×

zbMATH — the first resource for mathematics

Ovsyannikov, Lev Vasil’evich

Compute Distance To:
Author ID: ovsyannikov.lev-vasilevich Recent zbMATH articles by "Ovsyannikov, Lev Vasil’evich"
Published as: Ovsyannikov, L. V.; Ovsyannikov, Lev Vasil’evich; Ovsiannikov, L. V.; Ovsyannikov, Lev Vasil’yevich
External Links: MGP · Wikidata · Math-Net.Ru · GND
Documents Indexed: 77 Publications since 1949, including 10 Books
Biographic References: 6 Publications

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 1,402 times in 1,287 Documents Cited by Year
Group analysis of differential equations. Transl. from the Russian ed. by W. F. Ames. Zbl 0485.58002
Ovsiannikov, L. V.
837
1982
Group analysis of differential equations. (Gruppovoj analiz differentsial’nykh uravnenij). Zbl 0484.58001
Ovsyannikov, L. V.
256
1978
Lectures on the fundamentals of gas dynamics. Textbook. (Lektsii po osnovam gazovoj dinamiki. Uchebnoe posobie). Zbl 0539.76079
Ovsyannikov, L. V.
62
1981
The “PODMODELI” program. Gas dynamics. Zbl 0890.76070
Ovsyannikov, L. V.
31
1994
Group relations of the equation of nonlinear conductivity. Zbl 0092.09903
Ovsyannikov, L. V.
28
1959
A nonlinear Cauchy problem in a scale of Banach spaces. Zbl 0234.35018
Ovsyannikov, L. V.
22
1971
A singular operator in a scale of Banach spaces. Zbl 0144.39003
Ovsyannikov, L. V.
18
1965
To the shallow water theory foundation. Zbl 0283.76012
Ovsyannikov, L. V.
18
1974
Singular vortex. Zbl 0999.76522
Ovsyannikov, L. V.
12
1995
A new solution of the hydrodynamic equations. Zbl 0073.41704
Ovsyannikov, L. V.
11
1956
Hierarchy of invariant submodels of differential equations. Zbl 0962.35008
Ovsyannikov, L. V.
8
1998
Groups and invariant-group solutions of differential equations. Zbl 0084.08602
Ovsyannikov, L. V.
7
1958
Regular partially invariant submodels of equations of gas dynamics. Zbl 1040.76518
Ovsyannikov, L. V.; Chupakhin, A. P.
6
1996
Nonlinear problems of the theory of surface and internal waves. (Нелинейные проблемы теории поверхностных и внутренних волн.) Zbl 0613.76012
Ovsyannikov, L. V. (ed.); Monakhov, V. N. (ed.)
6
1985
Some results of the implementation of the “Podmodeli” program for the gas dynamics equations. Zbl 0947.76070
Ovsyannikov, L. V.
6
1999
“Simple” solutions to the dynamics equations for a polytropic gas. Zbl 0954.76082
Ovsyannikov, L. V.
6
1999
Non-local Cauchy problems in fluid dynamics. Zbl 0228.76020
Ovsiannikov, L. V.
5
1971
Analytic groups: Introduction to the theory of infinite continuous transformation groups. (Analiticheskie gruppy: Vvedenie v teoriyu beskonechnykh nepreryvnykh grupp preobrazovanij). Zbl 0489.22021
Ovsyannikov, L. V.
5
1972
A general solution of renormalization group equations. Zbl 0073.44803
Ovsyannikov, L. V.
4
1956
Two-dimensional gas flows with closed stream lines. Zbl 1065.76583
Ovsyannikov, L. V.
4
1998
Gruppeneigenschaften der Chaplygin-Gleichung. Zbl 1307.35012
Ovsyannikov, L. V.
4
1960
All-Union conference. Lavrent’ev lectures on mathematics, mechanics and physics. Abstracts of the lectures. September 6-10, 1982. (Vsesoyuznaya konferentsiya. Lavrent’evskie chteniya po matematike, mekhanike i fizike. Tezisy dokladov. 6-10 sentyabrya 1982 g.). Zbl 0521.00009
Ovsyannikov, L. V. (ed.)
4
1982
Cauchy problem in a scale of Banach spaces. Zbl 1297.35303
Ovsyannikov, L. V.
4
2013
Regular and nonregular partially invariant solutions. Zbl 0880.35008
