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Shnirelman, Alexander I.

Author ID: shnirelman.alexander-i Recent zbMATH articles by "Shnirelman, Alexander I."
Published as: Shnirel’man, A. I.; Shnirelman, Alexander; Shnirelman, A.; Shnirelman, A. I.; Shnirelman, Alexander I.; Shnirel’man, A.

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 583 times in 485 Documents Cited by Year
Ergodic properties of eigenfunctions. Zbl 0324.58020
Shnirel’man, A. I.
184
1974
On the nonuniqueness of weak solutions of the Euler equation. Zbl 0909.35109
Shnirelman, A.
124
1997
Weak solutions with decreasing energy of incompressible Euler equations. Zbl 1011.35107
Shnirelman, A.
67
2000
Generalized fluid flows, their approximation and applications. Zbl 0851.76003
Shnirelman, A. I.
46
1994
The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid. Zbl 0725.58005
Shnirel’man, A. I.
32
1987
On the analyticity of particle trajectories in the ideal incompressible fluid. Zbl 1296.35133
Shnirelman, A.
23
2012
Lattice theory and flows of ideal incompressible fluid. Zbl 0874.35096
Shnirelman, Alexander I.
14
1993
The degree of a quasi-ruled mapping and a nonlinear Hilbert problem. Zbl 0272.55016
Shnirel’man, A. I.
14
1974
Microglobal analysis of the Euler equations. Zbl 1080.76011
Shnirelman, Alexander
12
2005
The degree of a quasiruled mapping, and the nonlinear Hilbert problem. Zbl 0249.55003
Shnirel’man, A. I.
11
1972
The asymptotic multiplicity of the spectrum of the Laplace operator. Zbl 0334.35058
Shnirel’man, A. I.
10
1975
Loss of smoothness and inherent instability of 2D inviscid fluid flows. Zbl 1141.76012
Morgulis, Andrey; Shnirelman, Alexander; Yudovich, Victor
8
2008
Instability fo steady flows of an ideal incomressible fluid. Zbl 0984.35129
Friedlander, Susan; Shnirelman, Alexander
7
2001
Evolution of singularities, generalized Liapunov function and generalized integral for an ideal incompressible fluid. Zbl 0874.93055
Shnirelman, A.
7
1997
Attainable diffeomorphisms. Zbl 0784.57018
Shnirelman, A. I.
6
1993
Weak solutions of incompressible Euler equations. Zbl 1143.76394
Shnirelman, A.
5
2003
Geometric hydrodynamics in open problems. Zbl 1509.35198
Khesin, Boris; Misiołek, Gerard; Shnirelman, Alexander
4
2023
Diffeomorphisms, braids and flows. Zbl 1210.37050
Shnirelman, Alexander
2
2001
On the non-uniqueness of weak solution of the Euler equations. Zbl 0881.35096
Shnirelman, A.
2
1996
An asymptotic subcone of the Lobachevskij plane as a space of functions. Zbl 0923.54025
Polterovich, I.; Shnirel’man, A.
1
1997
Convolution equations in a halfspace. Zbl 0216.15302
Shnirel’man, A. I.
1
1971
Degree of a quasiruled mapping, and the nonlinear Hilbert problem. Zbl 0241.55008
Shnirel’man, A. I.
1
1972
Weak solutions of incompressible Euler equations with decreasing energy. Zbl 1255.35181
Shnirelman, A. I.
1
1997
Statistical properties of eigenfunctions. Zbl 1485.58024
Shnirelman, Alexander
1
2022
Geometric hydrodynamics in open problems. Zbl 1509.35198
Khesin, Boris; Misiołek, Gerard; Shnirelman, Alexander
4
2023
Statistical properties of eigenfunctions. Zbl 1485.58024
Shnirelman, Alexander
1
2022
On the analyticity of particle trajectories in the ideal incompressible fluid. Zbl 1296.35133
Shnirelman, A.
23
2012
Loss of smoothness and inherent instability of 2D inviscid fluid flows. Zbl 1141.76012
Morgulis, Andrey; Shnirelman, Alexander; Yudovich, Victor
8
2008
Microglobal analysis of the Euler equations. Zbl 1080.76011
Shnirelman, Alexander
12
2005
Weak solutions of incompressible Euler equations. Zbl 1143.76394
Shnirelman, A.
5
2003
Instability fo steady flows of an ideal incomressible fluid. Zbl 0984.35129
Friedlander, Susan; Shnirelman, Alexander
7
2001
Diffeomorphisms, braids and flows. Zbl 1210.37050
Shnirelman, Alexander
2
2001
Weak solutions with decreasing energy of incompressible Euler equations. Zbl 1011.35107
Shnirelman, A.
67
2000
On the nonuniqueness of weak solutions of the Euler equation. Zbl 0909.35109
Shnirelman, A.
124
1997
Evolution of singularities, generalized Liapunov function and generalized integral for an ideal incompressible fluid. Zbl 0874.93055
Shnirelman, A.
7
1997
An asymptotic subcone of the Lobachevskij plane as a space of functions. Zbl 0923.54025
Polterovich, I.; Shnirel’man, A.
1
1997
Weak solutions of incompressible Euler equations with decreasing energy. Zbl 1255.35181
Shnirelman, A. I.
1
1997
On the non-uniqueness of weak solution of the Euler equations. Zbl 0881.35096
Shnirelman, A.
2
1996
Generalized fluid flows, their approximation and applications. Zbl 0851.76003
Shnirelman, A. I.
46
1994
Lattice theory and flows of ideal incompressible fluid. Zbl 0874.35096
Shnirelman, Alexander I.
14
1993
Attainable diffeomorphisms. Zbl 0784.57018
Shnirelman, A. I.
6
1993
The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid. Zbl 0725.58005
Shnirel’man, A. I.
32
1987
The asymptotic multiplicity of the spectrum of the Laplace operator. Zbl 0334.35058
Shnirel’man, A. I.
10
1975
Ergodic properties of eigenfunctions. Zbl 0324.58020
Shnirel’man, A. I.
184
1974
The degree of a quasi-ruled mapping and a nonlinear Hilbert problem. Zbl 0272.55016
Shnirel’man, A. I.
14
1974
The degree of a quasiruled mapping, and the nonlinear Hilbert problem. Zbl 0249.55003
Shnirel’man, A. I.
11
1972
Degree of a quasiruled mapping, and the nonlinear Hilbert problem. Zbl 0241.55008
Shnirel’man, A. I.
1
1972
Convolution equations in a halfspace. Zbl 0216.15302
Shnirel’man, A. I.
1
1971
all top 5

