Publications

Research Articles

2024

S. Gomé, A. Rivière, L.S. Tuckerman, D. Barkley, Percolating transition to turbulence without puffs or bands arXiv

2023

D. Panda, L. Kahouadji, L.S. Tuckerman, S. Shin, J. Chergui, D. Juric, O.K. Matar, Axisymmetric and azimuthal waves on a vibrated sessile drop (pdf) Phys. Rev. Fluids 8, 110510 (2023)

S. Gomé, L.S. Tuckerman, D. Barkley, Patterns in transitional shear flows. Part 1. Energy transfer and mean-flow interaction (pdf) J. Fluid Mech. 964, A16 (2023) arXiv

S. Gomé, L.S. Tuckerman, D. Barkley, Patterns in transitional shear flows. Part 2: Emergence and optimal spacing (pdf), J. Fluid Mech. 964, A17 (2023) arXiv

2022

S. Gomé, L.S. Tuckerman, D. Barkley, Extreme events in transitional turbulence, Phil. Trans. R. Soc. A 380, 0036 (2022) (pdf).

2021

N. Deng, L.R. Pastur, L.S. Tuckerman, B.R. Noack, Coinciding local bifurcations in the Navier-Stokes equations, EPL 135, 24002 (2021) (pdf).

Y. Bengana, L.S. Tuckerman, Frequency prediction from exact or self-consistent mean flows, Phys. Rev. Fluids 6, 063901 (2021)   (pdfarXiv

2020

S. Gomé, L.S. Tuckerman, D. Barkley, Statistical transition to turbulence in plane channel flow, Phys. Rev. Fluids 5, 08390 (2020). (pdf)

L.S. Tuckerman, Richocheting inclined layer convection states, J. Fluid Mech. 900, F1 (2020). (pdf)

L.S. Tuckerman, Computational Challenges of Nonlinear Systems, in Emerging Frontiers in Nonlinear Science, ed. P. Kevrekidis, A. Saxena, J. Cuevas, Springer (2020). (pdf)

R. Agrawal, A. Alexakis, M.E. Brachet, L.S. Tuckerman, Turbulent cascade, bottleneck and thermalized spectrum in hyperviscous flows, Phys. Rev. Fluids 5, 024601 (2020). (pdf)

L.S. Tuckerman, M. Chantry, D. Barkley, Patterns in Wall-Bounded Shear Flows, Annu. Rev. Fluid Mech. 52, 343-367 (2020). http://www.annualreviews.org/eprint/PAJDRFVAJFBUMIFJBYA3/full/10.1146/annurev-fluid-010719-060221

2019

Y. Bengana, J.-Ch. Loiseau, J.-Ch. Robinet, L.S. Tuckerman, Bifurcation analysis and frequency prediction in shear-driven cavity flow (pdf), J. Fluid Mech. 875, 725-757 (2019).

A. Ebo-Adou, L.S. Tuckerman, S. Shin, J. Chergui, D. Juric, Faraday instability on a sphere: numerical simulations (pdf), J. Fluid Mech. 870, 433-459 (2019).

Y. Bengana, L.S. Tuckerman, Spirals and ribbons in counter-rotating Taylor-Couette flow: frequencies from mean flows and heteroclinic orbits (pdf), Phys. Rev. Fluids 4, 044402 (2019).

2018

T. Dessup, L.S. Tuckerman, J.E. Wesfreid, D. Barkley, A.P. Willis, The self-sustaining process in Taylor-Couette flow (pdf), Phys. Rev. Fluids 3, 123902 (2018).

L.S. Tuckerman, J. Langham, A.P. Willis, Order-of-magnitude speedup for steady states and traveling waves via Stokes preconditioning in Channeflow and Openpipeflow (pdf), in Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics, Computational Methods in Applied Sciences, ed. A. Gelfgat (Springer, 2018).

2017

M. Brynjell-Rahkola, L.S. Tuckerman, P. Schlatter, D.S. Henningson, Computing optimal forcing using Laplace preconditioning (pdf), Commun. Comput. Phys. 22, 1508-1532 (2017).

M. Chantry, L.S. Tuckerman, D. Barkley, Universal continuous transition to turbulence in a planar shear flow (pdf), J. Fluid Mech. 824, R1 (2017)  arXiv

F. Feudel, L.S. Tuckerman, M. Zaks, R. Hollerbach, Hysteresis of dynamos in rotating spherical shell convection (pdf), Phys. Rev. Fluids 2, 053902 (2017).