Ovsyannikov, L. V.
3
1995
Isobaric gas motions. Zbl 0851.76078
Ovsyannikov, L. V.
3
1994
Group classification of equations of the form \(y''= f(x,y)\). Zbl 1057.34024
Ovsyannikov, L. V.
3
2004
On the property of \(x\)-autonomy. Zbl 0828.35006
Ovsyannikov, L. V.
3
1993
Concerning the asymptotic representation of solitary waves. Zbl 0850.76089
Ovsyannikov, L. V.
3
1991
Abstract form of the Cauchy-Kovalevskaya theorem and its applications. Zbl 0488.35003
Ovsyannikov, L. V.
3
1980
On the optimal systems of subalgebras. Zbl 1113.34306
Ovsyannikov, L. V.
2
1994
On optimal systems of subalgebras. Zbl 0827.17007
Ovsyannikov, L. V.
2
1993
The Cauchy-Poisson problem on a sphere. Zbl 0354.76009
Ovsyannikov, L. V.
2
1976
Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002
Ovsyannikov, L. V.
2
2013
Infinite groups of mappings given by differential equations. Zbl 0123.06701
Ovsyannikov, L. V.
1
1963
Regular submodels of type \((2,1)\) of the equations of gas dynamics. Zbl 1031.76549
Ovsyannikov, L. V.
1
1996
Invariant integral conservation laws. Zbl 0907.35083
Ovsyannikov, L. V.
1
1996
Partly invariant solutions of the equations admitting a group. Zbl 0143.13203
Ovsyannikov, L. V.
1
1966
The group analysis algorithms. Zbl 0832.35004
Ovsiannikov, L. V.
1
1993
On periodic motions of a gas. Zbl 1046.76040
Ovsyannikov, L. V.
1
2001
Group properties of the hydrodynamic equations. Zbl 0145.34903
Ovsyannikov, L. V.
1
1964
Partial invariance. Zbl 0199.25301
Ovsyannikov, L. V.
1
1969
Determination of the group of a linear second order differential equation. Zbl 0104.07002
Ovsyannikov, L. V.
1
1960
A gas pendulum. Zbl 0999.76112
Ovsyannikov, L. V.
1
2000
Regular partially invariant submodels of gas dynamics equations. Zbl 0937.35138
Ovsyannikov, L. V.; Chupakhin, A. P.
1
1995
Nikolaj Nikolaevich Yanenko (obituary). Zbl 0559.01021
Dulov, V. G.; Novikov, S. P.; Ovsyannikov, L. V.; Rozhdestvenskij, B. L.; Samarskij, A. A.; Shokin, Yu. I.
1
1984
Cauchy problem in a scale of Banach spaces. Zbl 1297.35303
Ovsyannikov, L. V.
4
2013
Lectures on the theory of group properties of differential equations. Edited by Nail H. Ibragimov. Zbl 1282.34002
Ovsyannikov, L. V.
2
2013
Group classification of equations of the form \(y''= f(x,y)\). Zbl 1057.34024
Ovsyannikov, L. V.
3
2004
On periodic motions of a gas. Zbl 1046.76040
Ovsyannikov, L. V.
1
2001
A gas pendulum. Zbl 0999.76112
Ovsyannikov, L. V.
1
2000
Some results of the implementation of the “Podmodeli” program for the gas dynamics equations. Zbl 0947.76070
Ovsyannikov, L. V.
6
1999
“Simple” solutions to the dynamics equations for a polytropic gas. Zbl 0954.76082
Ovsyannikov, L. V.
6
1999
Hierarchy of invariant submodels of differential equations. Zbl 0962.35008
Ovsyannikov, L. V.
8
1998
Two-dimensional gas flows with closed stream lines. Zbl 1065.76583
Ovsyannikov, L. V.
4
1998
Regular partially invariant submodels of equations of gas dynamics. Zbl 1040.76518
Ovsyannikov, L. V.; Chupakhin, A. P.
6
1996
Regular submodels of type \((2,1)\) of the equations of gas dynamics. Zbl 1031.76549
Ovsyannikov, L. V.
1
1996
Invariant integral conservation laws. Zbl 0907.35083
Ovsyannikov, L. V.
1
1996
Singular vortex. Zbl 0999.76522
Ovsyannikov, L. V.
12
1995
Regular and nonregular partially invariant solutions. Zbl 0880.35008
Ovsyannikov, L. V.
3
1995
Regular partially invariant submodels of gas dynamics equations. Zbl 0937.35138
