Edit Profile (opens in new tab) Lychagin, Valentin V. Compute Distance To: Compute 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: 174 Publications since 1973, including 3 Books 2 Contributions as Editor Biographic References: 3 Publications Co-Authors: 65 Co-Authors with 134 Joint Publications 1,915 Co-Co-Authors all top 5 Co-Authors 42 single-authored 15 Kruglikov, Boris S. 15 Tychkov, Sergey N. 15 Yumaguzhin, Valeriy A. 14 Duyunova, Anna Andreevna 12 Kushner, Alexei G. 10 Goldberg, Vladislav V. 10 Konovenko, Nadiya G. 10 Zilbergleit, Lev V. 9 Bibikov, Pavel Vitalievich 9 Rubtsov, Vladimir Nikolaevich 8 Roop, Mikhail D. 7 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 Helemskii, Alexander Ya. 1 Kac, Victor G. 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 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 22 Journal of Geometry and Physics 19 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 84 Partial differential equations (35-XX) 79 Global analysis, analysis on manifolds (58-XX) 73 Differential geometry (53-XX) 30 Fluid mechanics (76-XX) 15 Category theory; homological algebra (18-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Nonassociative rings and algebras (17-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 8 Relativity and gravitational theory (83-XX) 7 Algebraic topology (55-XX) 7 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 6 Systems theory; control (93-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) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-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 Statistical mechanics, structure of matter (82-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 Mechanics of deformable solids (74-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 116 Publications have been cited 886 times in 470 Documents Cited by ▼ Year ▼ Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M. 88 1986 Contact geometry and nonlinear differential equations. Zbl 1122.53044Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir 77 2007 Global Lie-Tresse theorem. Zbl 1347.53015Kruglikov, Boris; Lychagin, Valentin 54 2016 Geometry of differential equations. Zbl 1236.58039Kruglikov, Boris; Lychagin, Valentin 42 2008 Contact geometry and non-linear second-order differential equations. Zbl 0427.58002Lychagin, V. V. 34 1979 Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V. 29 1986 Local classification of non-linear first order partial differential equations. Zbl 0315.35027Lycagin, V. V. 25 1975 A classification of Monge-Ampère equations. Zbl 0789.58078Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V. 20 1993 Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011Kruglikov, Boris; Lychagin, Valentin 19 2006 Mayer brackets and solvability of PDEs. I. Zbl 1026.35004Kruglikov, Boris; Lychagin, Valentin 18 2002 Basic ideas and concepts of differential geometry. Zbl 0735.53001Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V. 17 1988 Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008Lychagin, V. V. 17 1985 Basic ideas and notions from differential geometry. Zbl 0675.53001Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V. 16 1988 \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms. Zbl 1258.13011Bibikov, P.; Lychagin, V. 15 2011 Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001Duzhin, S. V.; Lychagin, V. V. 14 1991 Mayer brackets and solvability of PDEs. II. Zbl 1093.35053Kruglikov, Boris; Lychagin, Valentin 12 2006 Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039Lychagin, V.; Prástaro, A. 12 1994 Feedback differential invariants. Zbl 1189.93035Lychagin, Valentin 12 2010 On the Blaschke conjecture for 3-webs. Zbl 1104.53011Goldberg, Vladislav V.; Lychagin, Valentin V. 11 2006 On Sophus Lie’s theorems for the Monge-Ampère equations. Zbl 0526.58002Lychagin, V. V.; Rubtsov, V. N. 11 1983 Contact geometry, measurement, and thermodynamics. Zbl 1428.53111Lychagin, Valentin V. 11 2019 Colour calculus and colour quantizations. Zbl 0846.18006Lychagin, V. 10 1995 Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056Lychagin, V. V. 10 1990 Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244Lychagin, Valentin; Lychagina, Olga 10 2007 Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds. Zbl 1073.53021Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V. 9 2004 Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013Bibikov, P. V.; Lychagin, V. V. 9 2012 On sufficient orbits of a group of contact