L. Klotz, G. Lemoult, I. Frontczak, L.S. Tuckerman, J.E. Wesfreid, Couette-Poiseuille flow experiment with zero mean advection velocity: subcritical transition to turbulence (pdf), Phys. Rev. Fluids 2, 043904 (2017).

2016

A. Ebo Adou, L.S. Tuckerman, Faraday instability on a sphere: Floquet analysis (pdf), J. Fluid Mech. 805, 591-610 (2016).

M. Chantry, L.S. Tuckerman, D. Barkley, Turbulent-laminar patterns in planar shear flows without walls (pdf), J. Fluid Mech. 791, R8 (2016). arXiv

2015

L.S. Tuckerman, Laplacian Preconditioning for the Inverse Arnoldi Method (pdf), Commun. Comput. Phys. 18, 1336-1351 (2015). doi:10.4208/cicp.281114.290615a

F. Feudel, L.S. Tuckerman, M. Gellert, N. Seehafer, Bifurcations of rotating waves in rotating spherical shell convection (pdf), Phys. Rev. E 92, 053015 (2015).

L. Kahouadji, N. Perinet, L.S. Tuckerman, S. Shin, J. Chergui, D. Juric, Numerical simulation of super-square patterns in Faraday waves (pdf), J. Fluid Mech. 772, R2 (2015). arXiv

S.E. Turton, L.S. Tuckerman, D. Barkley, Prediction of frequencies in thermosolutal convection from mean flows (pdf), Phys. Rev. E 91, 043009 (2015). arXiv

2014

L.S. Tuckerman, T. Kreilos, H. Schrobsdorff, T.M. Schneider, J.F. Gibson, Turbulent-laminar patterns in plane Poiseuille flow (pdf) , Physics of Fluids 26, 114103 (2014). arXiv

L.S. Tuckerman, Taylor vortices versus Taylor columns (pdf), , J. Fluid Mech. 750, 1-4 (2014).

H.A. Dijkstra, F.W. Wubs, A.K. Cliffe, E. Doedel, I.F. Dragomirescu, B. Eckhardt, A.Y. Gelfgat, A.L. Hazel, V. Lucarini, A.G. Salinger, E.T. Phipps, J. Sanchez-Umbria, H. Schuttelaars, L.S. Tuckerman, U. Thiele, Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation (pdf), Commun. Comput. Phys. 15, 1-45 (2014).

2013

Z. Gao, A. Sergent, B. Podvin, S. Xin, P. Le Quéré, L.S. Tuckerman, Transition to chaos of natural convection between two infinite differentially heated vertical plates (pdf), Phys. Rev. E 88, 023010 (2013).

S. Shin, J. Chergui, D. Juric, A. Farhaoui, L. Kahouadji, L.S. Tuckerman, N. Périnet, Parallel direct numerical simulation of three-dimensional two-phase flows (pdf), 8th Int. Conf. on Multiphase Flow, Jeju, Korea, May 26-31, 2013.

F. Feudel, N. Seehafer, L.S. Tuckerman, M. Gellert, Multistability in rotating spherical shell convection (pdf), Phys. Rev. E 87, 023021 (2013).

L.S. Tuckerman, Motifs turbulent-laminaire dans l’écoulement de Poiseuille plan (pdf), in Rencontre du Non-linéaire 2009, ed. E. Falcon, M. Lefranc, F. Pétrélis, C.-T. Pham (Institut Henri Poincaré, Non-Linéaire Publications, 2013).

2012

N. Périnet, D. Juric, L.S. Tuckerman, Alternating hexagonal and striped patterns in Faraday surface waves (pdf), Phys. Rev. Lett. 109, 164501 (2012). arXiv

N. Périnet, D. Juric, L.S. Tuckerman, Exotic behavior of hexagonal patterns in Faraday waves (pdf), Revista Cubana de Fisica 29, 1E (2012)

L.S. Tuckerman, Amplitudes from eigenvalues (pdf), Fluid Dyn. Res. 44, 031202 (2012). http://stacks.iop.org/1873-7005/44/031202

P. Szaltys, M. Chrust, A. Przadka, S. Goujon-Durand, L.S. Tuckerman, J.E. Wesfreid, Nonlinear evolution of instabilities behind spheres and disks (pdf), J. Fluids Structures, 28, 483 (2012).

