Edit Profile (opens in new tab) Olson, Eric J. Compute Distance To: Compute Author ID: olson.eric-j Published as: Olson, Eric; Olson, Eric J.; Olson, E.; Olson, E. J. more...less Documents Indexed: 30 Publications since 1996 Co-Authors: 28 Co-Authors with 27 Joint Publications 910 Co-Co-Authors all top 5 Co-Authors 3 single-authored 13 Titi, Edriss Saleh 8 Robinson, James Cooper 6 Foiaş, Ciprian Ilie 4 Hoang, Luan Thach 4 Holm, Darryl D. 3 Chen, Shiyi 2 Cheskidov, Alexey 2 Fraser, Jonathan MacDonald 2 Martinez, Vincent R. 2 Wynne, Shannon 2 Ziane, Mohammed 1 Azouani, Abderrahim 1 Bessaih, Hakima 1 Blocher, Jordan 1 Celik, Emine 1 Gesho, Masakazu 1 Hayden, Kevin 1 Henderson, A. M. 1 Hill, Tahj 1 Jolly, Michael S. 1 McCormick, David S. 1 Neda, Monika 1 Pahlevani, Faranak 1 Rodrigo, José Luis 1 Sharples, Nicholas 1 Smith, Beau 1 Vidal-López, Alejandro 1 Zhou, Yi all top 5 Serials 3 Physica D 2 Indiana University Mathematics Journal 2 Real Analysis Exchange 2 International Journal of Numerical Analysis and Modeling 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Theoretical and Computational Fluid Dynamics 1 Advances in Mathematics 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Physics of Fluids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physical Review Letters 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Computational Physics 1 Pure and Applied Functional Analysis 1 Results in Applied Mathematics all top 5 Fields 19 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 5 Measure and integration (28-XX) 5 Systems theory; control (93-XX) 4 General topology (54-XX) 3 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 907 times in 463 Documents Cited by ▼ Year ▼ On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 140 2005 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 136 1998 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 107 1999 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 88 1999 Continuous data assimilation using general interpolant observables. Zbl 1291.35168Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 58 2014 Continuous data assimilation with stochastically noisy data. Zbl 1308.35161Bessaih, Hakima; Olson, Eric; Titi, Edriss S. 44 2015 Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011Olson, Eric; Titi, Edriss S. 38 2007 Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048Hayden, Kevin; Olson, Eric; Titi, Edriss S. 38 2011 Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402Olson, Eric; Titi, Edriss S. 37 2003 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 34 2016 Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034Foias, C.; Olson, E. 32 1996 On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C. 25 2015 Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190Olson, Eric; Titi, Edriss S. 20 2008 On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 14 2006 Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045Olson, Eric J.; Robinson, James C. 13 2010 On the continuity of global attractors. Zbl 1356.37027Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 12 2015 Bouligand dimension and almost Lipschitz embeddings. Zbl 1046.37013Olson, Eric 12 2002 Continuity of pullback and uniform attractors. Zbl 1383.37011Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 12 2018 The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 10 2009 Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276Celik, Emine; Olson, Eric; Titi, Edriss S. 9 2019 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 9 2019 Generalised Cantor sets and the dimension of products. Zbl 1371.28024Olson, Eric J.; Robinson, James C.; Sharples, Nicholas 7 2016 Data assimilation using noisy time-averaged measurements. Zbl 1398.93119Blocher, Jordan; Martinez, Vincent R.; Olson, Eric 5 2018 Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227Olson, Eric 4 2018 Lower bounds on blowing-up solutions of the three-dimensional