diffeomorphisms. Zbl 0412.58019Lychagin, V. V. 9 1977 Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002Lychagin, V. 9 1995 Invariants in relativity theory. Zbl 1332.83034Lychagin, V.; Yumaguzhin, V. 8 2015 Projective classification of binary and ternary forms. Zbl 1230.22011Bibikov, Pavel; Lychagin, Valentin 7 2011 Critical phenomena in filtration processes of real gases. Zbl 1453.80004Lychagin, V. V.; Roop, M. D. 7 2020 Calculus and quantizations over Hopf algebras. Zbl 0914.18007Lychagin, V. 7 1998 Classification of the second order linear differential operators and differential equations. Zbl 1394.35017Lychagin, Valentin; Yumaguzhin, Valeriy 6 2018 On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011Bibikov, Pavel; Lychagin, Valentin 6 2014 \(GL_{3}(\mathbb C)\)-orbits of ternary rational forms. Zbl 1237.53011Bibikov, P. V.; Lychagin, V. V. 6 2011 Braided differential operators and quantizations in \(ABC\)-categories. Zbl 0803.18005Lychagin, Valentin 6 1994 Classification of equations of state for viscous fluids. Zbl 1375.35370Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 6 2017 Geometric singularities of solutions of nonlinear differential equations. Zbl 0546.35014Lychagin, V. V. 6 1981 The geometry and topology of shock waves. Zbl 0549.58015Lychagin, V. V. 6 1982 Local classification of Monge-Ampère differential equations. Zbl 0555.35016Lychagin, V. V.; Rubtsov, V. N. 6 1983 Dimension of the solutions space of PDEs. Zbl 1200.35194Kruglikov, Boris; Lychagin, Valentin 6 2006 Lectures on geometry of Monge-Ampère equations with Maple. Zbl 1447.35005Kushner, Alexei; Lychagin, Valentin V.; Slovák, Jan 5 2019 Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253Lychagin, Valentin; Roop, Mikhail 5 2019 Differential invariants for plane flows of viscid fluids. Zbl 1373.37184Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey 5 2017 Attractors in models of porous media flow. Zbl 1368.35038Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 5 2017 Quantizations of differential equations. Zbl 1042.18500Lychagin, Valentin 5 2001 Quantum mechanics on manifolds. Zbl 0930.35149Lychagin, V. 5 1999 Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033Lychagin, V. V. 5 2009 Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187Kruglikov, Boris; Lychagin, Valentin 5 2010 Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080Kushner, A. G.; Lychagin, V. V. 4 2013 On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2005 Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 4 2016 Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011Bibikov, P.; Lychagin, Valentin 4 2016 Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046Kushner, Alexei G.; Lychagin, Valentin V. 4 2012 Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094Kruglikov, Boris; Lychagin, Valentin 4 2006 \(\text{GL}_{2}(\mathbb C)\)-orbits of binary forms. Zbl 1215.13005Bibikov, P. V.; Lychagin, V. V. 4 2010 Differential invariants for flows of viscid fluids. Zbl 1394.76038Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 4 2017 Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039Lychagin, V. V. 4 1987 On equivalence of differential equations. Zbl 1122.35302Kruglikov, Boris; Lychagin, Valentin 4 1999 Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003Lychagin, Valentin; Yumaguzhin, Valeriy 3 2012 Quantizations of group actions. Zbl 1256.81067Huru, Hilja L.; Lychagin, Valentin V. 3 2012 Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366Kruglikov, Boris; Lychagin, Valentin 3 2007 On projective classification of plane curves. Zbl 1296.53031Konovenko, Nadiia; Lychagin, Valentin 3 2011 Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V. 3 2013 Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V. 3 2017 Kontaktgeometrie und nichtlineare Differentialgleichungen zweiter Ordnung. Zbl 0405.58003Lycagin, V. V. 3 1979 On sufficient orbits of a group of contact diffeomorphisms. Zbl 0405.58030Lycagin, V. V. 3 1977 On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027Lychagin, Valentin; Yumaguzhin, Valeriy 3 2019 A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004Kruglikov, Boris; Lychagin, Valentin 3 2004 Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051Zil’berglejt, L. V.; Lychagin, V. V. 3 1993 Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N. 3 2019 On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010Lychagin, V.; Yumaguzhin, V. 3 2009 Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071Duyunova, A.; Lychagin, V.; Tychkov, S. 