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## Cheskidov, Alexey

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 Author ID: cheskidov.alexey Published as: Cheskidov, A.; Cheskidov, Alexey External Links: MGP
 Documents Indexed: 37 Publications since 2001
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#### Co-Authors

 3 single-authored 9 Shvydkoy, Roman V. 8 Dai, Mimi 6 Friedlander, Susan Jean 3 Kavlie, Landon 2 Lu, Songsong 2 Pavlović, Nataša 2 Zaya, Karen 1 Constantin, Peter 1 Doering, Charles R. 1 Holm, Darryl D. 1 Lopes Filho, Milton da Costa 1 Luo, Xiaoyutao 1 Marahrens, Daniel 1 Nussenzveig Lopes, Helena Judith 1 Olson, Eric J. 1 Petrov, Nikola P. 1 Sparber, Christof 1 Titi, Edriss Saleh
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#### Serials

 4 Journal of Mathematical Physics 3 Nonlinearity 3 Physica D 3 Journal of Mathematical Fluid Mechanics 2 Proceedings of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Indiana University Mathematics Journal 1 Transactions of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Dynamics of Partial Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 30 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### 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.
2005
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
The regularity of weak solutions of the 3D Navier-Stokes equations in $$B^{-1}_{\infty,\infty}$$. Zbl 1186.35137
Cheskidov, A.; Shvydkoy, R.
2010
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
2006
Global attractors of evolutionary systems. Zbl 1176.35035
Cheskidov, Alexey
2009
Blow-up in finite time for the dyadic model of the Navier-Stokes equations. Zbl 1156.35073
Cheskidov, Alexey
2008
Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085
Cheskidov, A.; Shvydkoy, R.
2010
On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279
Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman
2010
Inviscid dyadic model of turbulence: the fixed point and Onsager’s conjecture. Zbl 1144.81331
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
2007
Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R.
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.
2014
An inviscid dyadic model of turbulence: the global attractor. Zbl 1185.35181
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
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
2018
Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010
Cheskidov, A.; Shvydkoy, R.
2014
The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness. Zbl 1201.35051
Cheskidov, Alexey; Lu, Songsong
2009
Uniform global attractors for the nonautonomous 3D Navier-Stokes equations. Zbl 1304.35113
Cheskidov, Alexey; Lu, Songsong
2014
The vanishing viscosity limit for a dyadic model. Zbl 1179.37114
Cheskidov, Alexey; Friedlander, Susan
2009
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
2015
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
2014
Boundary layer for the Navier-Stokes-alpha model of fluid turbulence. Zbl 1094.76027
Cheskidov, A.
2004
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
2018
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089
Cheskidov, A.; Shvydkoy, R.
2012
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
2007
On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062
Cheskidov, A.; Foias, C.
2001
Pullback attractors for generalized evolutionary systems. Zbl 1332.35263
Kavlie, Landon; Cheskidov, Alexey
2015
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
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
2016
A continuous model for turbulent energy cascade. Zbl 1296.76059
Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan
2012
Turbulent boundary layer equations. Zbl 1017.76034
Cheskidov, Alexey
2002
Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. Zbl 1434.35045
Cheskidov, Alexey; Luo, Xiaoyutao
2020
Regularizing effect of the forward energy cascade in the inviscid dyadic model. Zbl 1328.35159
Cheskidov, Alexey; Zaya, Karen
2016
Degenerate pullback attractors for the 3D Navier-Stokes equations. Zbl 1326.35239
Cheskidov, Alexey; Kavlie, Landon
2015
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
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
2019
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163
Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof
2017
Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. Zbl 1434.35045
Cheskidov, Alexey; Luo, Xiaoyutao
2020
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
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
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
2018
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
2018
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
2018
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163
Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof
2017
Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R.
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
2016
Regularizing effect of the forward energy cascade in the inviscid dyadic model. Zbl 1328.35159
Cheskidov, Alexey; Zaya, Karen
2016
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
2015
Pullback attractors for generalized evolutionary systems. Zbl 1332.35263
Kavlie, Landon; Cheskidov, Alexey
2015
Degenerate pullback attractors for the 3D Navier-Stokes equations. Zbl 1326.35239
Cheskidov, Alexey; Kavlie, Landon
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.
2014
Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010
Cheskidov, A.; Shvydkoy, R.
2014
Uniform global attractors for the nonautonomous 3D Navier-Stokes equations. Zbl 1304.35113
Cheskidov, Alexey; Lu, Songsong
2014
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
2014
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089
Cheskidov, A.; Shvydkoy, R.
2012
A continuous model for turbulent energy cascade. Zbl 1296.76059
Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan
2012
The regularity of weak solutions of the 3D Navier-Stokes equations in $$B^{-1}_{\infty,\infty}$$. Zbl 1186.35137
Cheskidov, A.; Shvydkoy, R.
2010
Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085
Cheskidov, A.; Shvydkoy, R.
2010
On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279
Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman
2010
An inviscid dyadic model of turbulence: the global attractor. Zbl 1185.35181
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
2010
Global attractors of evolutionary systems. Zbl 1176.35035
Cheskidov, Alexey
2009
The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness. Zbl 1201.35051
Cheskidov, Alexey; Lu, Songsong
2009
The vanishing viscosity limit for a dyadic model. Zbl 1179.37114
Cheskidov, Alexey; Friedlander, Susan
2009
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
Blow-up in finite time for the dyadic model of the Navier-Stokes equations. Zbl 1156.35073
Cheskidov, Alexey
2008
Inviscid dyadic model of turbulence: the fixed point and Onsager’s conjecture. Zbl 1144.81331
Cheskidov, Alexey; Friedlander, Susan; Pavlović, Nataša
2007
Energy dissipation in fractal-forced flow. Zbl 1144.81330
Cheskidov, Alexey; Doering, Charles R.; Petrov, Nikola P.
2007
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
2006
On a Leray-$$\alpha$$ model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
2005
Boundary layer for the Navier-Stokes-alpha model of fluid turbulence. Zbl 1094.76027
Cheskidov, A.
2004
Turbulent boundary layer equations. Zbl 1017.76034
Cheskidov, Alexey
2002
On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062
Cheskidov, A.; Foias, C.
2001
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#### 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
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#### 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
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#### Cited in 28 Fields

 327 Partial differential equations (35-XX) 283 Fluid mechanics (76-XX) 47 Dynamical systems and ergodic theory (37-XX) 21 Probability theory and stochastic processes (60-XX) 20 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 11 Geophysics (86-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Operator theory (47-XX) 7 Systems theory; control (93-XX) 6 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)