Selected Publications
Francisco MARQUES

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Years: 1980's, 1990's, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2017, 2018, 2019, 2020, 2021, 2022, 2023.

Subjects:  Fluid Dynamics, 1990's to present.  Relativity, 1980's.

Refereed Journal Papers (Fluids)

2023:

F. Marques and Juan M. Lopez. `Impact of non-uniform ambient stratification on thermal plume dynamics,' Physical Review Fluids, 8(2), 023903, 25pp (2023).
Jose M. Lopez, Juan M. Lopez and F. Marques. `Stably Stratified Taylor-Couette flows,' Philosophical Transactions of the Royal Society A, 381(2246), 20220115 (2023).

2022:

Wang B., Ayats R., Meseguer A. and Marques F. `Phase-locking flows between orthogonally stretching parallel plates,' Physics of Fluids, 34(11) 114111, 30pp (2022).
Lopez, Juan M. and Marques, F. `Stratified Taylor-Couette flow: Nonlinear dynamics,' Journal of Fluid Mechanics, 930 A2, 31pp (2022).

2021:

Ayats R., Marques F., Meseguer A. and Weidman P.D. `Flows between orthogonally stretching parallel plates,' Physics of Fluids, 33(2), 024103, 14pp (2021)

2020:

Lopez, Juan M. and Marques, F. `Impact of centrifugal buoyancy on strato-rotational instability,' Journal of Fluid Mechanics, 890, A9, 19pp (2020)

2019:

Marques, F. and Meseguer, A. `Extensional and torsional pipe flow,' Physical Review Fluids, 4, 103908, 24pp (2019).

2018:

Lopez, Juan M. and Marques, F. `Rapidly rotating precessing cylinder flows: forced triadic resonances,' Journal of Fluid Mechanics, 839, 239--270 (2018).

2017:

Marques, F., Meseguer, A., Mellibovsky, F. and Weidman, P.D. 'Extensional channel flow revisited: a dynamical systems perspective,' Proceedings of the Royal Society A, 473, 20170151, 23pp (2017).

2016:

Lopez, Juan M. and Marques, F. 'Inertial waves in rapidly rotating flows: a dynamical systems perspective,' Physica Scripta, 91, 124001, 12pp (2016).
Lopez, Juan M. and Marques, F. `Nonlinear and detuning effects of the nutation angle in precessionally-forced rotating cylinder flow,' Physical Review Fluids, 1, 023602, 17pp (2016).

2015:

Marques, F. and Lopez, Juan M. `Precession of a rapidly rotating cylinder flow: traverse through resonance,' Journal of Fluid Mechanics, 782, 63-98 (2015).
Lopez, Jose M., Marques, F. and Avila, M. `Conductive and convective heat transfer in fluid flows between differentially heated and rotating cylinders,' International Journal of Heat and Mass Transfer, 90, 959-967 (2015).
Lopez, Jose M. and Marques, F. `Dynamics of axially localized states in Taylor Couette flows,' Physical Review E, 91(5), 053011, 14pp (2015).

2014:

Marques, F. and Lopez, Juan M. `Spontaneous generation of a swirling plume in a stratified ambient,' Journal of Fluid Mechanics, 761, 443-463 (2014).
Lopez, Juan M. and Marques, F. `Three-dimensional instabilities in a discretely heated annular flow: Onset of spatio-temporal complexity via defect dynamics,' Physics of Fluids, 26, 064102, 16pp (2014).
Curbelo, J., Lopez, Juan M., Mancho, A. M. and Marques, F. `Confined rotating convection with large Prandtl number: Centrifugal effects on wall modes,' Physical Review E, 89(1), 013019, 8pp (2014).
Lopez, Juan M.; Marques, F. `Rapidly rotating cylinder flow with an oscillating sidewall,' Physical Review E, 89(1), 013013, 14pp (2014). Kaleidoscope

2013:

Lopez, Jose M., Marques, F. and Avila, M. `The Boussinesq approximation in rapidly rotating flows,' Journal of Fluid Mechanics, 737, 56-77 (2013). See also arXiv:1304.5941 [physics.flu-dyn].
Lopez, Juan M. and Marques, F. `Instability of plumes driven by localized heating,' Journal of Fluid Mechanics, 736, 616-640 (2013).
Marques, F., Mellibovsky, F. and Meseguer, A. `Fold-pitchfork bifurcation for maps with Z2 symmetry in pipe flow,' Physical Review E, 88(1), 013006, 12pp (2013).
Panades, C., Marques, F. and Meseguer, A. `Mode competition in cylindrical flows driven by sidewall oscillations,' Physical Review E, 87(4), 043001, 17pp (2013).
Marques, F., Meseguer, A., Lopez, Juan M., Pacheco, J. R. and Lopez, Jose M. `Bifurcations with imperfect SO(2) symmetry and pinning of rotating waves,' Proceedings of the Royal Society A, 469, 2152 (2013). Complementary material in arXiv:1206.1643v1 [math.DS].

2012:

Altmeyer, S., Do, Y., Marques, F., and Lopez, Juan M. 'Symmetry-breaking Hopf bifurcations to 1-, 2-, and 3-tori in small-aspect-ratio counterrotating Taylor-Couette flow,' Physical Review E, 86, 046316, 17pp (2012).
Knobloch, E., Meseguer, A., and Marques, F., Editors of 'Special issue: Bifurcations in fluid dynamics-selected papers from the BIFD2011 Conference,' Fluid Dynamics Research, 44 (3), June 2012.