3 2020 On structure of linear differential operators, acting on line bundles. Zbl 1480.58016Lychagin, Valentin; Yumaguzhin, Valeriy 3 2020 Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 2 2018 Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012Huru, Hilja Lisa; Lychagin, Valentin 2 2008 Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007Konovenko, Nadiia; Lychagin, Valentin 2 2016 Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Differential equations on two-dimensional manifolds. Zbl 0899.58062Lychagin, V. V. 2 1992 Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071Lychagin, Valentin; Rubtsov, Vladimir 2 1994 Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Symmetry classification of viscid flows on space curves. Zbl 1456.53079Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2021 On the singularities of solutions of differential equations. Zbl 0475.58026Lychagin, V. V. 2 1980 Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044Lychagin, V. V. 2 1988 Characteristic classes of solutions of differential equations. Zbl 0541.58006Lychagin, V. V. 2 1983 Differential operators on fiber spaces. Zbl 0555.58029Lychagin, V. V. 2 1985 Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006Lychagin, Valentin; Yumaguzhin, Valeriy 2 2017 On the Cauchy problem for the Einstein equation. Zbl 1260.35228Lychagin, V. V.; Yumaguzhin, V. A. 2 2012 Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014Goldberg, Vladislav V.; Lychagin, Valentin V. 2 2010 Real gas flows issued from a source. Zbl 1428.76185Lychagin, Valentin; Roop, Mikhail 2 2020 Invariants for primary visual cortex. Zbl 1405.53038Konovenko, Nadiia; Lychagin, Valentin 1 2018 Samuelson’s webs. Zbl 1202.53020Gol’dberg, V. V.; Lychagin, V. V. 1 2010 Maximum entropy wave functions. Zbl 1111.82025Jakobsen, Per K.; Lychagin, Valentin V. 1 2006 Abelian equations and rank problems for planar webs. Zbl 1298.53016Goldberg, V. V.; Lychagin, V. V. 1 2007 Lobachevskian geometry in image recognition. Zbl 1332.53017Konovenko, N.; Lychagin, V. 1 2015 On abelian group actions and Galois quantizations. Zbl 1283.53080Huru, H. L.; Lychagin, V. V. 1 2013 Differential invariants for plane flows of inviscid fluids. Zbl 1390.35245Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2018 Contact geometry in optimal control of thermodynamic processes for gases. Zbl 07424625Kushner, A. G.; Lychagin, V. V.; Roop, M. D. 1 2020 Continuum mechanics of media with inner structures. Zbl 1459.35309Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2021 On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018Lychagin, Valentin 1 2020 Symmetry classification of viscid flows on space curves. Zbl 1456.53079Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2021 Continuum mechanics of media with inner structures. Zbl 1459.35309Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2021 Critical phenomena in Darcy and Euler flows of real gases. Zbl 1503.35145Lychagin, Valentin V.; Roop, Mikhail D. 1 2021 Differential invariants for flows of fluids and gases. Zbl 1503.35129Duyunova, Anna; Lychagin, Valentin V.; Tychkov, Sergey 1 2021 Critical phenomena in filtration processes of real gases. Zbl 1453.80004Lychagin, V. V.; Roop, M. D. 7 2020 Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071Duyunova, A.; Lychagin, V.; Tychkov, S. 3 2020 On structure of linear differential operators, acting on line bundles. Zbl 1480.58016Lychagin, Valentin; Yumaguzhin, Valeriy 3 2020 Real gas flows issued from a source. Zbl 1428.76185Lychagin, Valentin; Roop, Mikhail 2 2020 Contact geometry in optimal control of thermodynamic processes for gases. Zbl 07424625Kushner, A. G.; Lychagin, V. V.; Roop, M. D. 1 2020 On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018Lychagin, Valentin 1 2020 Shock waves in Euler flows of gases. Zbl 1458.35316Lychagin, V. V.; Roop, M. D. 1 2020 Contact geometry, measurement, and thermodynamics. Zbl 1428.53111Lychagin, Valentin V. 11 2019 Lectures on geometry of Monge-Ampère equations with Maple. Zbl 1447.35005Kushner, Alexei; Lychagin, Valentin V.; Slovák, Jan 5 2019 Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253Lychagin, Valentin; Roop, Mikhail 5 2019 On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027Lychagin, Valentin; Yumaguzhin, Valeriy 3 2019 Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N. 3 2019 Classification of the second order linear differential operators and differential equations. Zbl 