## Cannone, Marco

Compute Distance To:
 Author ID: cannone.marco Published as: Cannone, Marco; Cannone, M. External Links: MGP · Wikidata · IdRef · theses.fr
 Documents Indexed: 37 Publications since 1991, including 1 Book 1 Contribution as Editor Co-Authors: 22 Co-Authors with 32 Joint Publications 635 Co-Co-Authors
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### Co-Authors

 6 single-authored 8 Karch, Grzegorz 8 Planchon, Fabrice 4 Lombardo, Maria Carmela 4 Miao, Changxing 4 Sammartino, Marco Maria Luigi 3 Meyer, Yves F. 3 Wu, Gang 2 Biler, Piotr 2 Xue, Liutang 1 Bae, Hantaek 1 Cercignani, Carlo 1 Chen, Qionglei 1 Constantin, Peter 1 El Hajj, Ahmad 1 Friedlander, Susan Jean 1 Gallavotti, Giovanni M. 1 Guerra, Ignacio A. 1 Kazhikov, Aleksandr Vasil’evich 1 Miyakawa, Tetsuro 1 Monneau, Régis 1 Pilarczyk, Dominika 1 Prioux, Nicolas 1 Ribaud, Francis 1 Schonbek, Maria Elena 1 Yuan, Baoquan
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### Serials

 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Revista Matemática Iberoamericana 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Séminaire Équations aux Dérivées Partielles 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Advances in Mathematical Sciences and Applications 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Journal of Mathematical Fluid Mechanics 1 Lecture Notes in Mathematics 1 Kinetic and Related Models
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### Fields