Navier-Stokes equations in \(\dot H^{3/2}\), \(\dot H^{5/2}\), and \(\dot B^{5/2}_{2,1}\). Zbl 1344.35081McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi 2 2016 A simple example concerning the upper box-counting dimension of a Cartesian product. Zbl 1384.28008Olson, Eric J.; Robinson, James C. 1 2015 Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276Celik, Emine; Olson, Eric; Titi, Edriss S. 9 2019 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 9 2019 Continuity of pullback and uniform attractors. Zbl 1383.37011Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 12 2018 Data assimilation using noisy time-averaged measurements. Zbl 1398.93119Blocher, Jordan; Martinez, Vincent R.; Olson, Eric 5 2018 Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227Olson, Eric 4 2018 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 34 2016 Generalised Cantor sets and the dimension of products. Zbl 1371.28024Olson, Eric J.; Robinson, James C.; Sharples, Nicholas 7 2016 Lower bounds on blowing-up solutions of the three-dimensional Navier-Stokes equations in \(\dot H^{3/2}\), \(\dot H^{5/2}\), and \(\dot B^{5/2}_{2,1}\). Zbl 1344.35081McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi 2 2016 Continuous data assimilation with stochastically noisy data. Zbl 1308.35161Bessaih, Hakima; Olson, Eric; Titi, Edriss S. 44 2015 On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C. 25 2015 On the continuity of global attractors. Zbl 1356.37027Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 12 2015 A simple example concerning the upper box-counting dimension of a Cartesian product. Zbl 1384.28008Olson, Eric J.; Robinson, James C. 1 2015 Continuous data assimilation using general interpolant observables. Zbl 1291.35168Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 58 2014 Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048Hayden, Kevin; Olson, Eric; Titi, Edriss S. 38 2011 Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045Olson, Eric J.; Robinson, James C. 13 2010 The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 10 2009 Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190Olson, Eric; Titi, Edriss S. 20 2008 Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011Olson, Eric; Titi, Edriss S. 38 2007 On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 14 2006 On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 140 2005 Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402Olson, Eric; Titi, Edriss S. 37 2003 Bouligand dimension and almost Lipschitz embeddings. Zbl 1046.37013Olson, Eric 12 2002 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 107 1999 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 88 1999 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 136 1998 Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034Foias, C.; Olson, E. 32 1996 all cited Publications top 5 cited Publications all top 5 Cited by 556 Authors 45 Titi, Edriss Saleh 25 Rebholz, Leo G. 18 Holm, Darryl D. 18 Robinson, James Cooper 16 Olson, Eric J. 13 Foiaş, Ciprian Ilie 13 Jolly, Michael S. 12 Fraser, Jonathan MacDonald 12 Hoang, Luan Thach 10 Larios, Adam 10 Neda, Monika 9 Lewandowski, Roger 9 Lunasin, Evelyn M. 8 Deugoue, Gabriel 8 Layton, William J. 8 Martinez, Vincent R. 7 Farhat, Aseel 7 Fried, Eliot 7 Kim, Tae-Yeon 7 Liu, Wei 7 Tachim Medjo, Theodore 7 Tian, Lixin 6 Bessaih, Hakima 6 Dunca, Argus Adrian 6 Li, Shihu 6 Qiu, Hua 6 Razafimandimby, Paul André 6 Sango, Mamadou 6 Shen, Chunyu 6 Yamazaki, Kazuo 5 Berselli, Luigi Carlo 5 Biswas, Animikh 5 Law, Kody J. H. 5 Manica, Carolina Cardoso 4 Ali, Hani 4 Cao, Dat T. 4 Fan, Jishan 4 Friz, Peter Karl 4 Gao, Anna 4 Guermond, Jean-Luc 4 Hare, Kathryn E. 4 Kostianko, Anna 4 Linshiz, Jasmine S. 4 Mohseni, Kamran 4 Pei, Yuan 4 Pouquet, Annick G. 4 Smyth, Noel Frederick 4 Stuart, Andrew M. 4 Xie, Yingchao 4 Yue, Gaocheng 4 Zerfas, Camille 4 Zvyagin, Andreĭ Viktorovich 3 Bardos, Claude Williams 3 Bowers, Abigail