2011

L.S. Tuckerman, D. Barkley, Patterns and dynamics in transitional plane Couette flow (pdf), Phys. Fluids 23, 041301 (2011).

F. Feudel, K. Bergemann, L.S. Tuckerman, C. Egbers, B. Futterer, M. Gellert, R. Hollerbach, Convection patterns in a spherical fluid shell (pdf), Phys. Rev. E. 83, 046304 (2011).

2010

K.J.H. Law, P.G. Kevrekidis, L.S. Tuckerman, Stable vortex-bright soliton structures in two-component Bose-Einstein condensates (pdf), Phys. Rev. Lett. 105, 160405 (2010). Journal http://prl.aps.org/pdf/PRL/v105/i16/e160405
Erratum (pdf), Phys. Rev. Lett. 106, 199903 (2011). Journal http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.106.199903

K. Boronska, L.S. Tuckerman, Extreme multiplicity in cylindrical Rayleigh-Benard convection. I. Time dependence and oscillations (pdf), Phys. Rev. E 81, 036320 (2010). arXiv, DOI: 10.1103/PhysRevE.81.036320. Journal http://link.aps.org/doi/10.1103/PhysRevE.81.036320

K. Boronska, L.S. Tuckerman, Extreme multiplicity in cylindrical Rayleigh-Benard convection. II. Bifurcation diagram and symmetry classification (pdf), Phys. Rev. E 81, 036321 (2010). arXiv , DOI: 10.1103/PhysRevE.81.036321. Journal http://link.aps.org/doi/10.1103/PhysRevE.81.036321

L. Bordja, L.S. Tuckerman, L. Martin Witkowski, M.C. Navarro, D. Barkley, R. Bessaih, Influence of counter-rotating von Karman flow on cylindrical Rayleigh-Benard convection (pdf), Phys. Rev. E 81, 036322 (2010). arXiv, DOI: 10.1103/PhysRevE.81.036322. (The above versions have been corrected to incorporate the Erratum Phys. Rev. E 81, 069903 (2010).)

M.C. Navarro, L. Martin Witkowski, L.S. Tuckerman, P. Le Quéré, Building a reduced model for non-linear dynamics in Rayleigh-Benard convection with counter-rotating disks (pdf), Phys. Rev. E 81, 036323 (2010). DOI: 10.1103/PhysRevE.81.036323. Journal http://link.aps.org/doi/10.1103/PhysRevE.81.036323

L.S. Tuckerman, D. Barkley, O. Dauchot, Instability of uniform turbulent plane Couette flow: spectra, probability distribution functions and K-Ω closure model (pdf). Seventh IUTAM Symposium on Laminar-Turbulent Transition, IUTAM Bookseries, Vol 18, Ed. P. Schlatter, D. Henningson (Springer, 2010).

2009

N. Périnet, D. Juric & L.S. Tuckerman, Numerical simulation of Faraday waves (pdf), J. Fluid Mech. 635, 1-26 (2009). Arxiv http://www.arxiv.org/abs/0901.0464 . (color preprint).

N. Périnet, D. Juric, L.S. Tuckerman, Simulation numérique des ondes de Faraday (pdf) in Rencontre du Non-linéaire 2009, ed. M. Lefranc, C. Letellier, L. Pastur (Institut Henri Poincaré, Non-Linéaire Publications, 2009).

L.S. Tuckerman, D. Barkley, D. Moxey, O. Dauchot, Order parameter in laminar-turbulent patterns (pdf), in Advances in Turbulence XII, Springer Proceedings in Physics, Vol. 132, p. 89-91, ed. B. Eckhardt (Springer, 2009) DOI: 10.1007/978-3-642-03085-7.

2008

L.S. Tuckerman, D. Barkley and O. Dauchot, Statistical analysis of the transition to turbulent-laminar banded patterns in plane Couette flow (pdf), J. Phys.: Conf. Ser. 137, 012029 (2008).

K. Bergemann, F. Feudel, L.S. Tuckerman, GeoFlow: On symmetry-breaking bifurcations of heated spherical shell convection (pdf), J. Phys.: Conf. Ser. 137, 012027 (2008).

L.S. Tuckerman, K. Boronska, Multiplicité extrême de motifs convectifs (pdf), in Rencontre du Non-linéaire 2008, ed. M. Lefranc, C. Letellier, L. Pastur (Institut Henri Poincaré, Non-Linéaire Publications, 2008).

