum mechanics of media with inner structures. Zbl 1459.35309 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 7 2021 Symmetry classification of viscid flows on space curves. Zbl 1456.53079 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 3 2021 Critical phenomena in Darcy and Euler flows of real gases. Zbl 1503.35145 Lychagin, Valentin V.; Roop, Mikhail D. 2 2021 Differential invariants for flows of fluids and gases. Zbl 1503.35129 Duyunova, Anna; Lychagin, Valentin V.; Tychkov, Sergey 2 2021 Symmetries and integrals. Zbl 1503.35213 Lychagin, Valentin V. 1 2021 Critical phenomena in filtration processes of real gases. Zbl 1453.80004 Lychagin, V. V.; Roop, M. D. 13 2020 On structure of linear differential operators, acting on line bundles. Zbl 1480.58016 Lychagin, Valentin; Yumaguzhin, Valeriy 7 2020 Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071 Duyunova, A.; Lychagin, V.; Tychkov, S. 4 2020 Shock waves in Euler flows of gases. Zbl 1458.35316 Lychagin, V. V.; Roop, M. D. 4 2020 Real gas flows issued from a source. Zbl 1428.76185 Lychagin, Valentin; Roop, Mikhail 3 2020 On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018 Lychagin, Valentin 2 2020 Contact geometry in optimal control of thermodynamic processes for gases. Zbl 07424625 Kushner, A. G.; Lychagin, V. V.; Roop, M. D. 1 2020 Invariants of forth order linear differential operators. Zbl 1473.35107 Lychagin, V. V.; Yumaguzhin, V. A. 1 2020 Contact geometry, measurement, and thermodynamics. Zbl 1428.53111 Lychagin, Valentin V. 13 2019 On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027 Lychagin, Valentin; Yumaguzhin, Valeriy 8 2019 Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253 Lychagin, Valentin; Roop, Mikhail 5 2019 Lectures on geometry of Monge-Ampère equations with Maple. Zbl 1447.35005 Kushner, Alexei; Lychagin, Valentin V.; Slovák, Jan 5 2019 Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290 Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N. 3 2019 Invariants of algebraic group actions from differential point of view. Zbl 1410.22006 Bibikov, Pavel; Lychagin, Valentin 1 2019 Differential invariants for spherical layer flows of inviscid fluids. Zbl 1431.53019 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2019 Monge-Ampère Grassmannians, characteristic classes and all that. Zbl 1423.53114 Lychagin, Valentin V.; Roubtsov, Volodya 1 2019 Classification of the second order linear differential operators and differential equations. Zbl 1394.35017 Lychagin, Valentin; Yumaguzhin, Valeriy 9 2018 Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 3 2018 Invariants for primary visual cortex. Zbl 1405.53038 Konovenko, Nadiia; Lychagin, Valentin 2 2018 Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094 Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 2 2018 Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Differential invariants for plane flows of inviscid fluids. Zbl 1390.35245 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2018 Attractors in models of porous media flow. Zbl 1368.35038 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 8 2017 Classification of equations of state for viscous fluids. Zbl 1375.35370 Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 6 2017 Differential invariants for plane flows of viscid fluids. Zbl 1373.37184 Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey 5 2017 Differential invariants for flows of viscid fluids. Zbl 1394.76038 Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 4 2017 Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006 Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V. 4 2017 Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006 Lychagin, Valentin; Yumaguzhin, Valeriy 2 2017 Möbius invariants in image recognition. Zbl 1365.53014 Konovenko, Nadiia; Lychagin, Valentin 1 2017 Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290 Lychagin, Valentin; Yumaguzhin, Valeriy 1 2017 Global Lie-Tresse theorem. Zbl 1347.53015 Kruglikov, Boris; Lychagin, Valentin 70 2016 Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011 Bibikov, P.; Lychagin, Valentin 5 2016 Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 4 2016 Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007 Konovenko, Nadiia; Lychagin, Valentin 2 2016 Invariants in relativity theory. Zbl 1332.83034 Lychagin, V.; Yumaguzhin, V. 10 2015 Lobachevskian geometry in image recognition. Zbl 1332.53017 Konovenko, N.; Lychagin, V. 1 2015 On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011 Bibikov, Pavel; Lychagin, Valentin 6 2014 Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080 Kushner, A. G.; Lychagin, V. V. 4 2013 Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051 Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V. 3 2013 On projective classification of algebraic curves. Zbl 1289.53022 Konovenko, Nadiya; Lychagin, Valentin 1 2013 On abelian group actions and Galois quantizations. Zbl 1283.53080 Huru, H. L.; Lychagin, V. V. 1 2013 Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013 Bibikov, P. V.; Lychagin, V. V. 9 2012 Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046 Kushner, Alexei G.; Lychagin, Valentin V. 4 2012 Quantizations of group actions. Zbl 1256.81067 Huru, Hilja L.; Lychagin, Valentin V. 3 2012 Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003 Lychagin, Valentin; Yumaguzhin, Valeriy 3 2012 On the Cauchy problem for the Einstein equation. Zbl 1260.35228 Lychagin, V. V.; Yumaguzhin, V. A. 2 2012 \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms. Zbl 1258.13011 Bibikov, P.; Lychagin, V. 17 2011 Projective classification of binary and ternary forms. Zbl 1230.22011 Bibikov, Pavel; Lychagin, Valentin 9 2011 \(GL_{3}(\mathbb C)\)-orbits of ternary rational forms. Zbl 1237.53011 Bibikov, P. V.; Lychagin, V. V. 6 2011 On projective classification of plane curves. Zbl 1296.53031 Konovenko, Nadiia; Lychagin, Valentin 3 2011 Feedback differential invariants. Zbl 1189.93035 Lychagin, Valentin 12 2010 Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187 Kruglikov, Boris; Lychagin, Valentin 5 2010 \(\text{GL}_{2}(\mathbb C)\)-orbits of binary forms. Zbl 1215.13005 Bibikov, P. V.; Lychagin, V. V. 4 2010 Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014 Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2010 On conformal equivalence of functions. Zbl 1240.53022 Lychagin, V. V.; Konovenko, N. G. 1 2010 Samuelson’s webs. Zbl 1202.53020 Gol’dberg, V. V.; Lychagin, V. V. 1 2010 Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033 Lychagin, V. V. 5 2009 On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010 Lychagin, V.; Yumaguzhin, V. 3 2009 Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002 1 2009 Geodesic webs of hypersurfaces. Zbl 1183.53013 Goldberg, V. V.; Lychagin, V. V. 1 2009 On rank problems for planar webs and projective structures. Zbl 1186.53017 Goldberg, Vladislav V.; Lychagin, Valentin V. 1 2009 Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation. Zbl 1225.35011 Lychagin, V.; Yumaguzhin, V. 1 2009 Geometry of differential equations. Zbl 1236.58039 Kruglikov, Boris; Lychagin, Valentin 47 2008 Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012 Huru, Hilja Lisa; Lychagin, Valentin 2 2008 Contact geometry and nonlinear differential equations. Zbl 1122.53044 Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir 118 2007 Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244 Lychagin, Valentin; Lychagina, Olga 12 2007 Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366 Kruglikov, Boris; Lychagin, Valentin 3 2007 Abelian equations and rank problems for planar webs. Zbl 1298.53016 Goldberg, V. V.; Lychagin, V. V. 1 2007 Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011 Kruglikov, Boris; Lychagin, Valentin 20 2006 On the Blaschke conjecture for 3-webs. Zbl 1104.53011 Goldberg, Vladislav V.; Lychagin, Valentin V. 13 2006 Mayer brackets and solvability of PDEs. II. Zbl 1093.35053 Kruglikov, Boris; Lychagin, Valentin 12 2006 Dimension of the solutions space of PDEs. Zbl 1200.35194 Kruglikov, Boris; Lychagin, Valentin 7 2006 Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094 Kruglikov, Boris; Lychagin, Valentin 4 2006 Maximum entropy wave functions. Zbl 1111.82025 Jakobsen, Per K.; Lychagin, Valentin V. 1 2006 On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051 Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2005 Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds. Zbl 1073.53021 Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V. 10 2004 A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004 Kruglikov, Boris; Lychagin, Valentin 5 2004 Mayer brackets and solvability of PDEs. I. Zbl 1026.35004 Kruglikov, Boris; Lychagin, Valentin 19 2002 Quantizations of differential equations. Zbl 1042.18500 Lychagin, Valentin 5 2001 Quantum mechanics on manifolds. Zbl 0930.35149 Lychagin, V. 6 1999 On equivalence of differential equations. Zbl 1122.35302 Kruglikov, Boris; Lychagin, Valentin 5 1999 Calculus and quantizations over Hopf algebras. Zbl 0914.18007 Lychagin, V. 7 1998 Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002 Lychagin, V. 10 1995 Colour calculus and colour quantizations. Zbl 0846.18006 Lychagin, V. 10 1995 The interplay between differential geometry and differential equations. Zbl 0824.00020 1 1995 Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039 