Ovsyannikov, L. V.; Chupakhin, A. P.
1
1995
The “PODMODELI” program. Gas dynamics. Zbl 0890.76070
Ovsyannikov, L. V.
31
1994
Isobaric gas motions. Zbl 0851.76078
Ovsyannikov, L. V.
3
1994
On the optimal systems of subalgebras. Zbl 1113.34306
Ovsyannikov, L. V.
2
1994
On the property of \(x\)-autonomy. Zbl 0828.35006
Ovsyannikov, L. V.
3
1993
On optimal systems of subalgebras. Zbl 0827.17007
Ovsyannikov, L. V.
2
1993
The group analysis algorithms. Zbl 0832.35004
Ovsiannikov, L. V.
1
1993
Concerning the asymptotic representation of solitary waves. Zbl 0850.76089
Ovsyannikov, L. V.
3
1991
Nonlinear problems of the theory of surface and internal waves. (Нелинейные проблемы теории поверхностных и внутренних волн.) Zbl 0613.76012
Ovsyannikov, L. V.; Monakhov, V. N.
6
1985
Nikolaj Nikolaevich Yanenko (obituary). Zbl 0559.01021
Dulov, V. G.; Novikov, S. P.; Ovsyannikov, L. V.; Rozhdestvenskij, B. L.; Samarskij, A. A.; Shokin, Yu. I.
1
1984
Group analysis of differential equations. Transl. from the Russian ed. by W. F. Ames. Zbl 0485.58002
Ovsiannikov, L. V.
837
1982
All-Union conference. Lavrent’ev lectures on mathematics, mechanics and physics. Abstracts of the lectures. September 6-10, 1982. (Vsesoyuznaya konferentsiya. Lavrent’evskie chteniya po matematike, mekhanike i fizike. Tezisy dokladov. 6-10 sentyabrya 1982 g.). Zbl 0521.00009
Ovsyannikov, L. V.
4
1982
Lectures on the fundamentals of gas dynamics. Textbook. (Lektsii po osnovam gazovoj dinamiki. Uchebnoe posobie). Zbl 0539.76079
Ovsyannikov, L. V.
62
1981
Abstract form of the Cauchy-Kovalevskaya theorem and its applications. Zbl 0488.35003
Ovsyannikov, L. V.
3
1980
Group analysis of differential equations. (Gruppovoj analiz differentsial’nykh uravnenij). Zbl 0484.58001
Ovsyannikov, L. V.
256
1978
The Cauchy-Poisson problem on a sphere. Zbl 0354.76009
Ovsyannikov, L. V.
2
1976
To the shallow water theory foundation. Zbl 0283.76012
Ovsyannikov, L. V.
18
1974
Analytic groups: Introduction to the theory of infinite continuous transformation groups. (Analiticheskie gruppy: Vvedenie v teoriyu beskonechnykh nepreryvnykh grupp preobrazovanij). Zbl 0489.22021
Ovsyannikov, L. V.
5
1972
A nonlinear Cauchy problem in a scale of Banach spaces. Zbl 0234.35018
Ovsyannikov, L. V.
22
1971
Non-local Cauchy problems in fluid dynamics. Zbl 0228.76020
Ovsiannikov, L. V.
5
1971
Partial invariance. Zbl 0199.25301
Ovsyannikov, L. V.
1
1969
Partly invariant solutions of the equations admitting a group. Zbl 0143.13203
Ovsyannikov, L. V.
1
1966
A singular operator in a scale of Banach spaces. Zbl 0144.39003
Ovsyannikov, L. V.
18
1965
Group properties of the hydrodynamic equations. Zbl 0145.34903
Ovsyannikov, L. V.
1
1964
Infinite groups of mappings given by differential equations. Zbl 0123.06701
Ovsyannikov, L. V.
1
1963
Gruppeneigenschaften der Chaplygin-Gleichung. Zbl 1307.35012
Ovsyannikov, L. V.
4
1960
Determination of the group of a linear second order differential equation. Zbl 0104.07002
Ovsyannikov, L. V.
1
1960
Group relations of the equation of nonlinear conductivity. Zbl 0092.09903
Ovsyannikov, L. V.
28
1959
Groups and invariant-group solutions of differential equations. Zbl 0084.08602
Ovsyannikov, L. V.
7
1958
A new solution of the hydrodynamic equations. Zbl 0073.41704
Ovsyannikov, L. V.
11
1956
A general solution of renormalization group equations. Zbl 0073.44803
Ovsyannikov, L. V.
4
1956
all top 5