1394.35017Lychagin, Valentin; Yumaguzhin, Valeriy 6 2018 Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 2 2018 Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 2 2018 Invariants for primary visual cortex. Zbl 1405.53038Konovenko, Nadiia; Lychagin, Valentin 1 2018 Differential invariants for plane flows of inviscid fluids. Zbl 1390.35245Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 1 2018 Classification of equations of state for viscous fluids. Zbl 1375.35370Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N. 6 2017 Differential invariants for plane flows of viscid fluids. Zbl 1373.37184Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey 5 2017 Attractors in models of porous media flow. Zbl 1368.35038Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 5 2017 Differential invariants for flows of viscid fluids. Zbl 1394.76038Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey 4 2017 Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V. 3 2017 Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006Lychagin, Valentin; Yumaguzhin, Valeriy 2 2017 Möbius invariants in image recognition. Zbl 1365.53014Konovenko, Nadiia; Lychagin, Valentin 1 2017 Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290Lychagin, Valentin; Yumaguzhin, Valeriy 1 2017 Global Lie-Tresse theorem. Zbl 1347.53015Kruglikov, Boris; Lychagin, Valentin 54 2016 Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V. 4 2016 Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011Bibikov, P.; Lychagin, Valentin 4 2016 Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007Konovenko, Nadiia; Lychagin, Valentin 2 2016 Invariants in relativity theory. Zbl 1332.83034Lychagin, V.; Yumaguzhin, V. 8 2015 Lobachevskian geometry in image recognition. Zbl 1332.53017Konovenko, N.; Lychagin, V. 1 2015 On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011Bibikov, Pavel; Lychagin, Valentin 6 2014 Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080Kushner, A. G.; Lychagin, V. V. 4 2013 Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V. 3 2013 On abelian group actions and Galois quantizations. Zbl 1283.53080Huru, H. L.; Lychagin, V. V. 1 2013 On projective classification of algebraic curves. Zbl 1289.53022Konovenko, Nadiya; Lychagin, Valentin 1 2013 Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013Bibikov, P. V.; Lychagin, V. V. 9 2012 Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046Kushner, Alexei G.; Lychagin, Valentin V. 4 2012 Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003Lychagin, Valentin; Yumaguzhin, Valeriy 3 2012 Quantizations of group actions. Zbl 1256.81067Huru, Hilja L.; Lychagin, Valentin V. 3 2012 On the Cauchy problem for the Einstein equation. Zbl 1260.35228Lychagin, V. V.; Yumaguzhin, V. A. 2 2012 \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms. Zbl 1258.13011Bibikov, P.; Lychagin, V. 15 2011 Projective classification of binary and ternary forms. Zbl 1230.22011Bibikov, Pavel; Lychagin, Valentin 7 2011 \(GL_{3}(\mathbb C)\)-orbits of ternary rational forms. Zbl 1237.53011Bibikov, P. V.; Lychagin, V. V. 6 2011 On projective classification of plane curves. Zbl 1296.53031Konovenko, Nadiia; Lychagin, Valentin 3 2011 Feedback differential invariants. Zbl 1189.93035Lychagin, Valentin 12 2010 Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187Kruglikov, Boris; Lychagin, Valentin 5 2010 \(\text{GL}_{2}(\mathbb C)\)-orbits of binary forms. Zbl 1215.13005Bibikov, P. V.; Lychagin, V. V. 4 2010 Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014Goldberg, Vladislav V.; Lychagin, Valentin V. 2 2010 Samuelson’s webs. Zbl 1202.53020Gol’dberg, V. V.; Lychagin, V. V. 1 2010 On conformal equivalence of functions. Zbl 1240.53022Lychagin, V. V.; Konovenko, N. G. 1 2010 Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033Lychagin, V. V. 5 2009 On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010Lychagin, V.; Yumaguzhin, V. 3 2009 Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation. Zbl 1225.35011Lychagin, V.; Yumaguzhin, V. 1 2009 On rank problems for planar webs and projective structures. Zbl 1186.53017Goldberg, Vladislav V.; Lychagin, Valentin V. 1 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 1183.53013Goldberg, V. V.; Lychagin, V. V. 1 2009 Geometry of differential equations. Zbl 1236.58039Kruglikov, Boris; Lychagin, Valentin 42 2008 Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012Huru, Hilja Lisa; Lychagin, Valentin 2 2008 Contact geometry and nonlinear differential equations. Zbl 