Edit Profile (opens in new tab) Brandolese, Lorenzo Compute Distance To: Compute Author ID: brandolese.lorenzo Published as: Brandolese, Lorenzo Documents Indexed: 34 Publications since 2001 Co-Authors: 16 Co-Authors with 18 Joint Publications 260 Co-Co-Authors all top 5 Co-Authors 16 single-authored 3 Biler, Piotr 2 Bae, Hyeong-Ohk 2 Cortez, Manuel Fernando 2 Schonbek, Maria Elena 2 Vigneron, François 1 Bjorland, Clayton 1 Boritchev, Alexandre 1 Cortez, Fernando 1 He, Jiao 1 Iftimie, Dragoş 1 Jin, Bumja 1 Karch, Grzegorz 1 Meyer, Yves F. 1 Monniaux, Sylvie 1 Mouzouni, Charafeddine 1 Okabe, Takahiro all top 5 Serials 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Nonlinearity 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Evolution Equations 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche all top 5 Fields 33 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 561 times in 338 Documents Cited by ▼ Year ▼ Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217Brandolese, Lorenzo; Schonbek, Maria E. 69 2012 Space-time decay of Navier-Stokes flows invariant under rotations. Zbl 1080.35062Brandolese, Lorenzo 65 2004 Local-in-space criteria for blowup in shallow water and dispersive rod equations. Zbl 1294.35089Brandolese, Lorenzo 63 2014 New asymptotic profiles of nonstationary solutions of the Navier-Stokes system. Zbl 1127.35033Brandolese, Lorenzo; Vigneron, François 52 2007 On permanent and breaking waves in hyperelastic rods and rings. Zbl 1295.35009Brandolese, Lorenzo; Cortez, Manuel Fernando 44 2014 Breakdown for the Camassa-Holm equation using decay criteria and persistence in weighted spaces. Zbl 1256.35108Brandolese, Lorenzo 39 2012 Blowup issues for a class of nonlinear dispersive wave equations. Zbl 1293.35053Brandolese, Lorenzo; Cortez, Manuel Fernando 35 2014 Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations. Zbl 1057.35026Brandolese, Lorenzo 24 2004 Characterization of solutions to dissipative systems with sharp algebraic decay. Zbl 1381.42029Brandolese, Lorenzo 23 2016 Fine properties of self-similar solutions of the Navier-Stokes equations. Zbl 1169.76014Brandolese, Lorenzo 21 2009 Far field asymptotics of solutions to convection equation with anomalous diffusion. Zbl 1146.35318Brandolese, Lorenzo; Karch, Grzegorz 21 2008 On the localization of symmetric and asymmetric solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 0973.35149Brandolese, Lorenzo 20 2001 On the instantaneous spreading for the Navier-Stokes system in the whole space. Zbl 1080.35063Brandolese, Lorenzo; Meyer, Yves 16 2002 \(L^p\)-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E. 16 2011 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316Biler, Piotr; Brandolese, Lorenzo 14 2009 Application of the realization of homogeneous Sobolev spaces to Navier-Stokes. Zbl 1127.35032Brandolese, Lorenzo 8 2005 A Liouville theorem for the Degasperis-Procesi equation. Zbl 1358.35088Brandolese, Lorenzo 6 2016 Concentration-diffusion effects in viscous incompressible flows. Zbl 1162.76015Brandolese, Lorenzo 4 2009 Uniqueness theorems for the Boussinesq system. Zbl 1440.35230Brandolese, Lorenzo; He, Jiao 3 2020 On the effect of external forces on incompressible fluid motions at large distances. Zbl 1205.76073Bae, Hyeong-Ohk; Brandolese, Lorenzo 3 2009 On a non-solenoidal approximation to the incompressible Navier-Stokes equations. Zbl 1378.35212Brandolese, Lorenzo 3 2017 A short proof of the large time energy growth for the Boussinesq system. Zbl 1386.76054Brandolese, Lorenzo; Mouzouni, Charafeddine 2 2017 On the localization of the magnetic and the velocity fields in the equations of magnetohydrodynamics. Zbl 1135.35060Brandolese, Lorenzo; Vigneron, François 2 2007 Asymptotic behavior for the Navier-Stokes equations with nonzero external forces. Zbl 1238.76015Bae, Hyeong-Ohk; Brandolese, Lorenzo; Jin, Bum Ja 2 2009 Weighted \(L^2\)-spaces and strong