Cited by 1,194 Authors

39 Popovych, Roman O.
33 Sophocleous, Christodoulos
31 Meleshko, Sergey V.
28 Khalique, Chaudry Masood
20 Oliveri, Francesco
19 Khabirov, Salavat Valeevich
18 Mahomed, Fazal M.
17 Cherniha, Roman M.
16 Bihlo, Alexander
16 Chupakhin, Aleksandr P.
16 Kara, Abdul Hamid
16 Özer, Teoman
16 Vaneeva, Olena O.
15 Ivanova, Nataliya M.
14 Chirkunov, Yuriĭ Aleksandrovich
14 Nadjafikhah, Mehdi
13 Fushchych, Vil’gel’m Illich
13 Gandarias Núñez, Maria Luz
12 Dorodnitsyn, Vladimir A.
12 Qu, Changzheng
12 Tracinà, Rita
12 Wang, Gangwei
11 Biswas, Anjan
11 Bruzón, Maria Santos
11 Huang, Qing
11 Ibragimov, Nail Hairullovich
11 Sahadevan, Ramajayam
10 Torrisi, Mariano
9 Kaptsov, Oleg Viktorovich
9 Kozlov, Roman
9 Mironov, Alekseĭ Nikolaevich
9 Molati, Motlatsi
9 Momoniat, Ebrahim
9 Speciale, Maria Paola
8 Huang, Dingjiang
8 Johnpillai, Andrew Gratien
8 Kyrov, Vladimir Aleksandrovich
8 Mustafa, Muhammad Tahir
8 Ruggieri, Marianna
8 Zhdanov, Renat Z.
7 Blokhin, Aleksandr Mikhaĭlovich
7 Currò, Carmela
7 Gorgone, Matteo
7 Lychagin, Valentin V.
7 Olver, Peter John
7 Serov, Mykola I.
7 Shapovalov, Aleksandr V.
7 Sinkala, Winter
7 Zhang, Zhiyong
6 Ahangari, Fatemeh
6 Al-Dweik, Ahmad Y.
6 Anco, Stephen C.
6 Andreev, Viktor Konstantinovich
6 Bluman, George W.
6 Bozhkov, Yuri Dimitrov
6 Broadbridge, Philip
6 Chen, Yong
6 Cherevko, Alexander A.
6 Cheviakov, Alexei F.
6 Edelen, Dominic Gardiner Bowling
6 Gazizov, Rafail Kav’evich
6 Golovin, Sergey V.
6 Gupta, Rajesh Kumar
6 Hejazi, Seyed Reza
6 Kaptsov, E. I.
6 Kumar, Sachin
6 Moyo, Sibusiso
6 Pukhnachov, Vladislav Vasil’evich
6 Semenov, Edward Ivanovich
6 Winternitz, Pavel
6 Zaman, Fiazud Din
6 Zharinov, Victor Victorovich
5 Abd-el-Malek, Mina B.
5 Aksenov, Aleksandr Vasil’evich
5 Ali, Ahmad Tawfik
5 Azad, Hassan
5 Bagderina, Yuliya Yur’evna
5 Bautin, Sergeĭ Petrovich
5 Bordag, Ljudmila A.
5 Dutykh, Denys
5 Edwards, Maureen P.
5 Fëdorov, Vladimir Evgen’evich
5 Güngör, Faruk
5 Loginov, Boris Vladimirovich
5 Moitsheki, Raseelo J.
5 Muatjetjeja, Ben
5 Opanasenko, Stanislav
5 Orhan, Özlem
5 Ovsyannikov, Lev Vasil’evich
5 Paliathanasis, Andronikos
5 Rudykh, Gennady Alekseevich
5 Sekhar, T. Raja
5 Shen, Shoufeng
5 Tsaousi, C.
5 Vosylius, R. V.
5 Wafo Soh, Célestin
4 Adem, Khadijo Rashid
4 Alkhimov, V. I.
4 Baikov, V. A.
4 Bansal, Anupma
...and 1,094 more Authors
all top 5