 35 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

31 Publications have been cited 857 times in 613 Documents Cited by Year
Harmonic analysis tools for solving the incompressible Navier-Stokes equations. Zbl 1222.35139
Cannone, Marco
2004
A generalization of a theorem by Kato on Navier-Stokes equations. Zbl 0897.35061
Cannone, Marco
1997
Wavelets, paraproducts and Navier-Stokes. With a preface by Yves Meyer. (Ondelettes, paraproduits, et Navier-Stokes.) Zbl 1049.35517
Cannone, Marco
1995
Well-posedness of the boundary layer equations. Zbl 1053.76013
Lombardo, Maria Carmela; Cannone, Marco; Sammartino, Marco
2003
Self-similar solutions for Navier-Stokes equations in $$\mathbb{R} ^ 3$$. Zbl 0842.35075
Cannone, M.; Planchon, F.
1996
Smooth or singular solutions to the Navier-Stokes system? Zbl 1042.35043
Cannone, Marco; Karch, Grzegorz
2004
Self-similar solutions of Navier-Stokes equations. (Solutions auto-similaires des équations de Navier-Stokes.) Zbl 0882.35090
Cannone, M.; Meyer, Y.; Planchon, F.
1994
A losing estimate for the ideal MHD equations with application to blow-up criterion. Zbl 1126.76057
Cannone, Marco; Chen, Qionglei; Miao, Changxing
2007
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz
2004
Littlewood-Paley decomposition and Navier-Stokes equations. Zbl 0842.35074
Cannone, Marco; Meyer, Yves
1995
Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112
Cannone, Marco; Planchon, Fabrice; Schonbek, Maria
2000
Well-posedness of Prandtl equations with non-compatible data. Zbl 1396.35047
Cannone, M.; Lombardo, M. C.; Sammartino, M.
2013
Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces. Zbl 1238.35083
Cannone, Marco; Wu, Gang
2012
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
2005
Infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1205.35180
Cannone, Marco; Karch, Grzegorz
2010
On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations. Zbl 0965.35121
Cannone, Marco; Planchon, Fabrice
2000
The Cauchy problem for the magneto-hydrodynamic system. Zbl 1104.76085
Cannone, Marco; Miao, Changxing; Prioux, Nicolas; Yuan, Baoquan
2006
On the non-stationary Navier-Stokes equations with an external force. Zbl 0952.35089
Cannone, Marco; Planchon, Fabrice
1999
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
On the inviscid limit of the two-dimensional Navier-Stokes equations with fractional diffusion. Zbl 1387.35446
Cannone, Marco; Miao, Changxing; Wu, Gang
2008
Existence and uniqueness for the Prandtl equations. Zbl 0984.35002
Cannone, Marco; Lombardo, Maria Carmela; Sammartino, Marco
2001
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing. Zbl 1364.35371
Cannone, Marco; Miao, Changxing; Xue, Liutang
2013
More Lyapunov functions for the Navier-Stokes equations. Zbl 0999.35071
Cannone, Marco; Planchon, Fabrice
2002
A trace theorem in kinetic theory. Zbl 0744.45005
Cannone, Marco; Cercignani, Carlo
1991
Viscous flows in Besov spaces. Zbl 0980.35125
Cannone, Marco
2000
On the Prandtl boundary layer equations in presence of corner singularities. Zbl 1305.35112
Cannone, M.; Lombardo, M. C.; Sammartino, M.
2014
On self-similar solutions to the homogeneous Boltzmann equation. Zbl 1302.82084
Cannone, Marco; Karch, Grzegorz
2013
Lyapunov functions for Navier-Stokes equations. (Fonctions de Lyapunov pour les équations de Navier-Stokes.) Zbl 1061.35509
Cannone, Marco; Planchon, Fabrice
2000
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2004
Remarks on self-similar solutions for the surface quasi-geostrophic equation and its generalization. Zbl 1309.76025
Cannone, Marco; Xue, Liutang
2015
On the validity of the Picard algorithm for nonlinear parabolic equations. Zbl 1095.35034
Cannone, Marco; Karch, Grzegorz
2005
Remarks on self-similar solutions for the surface quasi-geostrophic equation and its generalization. Zbl 1309.76025
Cannone, Marco; Xue, Liutang
2015
On the Prandtl boundary layer equations in presence of corner singularities. Zbl 1305.35112
Cannone, M.; Lombardo, M. C.; Sammartino, M.
2014
Well-posedness of Prandtl equations with non-compatible data. Zbl 1396.35047
Cannone, M.; Lombardo, M. C.; Sammartino, M.
2013
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing. Zbl 1364.35371
Cannone, Marco; Miao, Changxing; Xue, Liutang
2013
On self-similar solutions to the homogeneous Boltzmann equation. Zbl 1302.82084
Cannone, Marco; Karch, Grzegorz
2013
Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces. Zbl 1238.35083
Cannone, Marco; Wu, Gang
2012
Infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1205.35180
Cannone, Marco; Karch, Grzegorz
2010
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
On the inviscid limit of the two-dimensional Navier-Stokes equations with fractional diffusion. Zbl 1387.35446
Cannone, Marco; Miao, Changxing; Wu, Gang
2008
A losing estimate for the ideal MHD equations with application to blow-up criterion. Zbl 1126.76057
Cannone, Marco; Chen, Qionglei; Miao, Changxing
2007
The Cauchy problem for the magneto-hydrodynamic system. Zbl 1104.76085
Cannone, Marco; Miao, Changxing; Prioux, Nicolas; Yuan, Baoquan
2006
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
2005
On the validity of the Picard algorithm for nonlinear parabolic equations. Zbl 1095.35034
Cannone, Marco; Karch, Grzegorz
2005
Harmonic analysis tools for solving the incompressible Navier-Stokes equations. Zbl 1222.35139
Cannone, Marco
2004
Smooth or singular solutions to the Navier-Stokes system? Zbl 1042.35043
Cannone, Marco; Karch, Grzegorz
2004
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz
2004
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2004
Well-posedness of the boundary layer equations. Zbl 1053.76013
Lombardo, Maria Carmela; Cannone, Marco; Sammartino, Marco
2003
More Lyapunov functions for the Navier-Stokes equations. Zbl 0999.35071
Cannone, Marco; Planchon, Fabrice
2002
Existence and uniqueness for the Prandtl equations. Zbl 0984.35002
Cannone, Marco; Lombardo, Maria Carmela; Sammartino, Marco
2001
Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112
Cannone, Marco; Planchon, Fabrice; Schonbek, Maria
2000
On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations. Zbl 0965.35121
Cannone, Marco; Planchon, Fabrice
2000
Viscous flows in Besov spaces. Zbl 0980.35125
Cannone, Marco
2000
Lyapunov functions for Navier-Stokes equations. (Fonctions de Lyapunov pour les équations de Navier-Stokes.) Zbl 1061.35509
Cannone, Marco; Planchon, Fabrice
2000
On the non-stationary Navier-Stokes equations with an external force. Zbl 0952.35089
Cannone, Marco; Planchon, Fabrice
1999
A generalization of a theorem by Kato on Navier-Stokes equations. Zbl 0897.35061
Cannone, Marco
1997
Self-similar solutions for Navier-Stokes equations in $$\mathbb{R} ^ 3$$. Zbl 0842.35075
Cannone, M.; Planchon, F.
1996
Wavelets, paraproducts and Navier-Stokes. With a preface by Yves Meyer. (Ondelettes, paraproduits, et Navier-Stokes.) Zbl 1049.35517
Cannone, Marco
1995
Littlewood-Paley decomposition and Navier-Stokes equations. Zbl 0842.35074
Cannone, Marco; Meyer, Yves
1995
Self-similar solutions of Navier-Stokes equations. (Solutions auto-similaires des équations de Navier-Stokes.) Zbl 0882.35090
Cannone, M.; Meyer, Y.; Planchon, F.
1994
A trace theorem in kinetic theory. Zbl 0744.45005
Cannone, Marco; Cercignani, Carlo
1991
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### Cited by 564 Authors