2007

D. Barkley and L.S. Tuckerman, Mean flow of Turbulent-Laminar Patterns in Plane Couette Flow (pdf), J. Fluid Mech. 559, 109-137 (2007). Cambridge Online Journals page. arXiv

P. Boronski and L.S. Tuckerman, Poloidal-toroidal decomposition in a finite cylinder: I. Influence matrices for the magnetohydrodynamic equations (pdf), J. Comput. Phys. 227, 1523-1543 (2007). arXiv

P. Boronski and L.S. Tuckerman, Poloidal-toroidal decomposition in a finite cylinder. II. Discretization, regularization and validation (pdf), J. Comput. Phys. 227, 1544-1566 (2007). arXiv

L.S. Tuckerman, D. Barkley, Mean flow and modeling of turbulent plane Couette flow (pdf), in Advances in Turbulence XI, Springer Proceedings in Physics, Vol. 117, p. 224-226, DOI: 10.1007/978-3-540-72604-3_71 ed. by J.M.L.M. Palma and A. Silva Lopes (Springer, 2007)

2006

K. Boronska and L.S. Tuckerman Standing and travelling waves in cylindrical Rayleigh-Bénard convection (pdf) J. Fluid Mech. 559, 279-298 (2006). Cambridge Online Journals page. arXiv

2005

D. Barkley and L.S. Tuckerman, Turbulent-laminar patterns in plane Couette flow (pdf), in IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, ed. by T. Mullin & R. Kerswell, (Springer, Dordecht, 2005), p. 107-127. arXiv

D. Barkley and L.S. Tuckerman, Computational study of turbulent laminar patterns in Couette flow (pdf), Phys. Rev. Lett. 94, 014502 (2005). Journal URL http://link.aps.org/abstract/PRL/v94/e014502, DOI doi:10.1103/PhysRevLett.94.014502 arXiv

2004

L.S. Tuckerman, Binary fluid convection as a 2 x 2 matrix problem (pdf), in Instabilities and non-equilibrium structures IX, ed. by O. Descalzi, J. Martinez, and S. Rica, (Kluwer, Dordecht, 2004).

L.S. Tuckerman, C. Huepe, and M.-E. Brachet, Numerical methods for bifurcation problems (pdf), in Instabilities and non-equilibrium structures IX, ed. by O. Descalzi, J. Martinez, and S. Rica, (Kluwer, Dordecht, 2004).

C. Nore, M. Tartar, O. Daube, and L.S. Tuckerman, Survey of instability thresholds of flow between exactly counter-rotating disks (pdf), J. Fluid Mech. 511, 45-65 (2004). Cambridge Online Journals page.

2003

C. Nore, L.S. Tuckerman, O. Daube, and S. Xin, The 1:2 mode interaction in exactly counter-rotating von Kármán swirling flow (pdf), J. Fluid Mech. 477, 51-88 (2003). Cambridge Online Journals page.

D. Barkley and L.S. Tuckerman Numerical simulation of banded turbulence in plane Couette flow (pdf). Presented at the 13th International Couette Taylor Workshop, July 3-5, 2003, Barcelona, Spain

K. Boronska and L.S. Tuckerman, Ondes stationnaires et progressives dans la convection de Rayleigh Bénard en géométrie cylindrique (pdf), in Rencontre du Non-linéaire 2003, ed. by R. Ribotta (Paris Onze Editions, Orsay, 2003).

C. Huepe, L.S. Tuckerman, S. Metens, and M.E. Brachet, Stability and decay rates of non-isotropic attractive Bose-Einstein condensates (pdf), Phys. Rev. A. 68, 023609 (2003). arXiv

M. Abid, C. Huepe, S. Métens, C. Nore, C.T. Pham, L.S. Tuckerman, and M.E. Brachet, Gross-Pitaevskii Dynamics of Bose-Einstein Condensates and Superfluid Turbulence (pdf), Fluid Dyn. Res. 33, 509-544 (2003). DOI doi:10.1016/j.fluiddyn.2003.09.001

2002

H. Hristova, S. Roch, P.J. Schmid, and L.S. Tuckerman, Transient growth in Taylor-Couette flow (pdf), Physics of Fluids 14, 3475-3484 (2002). arXiv

H. Hristova, S. Roch, P.J. Schmid, and L.S. Tuckerman, Transient growth in exactly counter-rotating Couette-Taylor flow (pdf), Theoretical and Computational Fluid Dynamics 16, 43-48 (2002).

