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Cheskidov, Alexey

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Author ID: cheskidov.alexey Recent zbMATH articles by "Cheskidov, Alexey"
Published as: Cheskidov, A.; Cheskidov, Alexey
External Links: MGP
Documents Indexed: 37 Publications since 2001

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 541 times in 383 Documents Cited by Year
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
124
2005
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
89
2008
The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\). Zbl 1186.35137
Cheskidov, A.; Shvydkoy, R.
40
2010
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
36
2006
Global attractors of evolutionary systems. Zbl 1176.35035
Cheskidov, Alexey
23
2009
Blow-up in finite time for the dyadic model of the Navier-Stokes equations. Zbl 1156.35073
Cheskidov, Alexey
21
2008
Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085
Cheskidov, A.; Shvydkoy, R.
20
2010
On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279
Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman
17
2010
Inviscid dyadic model of turbulence: the fixed point and Onsager’s conjecture. Zbl 1144.81331
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
15
2007
Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R.
13
2016
A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov’s dissipation range. Zbl 1433.76031
Cheskidov, A.; Shvydkoy, R.
13
2014
An inviscid dyadic model of turbulence: the global attractor. Zbl 1185.35181
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
13
2010
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\). Zbl 1394.35513
Cheskidov, Alexey; Dai, Mimi
12
2018
Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010
Cheskidov, A.; Shvydkoy, R.
12
2014
The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness. Zbl 1201.35051
Cheskidov, Alexey; Lu, Songsong
11
2009
Uniform global attractors for the nonautonomous 3D Navier-Stokes equations. Zbl 1304.35113
Cheskidov, Alexey; Lu, Songsong
10
2014
The vanishing viscosity limit for a dyadic model. Zbl 1179.37114
Cheskidov, Alexey; Friedlander, Susan
9
2009
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
6
2015
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
6
2014
Boundary layer for the Navier-Stokes-alpha model of fluid turbulence. Zbl 1094.76027
Cheskidov, A.
6
2004
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
5
2018
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089
Cheskidov, A.; Shvydkoy, R.
5
2012
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
5
2007
On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062
Cheskidov, A.; Foias, C.
5
2001
Pullback attractors for generalized evolutionary systems. Zbl 1332.35263
Kavlie, Landon; Cheskidov, Alexey
4
2015
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
3
2018
Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in \(\dot{H}^{\frac{3}{2}}\). Zbl 1333.76026
Cheskidov, Alexey; Zaya, Karen
3
2016
A continuous model for turbulent energy cascade. Zbl 1296.76059
Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan
3
2012
Turbulent boundary layer equations. Zbl 1017.76034
Cheskidov, Alexey
3
2002
Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. Zbl 1434.35045
Cheskidov, Alexey; Luo, Xiaoyutao
2
2020
Regularizing effect of the forward energy cascade in the inviscid dyadic model. Zbl 1328.35159
Cheskidov, Alexey; Zaya, Karen
2
2016
Degenerate pullback attractors for the 3D Navier-Stokes equations. Zbl 1326.35239
Cheskidov, Alexey; Kavlie, Landon
2
2015
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
1
2020