solutions of the Navier-Stokes equations in \(\mathbb R^3\). Zbl 1081.35072Brandolese, Lorenzo 2 2005 Annihilation of slowly-decaying terms of Navier-Stokes flows by external forcing. Zbl 1462.35238Brandolese, Lorenzo; Okabe, Takahiro 1 2021 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015Biler, Piotr; Brandolese, Lorenzo 1 2006 Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms. Zbl 1408.35074Brandolese, Lorenzo; Cortez, Fernando 1 2019 Hexagonal structures in 2D Navier-Stokes flows. Zbl 1506.35137Brandolese, Lorenzo 1 2022 Hexagonal structures in 2D Navier-Stokes flows. Zbl 1506.35137Brandolese, Lorenzo 1 2022 Annihilation of slowly-decaying terms of Navier-Stokes flows by external forcing. Zbl 1462.35238Brandolese, Lorenzo; Okabe, Takahiro 1 2021 Uniqueness theorems for the Boussinesq system. Zbl 1440.35230Brandolese, Lorenzo; He, Jiao 3 2020 Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms. Zbl 1408.35074Brandolese, Lorenzo; Cortez, Fernando 1 2019 On a non-solenoidal approximation to the incompressible Navier-Stokes equations. Zbl 1378.35212Brandolese, Lorenzo 3 2017 A short proof of the large time energy growth for the Boussinesq system. Zbl 1386.76054Brandolese, Lorenzo; Mouzouni, Charafeddine 2 2017 Characterization of solutions to dissipative systems with sharp algebraic decay. Zbl 1381.42029Brandolese, Lorenzo 23 2016 A Liouville theorem for the Degasperis-Procesi equation. Zbl 1358.35088Brandolese, Lorenzo 6 2016 Local-in-space criteria for blowup in shallow water and dispersive rod equations. Zbl 1294.35089Brandolese, Lorenzo 63 2014 On permanent and breaking waves in hyperelastic rods and rings. Zbl 1295.35009Brandolese, Lorenzo; Cortez, Manuel Fernando 44 2014 Blowup issues for a class of nonlinear dispersive wave equations. Zbl 1293.35053Brandolese, Lorenzo; Cortez, Manuel Fernando 35 2014 Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217Brandolese, Lorenzo; Schonbek, Maria E. 69 2012 Breakdown for the Camassa-Holm equation using decay criteria and persistence in weighted spaces. Zbl 1256.35108Brandolese, Lorenzo 39 2012 \(L^p\)-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E. 16 2011 Fine properties of self-similar solutions of the Navier-Stokes equations. Zbl 1169.76014Brandolese, Lorenzo 21 2009 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316Biler, Piotr; Brandolese, Lorenzo 14 2009 Concentration-diffusion effects in viscous incompressible flows. Zbl 1162.76015Brandolese, Lorenzo 4 2009 On the effect of external forces on incompressible fluid motions at large distances. Zbl 1205.76073Bae, Hyeong-Ohk; Brandolese, Lorenzo 3 2009 Asymptotic behavior for the Navier-Stokes equations with nonzero external forces. Zbl 1238.76015Bae, Hyeong-Ohk; Brandolese, Lorenzo; Jin, Bum Ja 2 2009 Far field asymptotics of solutions to convection equation with anomalous diffusion. Zbl 1146.35318Brandolese, Lorenzo; Karch, Grzegorz 21 2008 New asymptotic profiles of nonstationary solutions of the Navier-Stokes system. Zbl 1127.35033Brandolese, Lorenzo; Vigneron, François 52 2007 On the localization of the magnetic and the velocity fields in the equations of magnetohydrodynamics. Zbl 1135.35060Brandolese, Lorenzo; Vigneron, François 2 2007 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015Biler, Piotr; Brandolese, Lorenzo 1 2006 Application of the realization of homogeneous Sobolev spaces to Navier-Stokes. Zbl 1127.35032Brandolese, Lorenzo 8 2005 Weighted \(L^2\)-spaces and strong solutions of the Navier-Stokes equations in \(\mathbb R^3\). Zbl 1081.35072Brandolese, Lorenzo 2 2005 Space-time decay of Navier-Stokes flows invariant under rotations. Zbl 1080.35062Brandolese, Lorenzo 65 2004 Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations. Zbl 1057.35026Brandolese, Lorenzo 24 2004 On the instantaneous spreading for the Navier-Stokes system in the whole space. Zbl 1080.35063Brandolese, Lorenzo; Meyer, Yves 16 2002 