Cited by 509 Authors

16 Székelyhidi, László jun.
11 De Lellis, Camillo
10 Misiołek, Gerard
10 Zelditch, Steve
8 Khesin, Boris A.
8 Titi, Edriss Saleh
8 Vicol, Vlad C.
7 Anantharaman, Nalini
7 Brenier, Yann
7 Buckmaster, Tristan
7 Feireisl, Eduard
7 Rivière, Gabriel
7 Wiedemann, Emil
6 Černe, Miran
6 Dyatlov, Semyon
6 Erdős, László
6 Lopes Filho, Milton da Costa
6 Nussenzveig Lopes, Helena Judith
6 Preston, Stephen C.
6 Sabri, Mostafa
5 Aurich, Ralf
5 Bardos, Claude Williams
5 Bauer, Martin
5 Benn, James
5 Besse, Nicolas
5 Cipolloni, Giorgio
5 Constantin, Peter
5 Drivas, Theodore Dimitrios
5 Elling, Volker W.
5 Gwiazda, Piotr
5 Hezari, Hamid
5 Keating, Jonathan Peter
5 Šverák, Vladimír
5 Świerczewska-Gwiazda, Agnieszka
5 Tao, Tao
5 Yesha, Nadav
5 Zhang, Liqun
4 Elgindi, Tarek Mohamed
4 Eswarathasan, Suresh
4 Frisch, Uriel
4 Glimm, James G.
4 Han, Xiaolong
4 Ingremeau, Maxime
4 Isett, Philip
4 Jakobson, Dmitry
4 Kukavica, Igor
4 Maslov, Viktor Pavlovich
4 Mishra, Siddhartha
4 Nonnenmacher, Stéphane
4 Schröder, Dominik
4 Shafarevich, Andreĭ Igorevich
4 Shnirelman, Alexander I.
4 Taylor, Michael Eugene
4 Wegert, Elias
4 Wendland, Wolfgang L.
4 Yamazaki, Kazuo
3 Bourgade, Paul
3 Boutros, Daniel W.
3 Brandenbursky, Michael
3 Casati, Giulio
3 Chae, Dongho
3 Chirikov, Boris Valerianovich
3 Colin de Verdière, Yves
3 Efendiev, Messoud
3 Faraco, Daniel
3 Figalli, Alessio
3 Hassell, Andrew
3 Izosimov, Anton
3 Kolev, Boris
3 Kurlberg, Pär
3 Lanthaler, Samuel
3 Le Masson, Etienne
3 Lester, Stephen J.
3 Li, Yang
3 Lindberg, Sauli
3 Liu, Hongyu
3 Macià, Fabricio
3 Marshall, Simon
3 Mérigot, Quentin
3 Modin, Klas
3 Nguyen Phuoc Tai
3 Said, Ayman Rimah
3 Schubert, Roman
3 Sharp, David H.
3 Shvydkoy, Roman V.
3 Sogge, Christopher D.
3 Steiner, Frank
3 Tadmor, Eitan
3 Topalov, Peter J.
3 Toth, John Andrew
3 Trélat, Emmanuel
3 Ueberschär, Henrik
3 Wigman, Igor
3 Winn, Brian
3 Yoneda, Tsuyoshi
2 Akramov, Ibrokhimbek
2 Alsaedy, Ammar
2 Ambrosio, Luigi
2 Arnaudon, Marc
2 Baradat, Aymeric
...and 409 more Authors
all top 5

