## Olson, Eric J.

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
2005
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
1998
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Continuous data assimilation with stochastically noisy data. Zbl 1308.35161
Bessaih, Hakima; Olson, Eric; Titi, Edriss S.
2015
Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011
Olson, Eric; Titi, Edriss S.
2007
Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048
Hayden, Kevin; Olson, Eric; Titi, Edriss S.
2011
Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402
Olson, Eric; Titi, Edriss S.
2003
A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027
Gesho, Masakazu; Olson, Eric; Titi, Edriss S.
2016
Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034
Foias, C.; Olson, E.
1996
On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014
Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C.
2015
Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190
Olson, Eric; Titi, Edriss S.
2008
On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
2006
Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045
Olson, Eric J.; Robinson, James C.
2010
On the continuity of global attractors. Zbl 1356.37027
Hoang, Luan T.; Olson, Eric J.; Robinson, James C.
2015
Bouligand dimension and almost Lipschitz embeddings. Zbl 1046.37013
Olson, Eric
2002
Continuity of pullback and uniform attractors. Zbl 1383.37011
Hoang, Luan T.; Olson, Eric J.; Robinson, James C.
2018
The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
2009
Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
2019
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204
Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S.
2019
Generalised Cantor sets and the dimension of products. Zbl 1371.28024
Olson, Eric J.; Robinson, James C.; Sharples, Nicholas
2016
Data assimilation using noisy time-averaged measurements. Zbl 1398.93119
Blocher, Jordan; Martinez, Vincent R.; Olson, Eric
2018
Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227
Olson, Eric
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 1344.35081
McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi
2016
A simple example concerning the upper box-counting dimension of a Cartesian product. Zbl 1384.28008
Olson, Eric J.; Robinson, James C.
2015
Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
2019
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204
Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S.
2019
Continuity of pullback and uniform attractors. Zbl 1383.37011
Hoang, Luan T.; Olson, Eric J.; Robinson, James C.
2018
Data assimilation using noisy time-averaged measurements. Zbl 1398.93119
Blocher, Jordan; Martinez, Vincent R.; Olson, Eric
2018
Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227
Olson, Eric
2018
A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027
Gesho, Masakazu; Olson, Eric; Titi, Edriss S.
2016
Generalised Cantor sets and the dimension of products. Zbl 1371.28024
Olson, Eric J.; Robinson, James C.; Sharples, Nicholas
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 1344.35081
McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi
2016
Continuous data assimilation with stochastically noisy data. Zbl 1308.35161
Bessaih, Hakima; Olson, Eric; Titi, Edriss S.
2015
On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014
Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C.
2015
On the continuity of global attractors. Zbl 1356.37027
Hoang, Luan T.; Olson, Eric J.; Robinson, James C.
2015
A simple example concerning the upper box-counting dimension of a Cartesian product. Zbl 1384.28008
Olson, Eric J.; Robinson, James C.
2015
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048
Hayden, Kevin; Olson, Eric; Titi, Edriss S.
2011
Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045
Olson, Eric J.; Robinson, James C.
2010
The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
2009
Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190
Olson, Eric; Titi, Edriss S.
2008
Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011
Olson, Eric; Titi, Edriss S.
2007
On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
2006
On a Leray-$$\alpha$$ model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
2005
Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402
Olson, Eric; Titi, Edriss S.
2003
Bouligand dimension and almost Lipschitz embeddings. Zbl 1046.37013
Olson, Eric
2002
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
1998
Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034
Foias, C.; Olson, E.
1996
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
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### 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
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### 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)