 18 Miao, Changxing 17 Ferreira, Lucas Catão de Freitas 17 Zhang, Zhifei 15 Zhao, Jihong 14 Chen, Qionglei 14 Karch, Grzegorz 14 Yang, Tong 13 Cui, Shangbin 12 Liu, Qiao 12 Zheng, Xiaoxin 11 Shimizu, Senjo 10 Gallagher, Isabelle 10 Kozono, Hideo 9 Cannone, Marco 9 Lemarié-Rieusset, Pierre Gilles 9 Melo, Wilberclay G. 9 Vicol, Vlad C. 8 Chang, Tongkeun 8 Deng, Chao 8 Kukavica, Igor 8 Tsai, Tai-Peng 8 Wu, Gang 8 Yang, Minghua 8 Zhang, Ping 8 Zhang, Ting 7 El Hajj, Ahmad 7 Farwig, Reinhard 7 Jin, Bumja 7 Paicu, Marius 7 Sammartino, Marco Maria Luigi 7 Sun, Jinyi 7 Wan, Renhui 7 Xu, Jiang 6 Chen, Jiecheng 6 Du, Yi 6 Iwabuchi, Tsukasa 6 Liu, Cheng-Jie 6 Masmoudi, Nader 6 Morimoto, Yoshinori 6 Nie, Yao 6 Ogawa, Takayoshi 6 Schonbek, Maria Elena 6 Sciacca, Vincenzo 6 Wang, Yuxi 6 Yuan, Baoquan 5 Danchin, Raphaël 5 Fang, Daoyuan 5 Gargano, Francesco 5 Germain, Pierre 5 Iftimie, Dragoş 5 Lkhagvasuren, Bataa 5 Qiu, Hua 5 Rocha, Natã Firmino 5 Šverák, Vladimír 5 Taniuchi, Yasushi 5 Villamizar-Roa, Elder Jesús 5 Xie, Feng 5 Xu, Fuyi 5 Yang, Qixiang 5 Yao, Zhengan 5 Yuan, Jia 5 Zi, Ruizhao 4 Bae, Hantaek 4 Barker, Tobias 4 Benameur, Jamel 4 Biler, Piotr 4 Bradshaw, Zachary 4 Chemin, Jean-Yves 4 Cheskidov, Alexey 4 Choe, Hi Jun 4 Guterres, Robert H. 4 Hao, Xiaonan 4 Iyer, Sameer 4 Khai, D. Q. 4 Lai, Baishun 4 Luo, Xiaoyutao 4 Maekawa, Yasunori 4 Nguyễn Minh Trí 4 Planchon, Fabrice 4 Shvydkoy, Roman V. 4 Sugiyama, Yoshie 4 Tayachi, Slim 4 Temam, Roger Meyer 4 Wang, Baoxiang 4 Wang, Shuaikun 4 Wang, Yaguang 4 Wang, Yuzhu 4 Zingano, Paulo R. A. 3 Baaske, Franka 3 Brandolese, Lorenzo 3 Chen, Dongxiang 3 Cho, Yong-Kum 3 Elgindi, Tarek Mohamed 3 Fontbona, Joaquin 3 Friedlander, Susan Jean 3 Fu, Zunwei 3 Gérard-Varet, David 3 Hieber, Matthias 3 Kang, Kyungkeun 3 Koch, Gabriel S. ...and 464 more Authors
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### Cited in 132 Serials

 50 Journal of Differential Equations 49 Journal of Mathematical Analysis and Applications 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Archive for Rational Mechanics and Analysis 22 Journal of Mathematical Fluid Mechanics 18 Communications in Mathematical Physics 18 Journal of Functional Analysis 16 SIAM Journal on Mathematical Analysis 13 Communications in Partial Differential Equations 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Discrete and Continuous Dynamical Systems 12 Acta Mathematica Sinica. English Series 12 Nonlinear Analysis. Real World Applications 11 Mathematical Methods in the Applied Sciences 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Acta Applicandae Mathematicae 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Journal of Evolution Equations 9 Journal of Mathematical Physics 9 Advances in Mathematics 9 Communications on Pure and Applied Analysis 8 Computers & Mathematics with Applications 8 Proceedings of the American Mathematical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematische Annalen 6 Physica D 6 Boundary Value Problems 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Communications on Pure and Applied Mathematics 5 Transactions of the American Mathematical Society 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 Abstract and Applied Analysis 5 Communications in Contemporary Mathematics 4 Applicable Analysis 4 Journal of Statistical Physics 4 Nonlinearity 4 Monatshefte für Mathematik 4 Revista Matemática Iberoamericana 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Annales de l’Institut Fourier 3 Mathematische Nachrichten 3 Journal of Nonlinear Science 3 Séminaire Laurent Schwartz. EDP et Applications 3 Journal of Elliptic and Parabolic Equations 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Mathematische Zeitschrift 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Journal of Hyperbolic Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Kinetic and Related Models 2 Science China. Mathematics 2 Analysis and Mathematical Physics 2 Advances in Nonlinear Analysis 2 Annals of PDE 2 SN Partial Differential Equations and Applications 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Complexity 1 Forum Mathematicum 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis ...and 32 more Serials
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### Cited in 34 Fields

 575 Partial differential equations (35-XX) 457 Fluid mechanics (76-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 35 Functional analysis (46-XX) 28 Biology and other natural sciences (92-XX) 24 Statistical mechanics, structure of matter (82-XX) 18 Geophysics (86-XX) 16 Operator theory (47-XX) 14 Mechanics of deformable solids (74-XX) 12 Probability theory and stochastic processes (60-XX) 8 Real functions (26-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)

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