On the localization of symmetric and asymmetric solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 0973.35149Brandolese, Lorenzo 20 2001 all cited Publications top 5 cited Publications all top 5 Cited by 352 Authors 20 Han, Pigong 14 Brandolese, Lorenzo 13 Liu, Yue 11 Zhao, Xiaopeng 10 Zhu, Min 9 Wang, Ying 9 Wu, Jiahong 9 Zhou, Shouming 8 Karch, Grzegorz 8 Liu, Zhaoxia 6 Jin, Bumja 5 Biler, Piotr 5 Chen, Robin Ming 5 Qu, Changzheng 5 Wei, Long 5 Yin, Zhaoyang 5 Zhu, Mingxuan 4 Cheng, Wenguang 4 Duan, Ning 4 Fan, Lili 4 Gao, Hongjun 4 Guo, Fei 4 He, Cheng 4 Ishige, Kazuhiro 4 Jakubowski, Tomasz 4 Jia, Yan 4 Kawakami, Tatsuki 4 Kukavica, Igor 4 Lei, Keke 4 Liu, ChengGang 4 Mu, Chunlai 4 Niche, César J. 4 Novruzov, Emil B. 4 Okabe, Takahiro 4 Pilarczyk, Dominika 4 Qiao, Zhijun 4 Skalák, Zdeněk 4 Tsai, Tai-Peng 4 Wang, Xuewen 4 Wang, Yang 4 Xu, Tianzhou 4 Yamamoto, Masakazu 4 Yan, Weiping 3 Bae, Hyeong-Ohk 3 Cortez, Manuel Fernando 3 Deng, Xijun 3 Dong, Xiaofang 3 Ferreira, Lucas Catão de Freitas 3 Huseyin, Anar 3 Iftimie, Dragoş 3 Komo, Christian 3 Kurokiba, Masaki 3 Lai, Baishun 3 Mi, Yongsheng 3 Ogawa, Takayoshi 3 Schonbek, Maria Elena 3 Sugiyama, Yuusuke 3 Topalov, Peter J. 3 Wang, Lizhen 3 Wang, Weinan 3 Weng, Shangkun 3 Xue, Liutang 3 Yamazaki, Masao 3 Yan, Wei 3 Yang, Jiaqi 3 Ye, Hailong 3 Zhang, Ping 3 Zhao, Caidi 3 Zhao, Kun 2 Adhikari, Dhanapati 2 Chae, Dongho 2 Chang, Tongkeun 2 Chemin, Jean-Yves 2 Choe, Hi Jun 2 Cung The Anh 2 Deuring, Paul 2 Escobedo Martínez, Miguel 2 Fan, Jishan 2 Fang, Daoyuan 2 Freire, Igor Leite 2 Fujishima, Yohei 2 Gala, Sadek 2 Gao, Yu 2 Gui, Guilong 2 Guo, Boling 2 Guo, Yingying 2 Guo, Zhengguang 2 Hu, Tianqiao 2 Hu, Weiwei 2 Huang, Lili 2 Huseyin, Nesir 2 Jarrín, Oscar 2 Ji, Ruihong 2 Jiang, Zaihong 2 Jiu, Quansen 2 Kang, Kyungkeun 2 Le, Wenjun 2 Li, Fucai 2 Li, Hengyan 2 Liu, Jianguo ...and 252 more Authors all top 5 Cited in 100 Serials 39 Journal of Differential Equations 22 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Fluid Mechanics 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Physics 10 Journal of Functional Analysis 9 Applicable Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematical Methods in the Applied Sciences 8 Monatshefte für Mathematik 8 Discrete and Continuous Dynamical Systems 8 Nonlinear Analysis. Real World Applications 8 Journal of Evolution Equations 6 Archive for Rational Mechanics and Analysis 6 Nonlinearity 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Communications in Mathematical Physics 5 Advances in Mathematics 5 Applied Mathematics and Computation 4 Acta Applicandae Mathematicae 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems. Series B 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Physica D 3 Applied Mathematics Letters 3 Calculus of Variations and Partial Differential Equations 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Communications on Pure and Applied Analysis 3 Boundary Value Problems 2 Annales Polonici Mathematici 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Advances in Differential Equations 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Annales Henri Poincaré 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 SN Partial Differential Equations and Applications 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Revista Matemática Complutense 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Mathematicae Silesianae 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Modelling and Control 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Mathematics 1 Open Mathematics 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics all top 5 Cited in 30 Fields 328 Partial differential equations (35-XX) 205 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 12 Geophysics (86-XX) 10 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Numerical analysis (65-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year