L. 3 Busuioc, Adriana Valentina 3 Carlson, Elizabeth 3 Chueshov, Igor’ Dmitrievich 3 Cung The Anh 3 Du, Yi 3 Gal, Ciprian Gheorghe Sorin 3 García-Archilla, Bosco 3 Garcia, Ignacio 3 Glatt-Holtz, Nathan E. 3 Hausenblas, Erika 3 Hudson, Joshua 3 Käenmäki, Antti 3 Kalantarov, Varga K. 3 Langa, Jose’ Antonio 3 Li, Yanan 3 Margaris, Alexandros 3 Mininni, Pablo D. 3 Mondaini, Cecilia F. 3 Novo, Julia 3 Oliver, Marcel 3 Prudhomme, Serge 3 Rossi, Eino 3 Sadigov, Tural 3 Stanculescu, Iuliana 3 Troscheit, Sascha 3 Vasudevan, Shibi 3 Whitehead, Jared P. 3 Wilson, Nicholas E. 3 Yang, Zhijian 3 Yao, Zhengan 3 Zelik, Sergey V. 3 Zhong, Chengkui 3 Zhou, Shengfan 2 Albanez, Débora A. F. 2 Azouani, Abderrahim 2 Bach, Bui Huy 2 Bárány, Balázs 2 Belding, Jeffrey 2 Bisconti, Luca 2 Breckling, Sean 2 Catania, Davide 2 Chai, Xiaojuan 2 Chandy, Abhilash J. 2 Chen, Shiyi 2 Constantin, Adrian 2 de Leeuw, Bart M. ...and 456 more Authors all top 5 Cited in 152 Serials 35 Physica D 31 Journal of Mathematical Analysis and Applications 21 Journal of Differential Equations 11 Journal of Nonlinear Science 10 Journal of Mathematical Physics 10 Physics of Fluids 10 Journal of Mathematical Fluid Mechanics 10 Nonlinear Analysis. Real World Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Discrete and Continuous Dynamical Systems 8 SIAM Journal on Applied Dynamical Systems 7 Computer Methods in Applied Mechanics and Engineering 7 Applied Mathematics and Computation 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Discrete and Continuous Dynamical Systems. Series B 7 Communications on Pure and Applied Analysis 6 Proceedings of the American Mathematical Society 6 Numerical Methods for Partial Differential Equations 6 Journal of Turbulence 5 Applicable Analysis 5 Computers & Mathematics with Applications 5 Communications in Mathematical Physics 5 Journal of Computational Physics 5 Journal of Statistical Physics 5 Nonlinearity 5 Chaos, Solitons and Fractals 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Advances in Mathematics 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 4 Transactions of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 4 Applied Mathematics Letters 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Dynamics and Differential Equations 4 Abstract and Applied Analysis 4 Evolution Equations and Control Theory 4 Journal of Fractal Geometry 3 Computers and Fluids 3 Journal of Fluid Mechanics 3 Stochastic Analysis and Applications 3 Journal of Scientific Computing 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 Stochastic Processes and their Applications 3 NoDEA. Nonlinear Differential Equations and Applications 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Computational Fluid Dynamics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Journal of the Korean Mathematical Society 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Potential Analysis 2 SIAM Journal on Scientific Computing 2 Fractals 2 Mathematical Problems in Engineering 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Chaos 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Boundary Value Problems 2 Journal of Applied Analysis and Computation 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Wave Motion 1 Acta Mathematica Vietnamica 1 Automatica 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Real Analysis Exchange 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics ...and 52 more Serials all top 5 Cited in 34 Fields 301 Partial differential equations (35-XX) 293 Fluid mechanics (76-XX) 116 Dynamical systems and ergodic theory (37-XX) 51 Numerical analysis (65-XX) 41 Probability theory and stochastic processes (60-XX) 40 Measure and integration (28-XX) 39 Systems theory; control (93-XX) 26 Ordinary differential equations (34-XX) 14 Geophysics (86-XX) 9 General topology (54-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Statistics (62-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year