1122.53044Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir 77 2007 Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244Lychagin, Valentin; Lychagina, Olga 10 2007 Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366Kruglikov, Boris; Lychagin, Valentin 3 2007 Abelian equations and rank problems for planar webs. Zbl 1298.53016Goldberg, V. V.; Lychagin, V. V. 1 2007 Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011Kruglikov, Boris; Lychagin, Valentin 19 2006 Mayer brackets and solvability of PDEs. II. Zbl 1093.35053Kruglikov, Boris; Lychagin, Valentin 12 2006 On the Blaschke conjecture for 3-webs. Zbl 1104.53011Goldberg, Vladislav V.; Lychagin, Valentin V. 11 2006 Dimension of the solutions space of PDEs. Zbl 1200.35194Kruglikov, Boris; Lychagin, Valentin 6 2006 Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094Kruglikov, Boris; Lychagin, Valentin 4 2006 Maximum entropy wave functions. Zbl 1111.82025Jakobsen, Per K.; Lychagin, Valentin V. 1 2006 On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051Goldberg, Vladislav V.; Lychagin, Valentin V. 4 2005 Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds. Zbl 1073.53021Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V. 9 2004 A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004Kruglikov, Boris; Lychagin, Valentin 3 2004 Mayer brackets and solvability of PDEs. I. Zbl 1026.35004Kruglikov, Boris; Lychagin, Valentin 18 2002 Quantizations of differential equations. Zbl 1042.18500Lychagin, Valentin 5 2001 Quantum mechanics on manifolds. Zbl 0930.35149Lychagin, V. 5 1999 On equivalence of differential equations. Zbl 1122.35302Kruglikov, Boris; Lychagin, Valentin 4 1999 Calculus and quantizations over Hopf algebras. Zbl 0914.18007Lychagin, V. 7 1998 Colour calculus and colour quantizations. Zbl 0846.18006Lychagin, V. 10 1995 Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002Lychagin, V. 9 1995 Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039Lychagin, V.; Prástaro, A. 12 1994 Braided differential operators and quantizations in \(ABC\)-categories. Zbl 0803.18005Lychagin, Valentin 6 1994 Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071Lychagin, Valentin; Rubtsov, Vladimir 2 1994 A classification of Monge-Ampère equations. Zbl 0789.58078Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V. 20 1993 Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051Zil’berglejt, L. V.; Lychagin, V. V. 3 1993 Differential equations on two-dimensional manifolds. Zbl 0899.58062Lychagin, V. V. 2 1992 Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations. Zbl 0801.58043Lychagin, V. V. 1 1992 Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001Duzhin, S. V.; Lychagin, V. V. 14 1991 Solvability of Fuchsian equations depending on a parameter. Zbl 0778.34005Lychagin, V. V. 1 1991 Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056Lychagin, V. V. 10 1990 Nonholonomic intermediate integrals of partial differential equations. Zbl 0788.35093Lychagin, V. V.; Romanovskij, Yu. R. 1 1990 Basic ideas and concepts of differential geometry. Zbl 0735.53001Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V. 17 1988 Basic ideas and notions from differential geometry. Zbl 0675.53001Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V. 16 1988 Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044Lychagin, V. V. 2 1988 Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039Lychagin, V. V. 4 1987 Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M. 88 1986 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 364 Authors 87 Lychagin, Valentin V. 36 Kruglikov, Boris S. 32 Bibikov, Pavel Vitalievich 20 Kushner, Alexei G. 20 Yumaguzhin, Valeriy A. 16 Duyunova, Anna Andreevna 14 Prástaro, Agostino 14 Tychkov, Sergey N. 13 Morozov, Oleg I. 13 Vinogradov, Aleksandr Mikhaĭlovich 10 Manno, Gianni 8 Chetverikov, Vladimir N. 8 Roop, Mikhail D. 6 Goldberg, Vladislav V. 6 Krasil’shchik, Iosif Semënovich 6 Rubtsov, Vladimir Nikolaevich 6 Tunitskiĭ, Dmitriĭ Vasil’evich 5 Alekseevskiĭ, Dmitriĭ Vladimirovich 5 Banyaga, Augustin 5 Ferapontov, Evgeny Vladimirovich 5 Izumiya, Shyuichi 5 Konovenko, Nadiya G. 5 Pugliese, Fabrizio 4 Akhmetzyanov, Atlas V. 4 Banos, Bertrand 4 Huru, Hilja Lisa 4 Kossowski, Marek 4 Krasil’shchik, Joseph 4 Moreno, Giovanni 4 Schneider, Eivind 4 Seiler, Werner M. 4 Sergyeyev, Artur 4 Shelekhov, Alexander M. 4 Valiquette, Francis 4 Vitolo, Raffaele F. 3 Alonso-Blanco, Ricardo J. 3 Chrastinová, Veronika 3 Fedorchuk, Vasyl M. 3 Fedorchuk, Volodymyr I. 3 Khavkine, Igor 3 Lévine, Jean 3 Matviichuk, Ruslan I. 3 Morando, Paola 3 Nadjafikhah, Mehdi 3 Ollivier, François 3 Olver, Peter John 3 Ovsienko, Valentin Yu. 3 Takahashi, Masatomo 3 Tryhuk, Václav 3 Tyapin, Nikita A. 3 Verbovetsky, Alexander Moiseevich 3 Zilbergleit, Lev V. 2 Ahangari, Fatemeh 2 Anderson, Ian M. 2 Arias Amaya, Fabián A. 2 Arnaldsson, Örn 2 Beggs, Edwin J. 