L.S. Tuckerman and D. Barkley, Symmetry breaking and turbulence in perturbed plane Couette flow (pdf) , Theoretical and Computational Fluid Dynamics 16, 91-97 (2002). arXiv

2001

L.S. Tuckerman, Thermosolutal and binary fluid convection as a 2 x 2 matrix problem (pdf), Physica D 156, 325-363 (2001). DOI doi:10.1016/S0167-2789(01)00284-6 arXiv

2000

L.S. Tuckerman, La convection binaire comme problème matriciel 2 x 2 (pdf), in Rencontre du Non-linéaire 2000, ed. by R. Ribotta (Paris Onze Editions, Orsay, 2000).

L.S. Tuckerman and D. Barkley, Bifurcation analysis for timesteppers (pdf), in Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, ed. by E. Doedel and L.S. Tuckerman (Springer, New York, 2000).

L.S. Tuckerman, F. Bertagnolio, O. Daube, P. Le Quéré, and D. Barkley, Stokes preconditioning for the inverse Arnoldi method (pdf) in Continuation Methods for Fluid Dynamics (Notes on Numerical Fluid Mechanics, Vol. 74), ed. by D. Henry and A. Bergeon (Vieweg, 2000), p. 241-255.

D. Barkley, L.S. Tuckerman and M. Golubitsky, Bifurcation theory for three-dimensional flow in the wake of a circular cylinder (pdf) , Phys. Rev. E 61, 5247-5252 (2000). Journal URL http://link.aps.org/abstract/PRE/v61/p5247 DOI doi:10.1103/PhysRevE.61.5247

D. Barkley and L.S. Tuckerman, Diagramme de bifurcation pour écoulement de Couette plan perturbé (pdf) in Rencontre du Non-linéaire 2000, ed. by R. Ribotta (Paris Onze Editions, Orsay, 2000).

1999

D. Barkley and L.S. Tuckerman, Stability analysis of perturbed plane Couette flow (pdf), Phys. Fluids 11, 1187-1195 (1999). arXiv

1998

D. Barkley and L.S. Tuckerman, Linear and nonlinear stability analysis of perturbed plane Couette flow (pdf), in Proceedings of the Seventh European Turbulence Conference, ed. by U. Frisch (Kluwer Academic Publishers, Dordrecht, 1998).

S. Xin, P. Le Quéré, and L.S. Tuckerman, Bifurcation analysis of double-diffusive convection with opposing horizontal thermal and solutal gradients (pdf), Phys. Fluids. 10, 850-858 (1998). Xin et al., Phys. Fluids 10, 850 (1998).

A. Bergeon, D. Henry, H. BenHadid, and L.S. Tuckerman, Marangoni convection in binary mixtures with Soret effect (pdf), J. Fluid Mech. 375, 143-177 (1998). Cambridge Online Journals page.

1997

D. Barkley and L.S. Tuckerman, Stokes preconditioning for the inverse power method (pdf), in Lecture Notes in Physics: Proc. of the Fifteenth Intl. Conf. on Numerical Methods in Fluid Dynamics, ed. by P. Kutler, J. Flores, and J.-J. Chattot (Springer, New York, 1997), p. 75-76. http://dx.doiorg/10.1007/BFb0107081 at Springer.

O. Lioubashevski, J. Fineberg, and L.S. Tuckerman, Scaling of the transition to parametrically driven surface waves in highly dissipative systems (pdf), Phys. Rev. E 55, R3832-R3835 (1997). Journal URL http://link.aps.org/abstract/PRE/v55/pR3832. DOI doi:10.1103/PhysRevE.55.R3832

1996

T. Besson, W.S. Edwards, and L.S. Tuckerman, Two-frequency parametric excitation of surface waves (pdf), Phys. Rev. E 54, 507-513 (1996). Journal URL http://link.aps.org/abstract/PRE/v54/p507

T. Dauxois, S. Fauve and L.S. Tuckerman, Stability of periodic arrays of vortices (pdf), Phys. Fluids 8, 487-495 (1996).

E. Chenier, C. Dang Vu, and L.S. Tuckerman, Computation of bifurcations in thermal and capillary convection, in Flow Modeling and Turbulence Measurements VI, ed. by C. Chen, C. Shih, J. Lienau, and R. Kung (Balkema, Rotterdam, 1996).