Lychagin, V.; Prástaro, A. 14 1994 Braided differential operators and quantizations in \(ABC\)-categories. Zbl 0803.18005 Lychagin, Valentin 6 1994 Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071 Lychagin, Valentin; Rubtsov, Vladimir 3 1994 A classification of Monge-Ampère equations. Zbl 0789.58078 Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V. 24 1993 Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051 Zil’berglejt, L. V.; Lychagin, V. V. 3 1993 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 477 Authors 99 Lychagin, Valentin V. 39 Kruglikov, Boris S. 32 Bibikov, Pavel Vitalievich 24 Yumaguzhin, Valeriy A. 21 Kushner, Alekseĭ Gur’evich 19 Duyunova, Anna Andreevna 18 Morozov, Oleg I. 16 Prástaro, Agostino 16 Tychkov, Sergey N. 13 Vinogradov, Aleksandr Mikhaĭlovich 12 Manno, Gianni 11 Krasil’shchik, Iosif Semënovich 10 Chetverikov, Vladimir N. 8 Moreno, Giovanni 8 Roop, Mikhail D. 8 Rubtsov, Vladimir Nikolaevich 8 Tunitskiĭ, Dmitriĭ Vasil’evich 6 Ahangari, Fatemeh 6 Goldberg, Vladislav V. 6 Izumiya, Shyuichi 6 Konovenko, Nadiya G. 6 Olver, Peter John 6 Pugliese, Fabrizio 6 Schneider, Eivind 6 Valiquette, Francis 5 Alekseevskiĭ, Dmitriĭ Vladimirovich 5 Banyaga, Augustin 5 Ferapontov, Evgeny Vladimirovich 5 Gutt, Jan 5 Nadjafikhah, Mehdi 5 Shelekhov, Alexander M. 5 Vitolo, Raffaele F. 4 Akhmetzyanov, Atlas V. 4 Alonso-Blanco, Ricardo J. 4 Banos, Bertrand 4 Chrastinová, Veronika 4 Huru, Hilja Lisa 4 Kossowski, Marek 4 Krasil’shchik, Joseph 4 Lévine, Jean 4 Morando, Paola 4 Ollivier, François 4 Prykarpatsky, Anatoliy Karolevych 4 Seiler, Werner M. 4 Sergyeyev, Artur 4 Tryhuk, Václav 4 Verbovetsky, Alexander Moiseevich 3 Anderson, Ian M. 3 Baran, Hynek 3 Blackmore, Denis L. 3 Grigoriev, Maxim 3 Khavkine, Igor 3 Kulikov, Dmitriĭ Anatol’evich 3 Lando, Sergei K. 3 Marvan, Michal 3 Matviichuk, Ruslan I. 3 Mukhina, Svetlana S. 3 Ovsienko, Valentin Yu. 3 Sosinskiĭ, Alekseĭ Bronislavovich 3 Strel’tsova, I. S. 3 Takahashi, Masatomo 3 Tyapin, Nikita A. 3 Vasil’ev, Viktor Anatol’evich 3 Vershik, Anatoliĭ Moiseevich 3 Vitagliano, Luca 3 Vojčák, Petr 3 Zilbergleit, Lev V. 2 Agafonov, Sergey I. 2 Arias Amaya, Fabián A. 2 Arnaldsson, Örn 2 Bächtold, Michael Johannes 2 Beggs, Edwin J. 2 Bor, Gil 2 Bridges, Thomas J. 2 Ribeiro Castro, Alex Lúcio 2 Chardard, Frédéric 2 Chmutov, Sergei V. 2 Ciupală, Cătălin 2 Clelland, Jeanne Nielsen 2 Covolo, Tiffany 2 De Vecchi, Francesco Carlo 2 Delanoë, Philippe P. 2 Dias, Frédéric 2 Dodd, Roger K. 2 Doubrov, Boris M. 2 Fedorchuk, Vasyl M. 2 Fedorchuk, Volodymyr I. 2 Fliess, Michel 2 Gümral, Hasan 2 Ishikawa, Goo 2 Ivochkina, Nina Mikhaĭlovna 2 Kaminski, Yirmeyahu J. 2 Kaptsov, Oleg Viktorovich 2 Karev, Maksim V. 2 Khor’kova, Nina Grigor’evna 2 Khovanskiĭ, Askold Georgievich 2 Kogan, Irina A. 2 Kong, Dexing 2 Konopelchenko, Boris Georgievich 2 Kosmann-Schwarzbach, Yvette ...and 377 more Authors all top 5 Cited in 144 Serials 78 Journal of Geometry and Physics 49 Lobachevskii Journal of Mathematics 34 Differential Geometry and its Applications 28 Acta Applicandae Mathematicae 16 Mathematical Notes 15 Russian Mathematics 15 Journal of Mathematical Sciences (New York) 14 Doklady Mathematics 14 Analysis and Mathematical Physics 10 Journal of Mathematical Physics 9 Journal of Mathematical Analysis and Applications 9 Automation and Remote Control 8 Theoretical and Mathematical Physics 8 Journal of Soviet Mathematics 7 Advances in Mathematics 7 The Journal of Geometric Analysis 7 Journal of Nonlinear Mathematical Physics 6 Physics Letters. 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Analyse Non Linéaire 1 Journal of Symbolic Computation ...and 44 more Serials all top 5 Cited in 47 Fields 248 Partial differential equations (35-XX) 229 Differential geometry (53-XX) 207 Global analysis, analysis on manifolds (58-XX) 81 Dynamical systems and ergodic theory (37-XX) 58 Fluid mechanics (76-XX) 55 Ordinary differential equations (34-XX) 39 Nonassociative rings and algebras (17-XX) 34 Mechanics of particles and systems (70-XX) 28 Topological groups, Lie groups (22-XX) 23 Relativity and gravitational theory (83-XX) 21 Algebraic geometry (14-XX) 21 Manifolds and cell complexes (57-XX) 20 Several complex variables and analytic spaces (32-XX) 17 Systems theory; control (93-XX) 16 Quantum theory (81-XX) 15 Associative rings and algebras (16-XX) 14 Operator theory (47-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Commutative algebra (13-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 10 Algebraic topology (55-XX) 8 Mechanics of deformable solids (74-XX) 7 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Geometry (51-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year