Kolmogorov’s dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. Zbl 1420.35227
Cheskidov, Alexey; Dai, Mimi
1
2019
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163
Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof
1
2017
Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. Zbl 1434.35045
Cheskidov, Alexey; Luo, Xiaoyutao
2
2020
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
1
2020
Kolmogorov’s dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. Zbl 1420.35227
Cheskidov, Alexey; Dai, Mimi
1
2019
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\). Zbl 1394.35513
Cheskidov, Alexey; Dai, Mimi
12
2018
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
5
2018
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
3
2018
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163
Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof
1
2017
Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R.
13
2016
Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in \(\dot{H}^{\frac{3}{2}}\). Zbl 1333.76026
Cheskidov, Alexey; Zaya, Karen
3
2016
Regularizing effect of the forward energy cascade in the inviscid dyadic model. Zbl 1328.35159
Cheskidov, Alexey; Zaya, Karen
2
2016
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
6
2015
Pullback attractors for generalized evolutionary systems. Zbl 1332.35263
Kavlie, Landon; Cheskidov, Alexey
4
2015
Degenerate pullback attractors for the 3D Navier-Stokes equations. Zbl 1326.35239
Cheskidov, Alexey; Kavlie, Landon
2
2015
A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov’s dissipation range. Zbl 1433.76031
Cheskidov, A.; Shvydkoy, R.
13
2014
Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010
Cheskidov, A.; Shvydkoy, R.
12
2014
Uniform global attractors for the nonautonomous 3D Navier-Stokes equations. Zbl 1304.35113
Cheskidov, Alexey; Lu, Songsong
10
2014
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
6
2014
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089
Cheskidov, A.; Shvydkoy, R.
5
2012
A continuous model for turbulent energy cascade. Zbl 1296.76059
Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan
3
2012
The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\). Zbl 1186.35137
Cheskidov, A.; Shvydkoy, R.
40
2010
Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085
Cheskidov, A.; Shvydkoy, R.
20
2010
On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279
Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman
17
2010
An inviscid dyadic model of turbulence: the global attractor. Zbl 1185.35181
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
13
2010
Global attractors of evolutionary systems. Zbl 1176.35035
Cheskidov, Alexey
23
2009
The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness. Zbl 1201.35051
Cheskidov, Alexey; Lu, Songsong
11
2009
The vanishing viscosity limit for a dyadic model. Zbl 1179.37114
Cheskidov, Alexey; Friedlander, Susan
9
2009
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
89
2008
Blow-up in finite time for the dyadic model of the Navier-Stokes equations. Zbl 1156.35073
Cheskidov, Alexey
21
2008
Inviscid dyadic model of turbulence: the fixed point and Onsager’s conjecture. Zbl 1144.81331
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
15
2007
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
5
2007
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
36
2006
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
124
2005
Boundary layer for the Navier-Stokes-alpha model of fluid turbulence. Zbl 1094.76027
Cheskidov, A.
6
2004
Turbulent boundary layer equations. Zbl 1017.76034
Cheskidov, Alexey
3
2002
On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062
Cheskidov, A.; Foias, C.
5
2001
all top 5