1995

C.K. Mamun and L.S. Tuckerman, Asymmetry and Hopf bifurcation in spherical Couette flow (pdf), Phys. Fluids 7, 80-91 (1995). Journal URL Mamun and Tuckerman, Phys. Fluids 7, 80 (1995).

1994

K. Kumar and L.S. Tuckerman, Parametric instability of the interface between two fluids (pdf), J. Fluid Mech. 279, 49-68 (1994). Cambridge Online Journals page .

W.S. Edwards, L.S. Tuckerman, R.A. Friesner, and D. Sorensen, Krylov Methods for the Incompressible Navier-Stokes Equations, (pdf), J. Comput. Phys. 110, 82-102 (1994). DOI doi:10.1006/jcph.1994.1007

A. Bergeon, D. Henry, H. BenHadid, and L.S. Tuckerman, Stability analysis of Marangoni convection in binary mixtures subjected to the Soret effect, ASME J. of Heat Transfer, Heat Transfer in Microgravity Systems, ASME, HTD – Vol. 290, 63-69 (1994).

1992

M. Kness, L.S. Tuckerman, and D. Barkley, Symmetry-breaking bifurcations in one-dimensional excitable media (pdf) , Phys. Rev. A 46, 5054-5062 (1992). Journal URL http://link.aps.org/abstract/PRA/v46/p5054 DOI doi:10.1103/PhysRevA.46.5054

H. Löwen, J. Bechhoefer, and L.S. Tuckerman, Crystal Growth at Long Times: Critical Behavior at the Crossover from Diffusion to Kinetics-Limited Regimes (pdf) , Phys. Rev. A. 45, 2399-2415 (1992). Journal URL http://link.aps.org/abstract/PRA/v45/p2399 DOI doi:10.1103/PhysRevA.45.2399

L.S. Tuckerman and J. Bechhoefer, A Dynamical Mechanism for the Formation of Metastable Phases: The Case of Two Non-Conserved Order Parameters (pdf) , Phys. Rev. A 46, 3178-3192 (1992). Journal URL http://link.aps.org/abstract/PRA/v46/p3178 DOI doi:10.1103/PhysRevA.46.3178

1991

J. Bechhoefer, H. Löwen, and L.S. Tuckerman, A Dynamical Mechanism for the Formation of Metastable Phases (pdf), Phys. Rev. Lett. 67, 1266-1269 (1991). Journal URL http://link.aps.org/abstract/PRL/v67/p1266, DOI 10.1103/PhysRevLett.67.1266

W.S. Edwards, R.P. Tagg, B.C. Dornblaser, L.S. Tuckerman, and H.L. Swinney, Periodic Traveling Waves with Nonperiodic Pressure (pdf). Eur. J. Mech. B/Fluids 10, 205-210 (1991). Here is a compressed version (smaller file, lower quality) . These versions have been corrected to incorporate the Erratum in Eur. J. Mech./B 10, 575 (1991). Scans of the originals available upon request.

A.J. Bard, G. Denuault, B.C. Dornblaser, R.A. Friesner, and L.S. Tuckerman, Scanning Electrochemical Microscopy: Theory and Application of the Transient (Chronoamperometric) SECM Response (pdf), Analytical Chemistry 63, 1282-1288 (1991). Journal http://pubs.acs.org/doi/pdf/10.1021/ac00013a019,
DOI: 10.1021/ac00013a019

L.S. Tuckerman and D. Barkley, Comment on Bifurcation structure and the Eckhaus instability (pdf) , Phys. Rev. Lett. 67, 1051-1054 (1991). Journal URL http://link.aps.org/abstract/PRL/v67/p1051, doi:10.1103/PhysRevLett.67.1051

1990

L.S. Tuckerman and D. Barkley, Bifurcation analysis of the Eckhaus instability (pdf) , Physica D 46, 57-86 (1990). Summary, Abstract. doi:10.1016/0167-2789(90)90113-4. Erratum (pdf) Physica D 59, 430 (1992).

L.S. Tuckerman, Bifurcation analysis of the Eckhaus instability, in Nonlinear Structures in Physical Systems, ed. by L. Lam and H.C. Morris (Springer, New York, 1990).