Cited in 147 Serials

48 Communications in Mathematical Physics
27 Archive for Rational Mechanics and Analysis
19 Physica D
14 Journal of Functional Analysis
13 Calculus of Variations and Partial Differential Equations
10 Advances in Mathematics
10 Journal of Differential Equations
10 Annales Henri Poincaré
9 Journal of Mathematical Analysis and Applications
9 Geometric and Functional Analysis. GAFA
8 Proceedings of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
8 Annals of Mathematics. Second Series
7 Communications on Pure and Applied Mathematics
7 Duke Mathematical Journal
7 Transactions of the American Mathematical Society
7 Journal of Mathematical Fluid Mechanics
6 Nonlinearity
6 Annales de l’Institut Fourier
6 Inventiones Mathematicae
6 Communications in Partial Differential Equations
6 SIAM Journal on Mathematical Analysis
6 Annales Mathématiques du Québec
5 Journal of Mathematical Physics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Spectral Theory
4 Israel Journal of Mathematics
4 Journal of Fluid Mechanics
4 Mathematische Annalen
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of the American Mathematical Society
4 Journal of Nonlinear Science
4 Discrete and Continuous Dynamical Systems
4 Analysis & PDE
4 Forum of Mathematics, Sigma
4 Séminaire Laurent Schwartz. EDP et Applications
3 Physics Letters. A
3 Annals of Physics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Oberwolfach Reports
3 Complex Variables and Elliptic Equations
3 Journal of Physics A: Mathematical and Theoretical
2 Applicable Analysis
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Geometry and Physics
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Siberian Mathematical Journal
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Stochastic Processes and their Applications
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 New Journal of Physics
2 Journal of the European Mathematical Society (JEMS)
2 Foundations of Computational Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Geometric Mechanics
2 Nonlinear Analysis. Theory, Methods & Applications
2 Annals of PDE
2 Arnold Mathematical Journal
2 Journal of Siberian Federal University. Mathematics & Physics
2 Tunisian Journal of Mathematics
1 International Journal of Modern Physics B
1 Geophysical and Astrophysical Fluid Dynamics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Nuclear Physics. B
1 Physica A
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Optimization
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematika
1 Michigan Mathematical Journal
1 Numerische Mathematik
1 Proceedings of the Japan Academy. Series A
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Acta Applicandae Mathematicae
...and 47 more Serials
all top 5

Cited in 49 Fields

311 Partial differential equations (35-XX)
196 Fluid mechanics (76-XX)
141 Global analysis, analysis on manifolds (58-XX)
100 Quantum theory (81-XX)
76 Dynamical systems and ergodic theory (37-XX)
31 Probability theory and stochastic processes (60-XX)
29 Number theory (11-XX)
26 Operator theory (47-XX)
26 Differential geometry (53-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Functions of a complex variable (30-XX)
17 Numerical analysis (65-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Functional analysis (46-XX)
11 Measure and integration (28-XX)
10 Combinatorics (05-XX)
10 Ordinary differential equations (34-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Geophysics (86-XX)
7 General and overarching topics; collections (00-XX)
6 Mechanics of particles and systems (70-XX)
5 Group theory and generalizations (20-XX)
5 Topological groups, Lie groups (22-XX)
5 Abstract harmonic analysis (43-XX)
5 Manifolds and cell complexes (57-XX)
4 Algebraic geometry (14-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Nonassociative rings and algebras (17-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year