Cited in 201 Serials

79 Communications in Nonlinear Science and Numerical Simulation
70 Journal of Mathematical Analysis and Applications
50 Journal of Mathematical Physics
47 Journal of Applied Mathematics and Mechanics
44 Applied Mathematics and Computation
32 Theoretical and Mathematical Physics
32 Nonlinear Dynamics
29 Journal of Applied Mechanics and Technical Physics
27 Acta Applicandae Mathematicae
25 Prikladnaya Matematika i Mekhanika
25 Journal of Nonlinear Mathematical Physics
23 Physics Letters. A
23 Ukrainian Mathematical Journal
23 Journal of Mathematical Sciences (New York)
22 International Journal of Engineering Science
20 Reports on Mathematical Physics
19 Mathematical Notes
18 Nonlinear Analysis. Real World Applications
17 Physica D
16 Fluid Dynamics
16 Siberian Mathematical Journal
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Computers & Mathematics with Applications
14 Abstract and Applied Analysis
13 Journal of Soviet Mathematics
13 Doklady Mathematics
13 Differential Equations
13 Journal of Siberian Federal University. Mathematics & Physics
13
12 Journal of Geometry and Physics
11 Chaos, Solitons and Fractals
10 Acta Mechanica
10 Journal of Computational and Applied Mathematics
10 Applied Mathematics Letters
10 Mathematical and Computer Modelling
9 International Journal of Theoretical Physics
9 Journal of Engineering Mathematics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Advances in Mathematical Physics
9 Symmetry
8 Lobachevskii Journal of Mathematics
7 General Relativity and Gravitation
7 Applied Mathematics and Mechanics. (English Edition)
7 Computational Mathematics and Mathematical Physics
7 Mathematical Problems in Engineering
7 Journal of Applied Mathematics
7 International Journal of Geometric Methods in Modern Physics
7 Nonlinear Analysis. Theory, Methods & Applications
6 Lithuanian Mathematical Journal
6 Journal of Differential Equations
6 Russian Mathematics
6 Proceedings of the Steklov Institute of Mathematics
5 Archive for Rational Mechanics and Analysis
5 Mathematics and Computers in Simulation
5 Meccanica
5 Journal of Symbolic Computation
5 Doklady Physics
5 Advances in Difference Equations
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
4 International Journal of Modern Physics B
4 Computer Physics Communications
4 Physica A
4 Wave Motion
4 Quaestiones Mathematicae
4 Applied Numerical Mathematics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Applied Mathematical Modelling
4 Automation and Remote Control
4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
4 Russian Physics Journal
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Differentsial’nye Uravneniya i Protsessy Upravleniya
4 Journal of Physics A: Mathematical and Theoretical
4 Asian-European Journal of Mathematics
4 Ufimskiĭ Matematicheskiĭ Zhurnal
4 International Journal of Applied and Computational Mathematics
3 Journal of Computational Physics
3 Letters in Mathematical Physics
3 Nonlinearity
3 Russian Journal of Mathematical Physics
3 Computational and Applied Mathematics
3 Boundary Value Problems
3 PMM, Journal of Applied Mathematics and Mechanics
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Moscow University Mechanics Bulletin
2 Nuclear Physics. B
2 Physics Reports
2 Transport Theory and Statistical Physics
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Journal of Optimization Theory and Applications
2 Proceedings of the American Mathematical Society
2 Programming and Computer Software
2 Quarterly of Applied Mathematics
2 Studies in Applied Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Computational Mathematics and Modeling
2 Continuum Mechanics and Thermodynamics
...and 101 more Serials
all top 5

Cited in 54 Fields

826 Partial differential equations (35-XX)
353 Fluid mechanics (76-XX)
158 Global analysis, analysis on manifolds (58-XX)
117 Ordinary differential equations (34-XX)
114 Dynamical systems and ergodic theory (37-XX)
84 Topological groups, Lie groups (22-XX)
80 Mechanics of deformable solids (74-XX)
57 Computer science (68-XX)
56 Numerical analysis (65-XX)
47 Differential geometry (53-XX)
44 Mechanics of particles and systems (70-XX)
38 Nonassociative rings and algebras (17-XX)
35 Statistical mechanics, structure of matter (82-XX)
33 Classical thermodynamics, heat transfer (80-XX)
31 Relativity and gravitational theory (83-XX)
30 Quantum theory (81-XX)
24 Biology and other natural sciences (92-XX)
20 Integral equations (45-XX)
18 Operator theory (47-XX)
16 Probability theory and stochastic processes (60-XX)
16 Geophysics (86-XX)
14 Optics, electromagnetic theory (78-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Systems theory; control (93-XX)
12 Difference and functional equations (39-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
8 Commutative algebra (13-XX)
7 Field theory and polynomials (12-XX)
6 Algebraic geometry (14-XX)
6 General topology (54-XX)
6 Manifolds and cell complexes (57-XX)
5 Number theory (11-XX)
5 Special functions (33-XX)
5 Functional analysis (46-XX)
5 Operations research, mathematical programming (90-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Geometry (51-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Information and communication theory, circuits (94-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.