D. Barkley, M. Kness, and L.S. Tuckerman, Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation (pdf) , Phys. Rev. A 42, 2489-2492 (1990). Journal URL http://link.aps.org/abstract/PRA/v42/p2489, doi:10.1103/PhysRevA.42.2489

L.S. Tuckerman and D. Barkley, Traveling waves in axisymmetric convection, in New Trends in Nonlinear Dynamics and Pattern Forming Phenomena, ed. by P. Coullet and P. Huerre (Plenum, New York, 1990).

1989

L.S. Tuckerman, Steady-state solving via Stokes preconditioning; recursion relations for elliptic operators (pdf) in Lecture Notes in Physics: Proc. of the Eleventh Int’l. Conf. on Numerical Methods in Fluid Dynamics, ed. by D.L. Dwoyer, M.Y. Hussaini, and R.G. Voigt (Springer, New York, 1989), p. 573-577.

L.S. Tuckerman, Divergence-free velocity fields in nonperiodic geometries (pdf), J. Comput. Phys. 80, 403-441 (1989). Abstract. doi:10.1016/0021-9991(89)90108-3

L.S. Tuckerman, Transformations of matrices into banded form (pdf), J. Comput. Phys., 84, 360-376 (1989). Abstract. doi:10.1016/0021-9991(89)90238-6

R.A. Friesner, L.S. Tuckerman, B.C. Dornblaser, T.V. Russo, A Method for Exponential Propagation of Large Systems of Stiff Nonlinear Differential Equations (pdf), J. Sci. Comput. 4, 327-354 (1989)

D. Barkley and L.S. Tuckerman, Traveling waves in axisymmetric convection: the role of sidewall conductivity (pdf), Physica D 37, 288-294 (1989). doi:10.1016/0167-2789(89)90136-X

1988

L.S. Tuckerman and D. Barkley, Global bifurcation to travelling waves in axisymmetric convection (pdf), Phys. Rev. Lett. 61, 408-411 (1988). Journal URL http://link.aps.org/abstract/PRL/v61/p408 doi:10.1103/PhysRevLett.61.408

1987

P.S. Marcus and L.S. Tuckerman, Simulation of flow between concentric rotating spheres. Part 1. Steady states (pdf), J. Fluid Mech. 185, 1-30 (1987). Cambridge Online Journals page.

P.S. Marcus and L.S. Tuckerman, Simulation of flow between concentric rotating spheres. Part 2. Transitions (pdf), J. Fluid Mech. 185, 31-65 (1987). Cambridge Online Journals page .

P. Manneville and L.S. Tuckerman, Phenomenological modeling of the first bifurcations of spherical Couette flow (pdf), J. de Physique 48, 1461-1469 (1987).

1985

L.S. Tuckerman and P.S. Marcus, Formation of Taylor vortices in spherical Couette flow (pdf), in Lecture Notes in Physics (No. 218): Proc. of the Ninth Int’l. Conf. on Numerical Methods in Fluid Dynamics, ed. by Soubbarameyer and J.P. Boujot (Springer, New York, 1985).

1981

M. Dembo, L.S. Tuckerman, and W. Goad, Motion of polymorphonuclear leukocytes; theory of receptor redistribution and the frictional force on a moving cell (pdf) , Cell Motility 1, 205 (1981).

Other publications:

Translation into English of L’Ordre dans le Chaos : vers une Approche Déterministe à la Turbulence by P. Berge, Y. Pomeau, and C. Vidal (Hermann, Paris, 1984). U.S. edition: Order within Chaos: Towards a Deterministic Approach to Turbulence (Wiley-Interscience, New York, 1986).

Editor of: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, ed. by E. Doedel and L.S. Tuckerman (Springer, New York, 2000).

Historical article: Les pendules de Huygens, Pour la Science, No. 310, 2003.

P. Le Gal and L. S. Tuckerman, Editorial of topical issue of EPJE Irreversible Dynamics: a topical issue dedicated to Paul Manneville, Eur. Phys. J. E 37 22 (2014). (pdf)

L.S. Tuckerman, Math or Physics?, Normale Physics Review N7, March 9, 2021

L.S. Tuckerman, Formation of Taylor Vortices in Spherical Couette Flow, PhD thesis, MIT, 1984

Publications of interest by other researchers:

P. Boronski, Spectral method for matching exterior and interior elliptic problems (pdf), J. Comput. Phys. 225, 449-463 (2007).