Cited by 408 Authors

22 Cheskidov, Alexey
17 Rebholz, Leo G.
17 Titi, Edriss Saleh
12 Dai, Mimi
12 Shvydkoy, Roman V.
9 Tachim Medjo, Theodore
8 Grujić, Zoran
8 Vicol, Vlad C.
7 Barbato, David
7 Dascaliuc, Radu
7 Flandoli, Franco
7 Kalita, Piotr
7 Layton, William J.
7 Lewandowski, Roger
7 Morandin, Francesco
6 Bardos, Claude Williams
6 Berselli, Luigi Carlo
6 Buckmaster, Tristan
6 Constantin, Peter
6 De Lellis, Camillo
6 Dunca, Argus Adrian
6 Isett, Philip
6 Valero, José
5 Coti Zelati, Michele
5 Farwig, Reinhard
5 Jolly, Michael S.
5 Łukaszewicz, Grzegorz
5 Manica, Carolina Cardoso
5 Neda, Monika
5 Razafimandimby, Paul André
5 Székelyhidi, László jun.
5 Tao, Tao
5 Wiedemann, Emil
5 Yamazaki, Kazuo
5 Zhang, Liqun
4 Bessaih, Hakima
4 Biswas, Animikh
4 Dong, Hongjie
4 Fan, Jishan
4 Foiaş, Ciprian Ilie
4 Gal, Ciprian Gheorghe Sorin
4 Kim, Tae-Yeon
4 Leslie, Trevor M.
4 Li, Dong
4 Olson, Eric J.
4 Zhao, Caidi
4 Zvyagin, Andreĭ Viktorovich
3 Allouba, Hassan
3 Beirão da Veiga, Hugo
3 Bianchi, Luigi Amedeo
3 Bowers, Abigail L.
3 Deugoue, Gabriel
3 Doering, Charles R.
3 Dong, Boqing
3 Friedlander, Susan Jean
3 Gibbon, John D.
3 Gwiazda, Piotr
3 Holm, Darryl D.
3 Jeong, In-Jee
3 Kapustyan, Oleksiy V.
3 Kavlie, Landon
3 Larios, Adam
3 Li, Juntao
3 Li, Yanjiao
3 Liang, Zhilei
3 Linshiz, Jasmine S.
3 Liu, Wei
3 Lunasin, Evelyn M.
3 Luo, Xiaoyutao
3 Martinez, Vincent R.
3 Oh, Sung-Jin
3 Robinson, James Cooper
3 Siemianowski, Jakub
3 Smyth, Noel F.
3 Stanculescu, Iuliana
3 Sun, Chunyou
3 Świerczewska-Gwiazda, Agnieszka
3 Yang, Xinguang
3 Zhang, Zhifei
2 Bedrossian, Jacob
2 Bisconti, Luca
2 Bourgain, Jean
2 Bradshaw, Zachary
2 Cao, Yanping
2 Caraballo Garrido, Tomás
2 Catania, Davide
2 Chae, Dongho
2 Chandy, Abhilash J.
2 Chen, Gui-Qiang G.
2 Chen, Qionglei
2 Chueshov, Igor’ Dmitrievich
2 Ciampa, Gennaro
2 Cortissoz, Jean C.
2 Crippa, Gianluca
2 Drivas, Theodore Dimitrios
2 Eyink, Gregory L.
2 Farhat, Aseel
2 Feireisl, Eduard
2 Filonov, Nikolai D.
2 Frankel, Steven H.
...and 308 more Authors
all top 5

Cited in 111 Serials

26 Journal of Mathematical Analysis and Applications
25 Journal of Differential Equations
17 Archive for Rational Mechanics and Analysis
17 Communications in Mathematical Physics
17 Physica D
16 Journal of Mathematical Fluid Mechanics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Mathematical Physics
10 Discrete and Continuous Dynamical Systems. Series B
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 SIAM Journal on Mathematical Analysis
7 Nonlinearity
7 Transactions of the American Mathematical Society
7 Journal of Dynamics and Differential Equations
6 Proceedings of the American Mathematical Society
6 Journal of Nonlinear Science
6 Nonlinear Analysis. Real World Applications
5 Bulletin of the American Mathematical Society. New Series
5 Discrete and Continuous Dynamical Systems
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Communications on Pure and Applied Analysis
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 Physics of Fluids
4 Abstract and Applied Analysis
3 Computers & Mathematics with Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Statistical Physics
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematics Letters
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 Stochastic Processes and their Applications
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Annals of Mathematics. Second Series
3 Journal of Turbulence
3 Boundary Value Problems
3 Annals of PDE
2 Applicable Analysis
2 Computers and Fluids
2 Journal of Fluid Mechanics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Journal of Functional Analysis
2 Numerical Functional Analysis and Optimization
2 Chinese Annals of Mathematics. Series B
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 NoDEA. Nonlinear Differential Equations and Applications
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Evolution Equations and Control Theory
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Rocky Mountain Journal of Mathematics
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Probability Theory and Related Fields
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 The Annals of Applied Probability
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Russian Mathematics
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Journal of Inequalities and Applications
1 Chaos
1 Revista Matemática Complutense
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Advanced Nonlinear Studies
1 Stochastics and Dynamics
1 Journal of Applied Mathematics and Computing
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Analysis and Applications (Singapore)
1 Advances in Difference Equations
...and 11 more Serials

Citations by Year