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 Dias, Frédéric 2 Doubrov, Boris M. 2 Fliess, Michel 2 Gümral, Hasan 2 Gutt, Jan 2 Ishikawa, Goo 2 Ivochkina, Nina Mikhaĭlovna 2 Kaptsov, Oleg Viktorovich 2 Karev, Maksim V. 2 Khovanskiĭ, Askold Georgievich 2 Kogan, Irina A. 2 Kong, Dexing 2 Konopelchenko, Boris Georgievich 2 Kulikov, Anatoliĭ Nikolaevich 2 Kulikov, Dmitriĭ Anatol’evich 2 Lando, Sergei K. 2 Lelito, Aleksandra 2 Li, Bing 2 Lychagina, O. V. 2 Malakhaltsev, Mikhail Armenovich 2 Malakhov, Alexander 2 Marmo, Giuseppe 2 Martin, Philippe 2 Marvan, Michal 2 Matveev, Vladimir S. 2 McNutt, David Duncan 2 Mettler, Thomas 2 Mnëv, Nikolai Evgen’evich 2 Morier-Genoud, Sophie 2 Muzsnay, Zoltán 2 Ngakeu, Ferdinand 2 Novikov, Vladimir S. 2 Orlova, L. N. 2 Panina, Gaiane Yu. 2 Poncin, Norbert 2 Prykarpatsky, Anatoliy Karolevych ...and 264 more Authors all top 5 Cited in 120 Serials 65 Journal of Geometry and Physics 37 Lobachevskii Journal of Mathematics 30 Differential Geometry and its Applications 28 Acta Applicandae Mathematicae 16 Mathematical Notes 15 Journal of Mathematical Sciences (New York) 14 Doklady Mathematics 14 Analysis and Mathematical Physics 13 Russian Mathematics 10 Journal of Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Theoretical and Mathematical Physics 8 Journal of Soviet Mathematics 8 Automation and Remote Control 6 Advances in Mathematics 6 Journal of Differential Equations 6 International Journal of Geometric Methods in Modern Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Transactions of the American Mathematical Society 4 Communications in Mathematical Physics 4 Physics Letters. A 4 Reports on Mathematical Physics 4 Annals of Global Analysis and Geometry 4 Physica D 4 Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 3 Functional Analysis and its Applications 3 Proceedings of the American Mathematical Society 3 Mathematical and Computer Modelling 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamical and Control Systems 3 Journal of Nonlinear Mathematical Physics 3 Central European Journal of Mathematics 2 Classical and Quantum Gravity 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Matematički Vesnik 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Systems & Control Letters 2 Selecta Mathematica. New Series 2 Sbornik: Mathematics 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Journal of Geometric Mechanics 2 Mathematical Sciences 1 International Journal of Modern Physics A 1 Applicable Analysis 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archivum Mathematicum 1 Geometriae Dedicata 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Programming and Computer Software 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Algorithmica 1 Computational Mathematics and Modeling 1 Mathematica Bohemica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Acta Mathematica Sinica. New Series 1 Journal of Knot Theory and its Ramifications 1 Vestnik St. Petersburg University. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Journal of Lie Theory 1 Izvestiya: Mathematics 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Regular and Chaotic Dynamics 1 Russian Physics Journal ...and 20 more Serials all top 5 Cited in 44 Fields 202 Partial differential equations (35-XX) 190 Differential geometry (53-XX) 170 Global analysis, analysis on manifolds (58-XX) 64 Dynamical systems and ergodic theory (37-XX) 46 Ordinary differential equations (34-XX) 45 Fluid mechanics (76-XX) 32 Nonassociative rings and algebras (17-XX) 21 Topological groups, Lie groups (22-XX) 21 Mechanics of particles and systems (70-XX) 19 Relativity and gravitational theory (83-XX) 17 Manifolds and cell complexes (57-XX) 16 Algebraic geometry (14-XX) 15 Associative rings and algebras (16-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Quantum theory (81-XX) 12 Commutative algebra (13-XX) 12 Systems theory; control (93-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Operator theory (47-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 7 Algebraic topology (55-XX) 7 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year