2011:

Lopez, Juan M. and Marques, F. `Instabilities and inertial waves generated in a librating cylinder,' Journal of Fluid Mechanics, 687, 171-193 (2011).
Panades, C., Marques, F. and Lopez, Juan M. `Transitions to three-dimensional flows in a cylinder driven by oscillations of the sidewall,' Journal of Fluid Mechanics, 681, 515-536 (2011); see also arXiv:1011.1029 [physics.flu-dyn].
Pacheco, J. R., Lopez, Juan M. and Marques, F. `Pinning of rotating waves to defects in finite Taylor-Couette flow,' Journal of Fluid Mechanics, 666, 254-272 (2011).

2010:

Lopez, Juan M. and Marques, F. `Sidewall boundary layer instabilities in a rapidly rotating cylinder driven by a differentially co-rotating lid,' Physics of Fluids, 22, 114109, 10pp (2010).
Do, Y., Lopez, Juan M. and Marques, F. `Optimal harmonic response in a confined Bödewadt boundary layer flow,' Physical Review E, 82(3), 036301, 8pp (2010).
Rubio, A., Lopez, Juan M. and Marques, F. `Onset of Kuppers-Lortz-like dynamics in finite rotating thermal convection,' Journal of Fluid Mechanics, 644, 337-357 (2010).

2009:

Lopez, Juan M., Marques, F., Rubio, A. M. and Avila, M. `Crossflow instability of finite Bodewadt flows: transients and spiral waves,' Physics of Fluids, 21, 114107, 9pp (2009).
Meseguer, A., Mellibovsky, F., Avila, M. and Marques, F. `Instability mechanisms and transition scenarios of spiral turbulence in Taylor-Couette flow,' Physical Review E, 80, 046315, 4pp (2009).
Lopez, Juan M. and Marques, F. `Centrifugal effects in rotating convection: nonlinear dynamics,' Journal of Fluid Mechanics, 628, 269-297 (2009).
Rubio, A., Lopez, Juan M. and Marques, F. `Interacting oscillatory boundary layers and wall modes in modulated rotating convection,' Journal of Fluid Mechanics, 625, 75-96 (2009).
Meseguer, A., Mellibovsky, F., Avila, M. and Marques, F. `Families of subcritical spirals in highly counter-rotating Taylor-Couette flow,' Physical Review E, 79(3), 036309, 7pp. (2009).
Meseguer, A., Mellibovsky, F., Marques, F. and Avila, M. `Shear instabilities in Taylor-Couette flow,' Advances in Turbulence XII, Ed. Bruno Eckhardt, Springer Proceedings in Physics, 132, 115-118 (2009).
Cui, Y. D., Lopez, Juan M., Lim, T. T. and Marques, F. `Harmonically forced enclosed swirling flow,' Physics of Fluids, 21(3), 034106, 10pp (2009).

2008:

Avila, M. Grimes, M., Lopez, Juan M. and Marques, F. `Global endwall effects on centrifugally stable flows,' Physics of Fluids, 20(10), 104104, 7pp (2008).
Abshagen, J., Lopez, Juan M., Marques, F. & Pfister G. `Bursting dynamics due to a homoclinic cascade in Taylor-Couette flow,' Journal of Fluid Mechanics, 613, 357-384 (2008).
Rubio, A., Lopez, Juan M. and Marques, F. `Modulated rotating convection: Radially traveling concentric rolls,' Journal of Fluid Mechanics, 608, 357-378 (2008).
Avila, M., Belisle, M. J., Lopez, Juan M., Marques, F. & Saric, W. S. `Mode competition in modulated Taylor-Couette flow,' Journal of Fluid Mechanics, 601, 381-406 (2008).
Lopez, Juan M., Cui, Y. D., Marques, F. & Lim, T. T. `Quenching of vortex breakdown oscillations via harmonic modulation,' Journal of Fluid Mechanics, 599, 441-464 (2008).
Marques, F. & Lopez, Juan M. `Influence of wall modes on the onset of bulk convection in a rotating cylinder,' Physics of Fluids, 20, 024109 (2008).

2007:

The European Physical Journal Special Topics
Lopez, Juan M., Marques, F., Mercader, I. & Batiste, O. `Onset of convection in a moderate aspect-ratio rotating cylinder: Eckhaus-Benjamin-Feir instability,' Journal of Fluid Mechanics, 590, 187-208 (2007).
Avila, M., Marques, F., Lopez, Juan M. & Meseguer, A. `Stability control and catastrophic transition in a forced Taylor-Couette system,' Journal of Fluid Mechanics, 590, 471-496 (2007).
A. Meseguer, A., Avila, M., Mellibovsky, F., and Marques, F. `Solenoidal spectral formulations for the computation of secondary flows in cylindrical and annular geometries,' The European Physical Journal Special Topics, 146, 249-259 (2007).
Marques, F., Mercader, I., Batiste, O. & Lopez, Juan M. `Centrifugal effects in rotating convection: Axisymmetric states and three-dimensional instabilities,' Journal of Fluid Mechanics, 580, 303-318 (2007).

2006:

Lopez, Juan M., Rubio, A. & Marques, F. (2006) `Traveling circular waves in axisymmetric rotating convection,' Journal of Fluid Mechanics, 569, 331-348.
Marques, F. & Lopez, JuanM. (2006) `Onset of three-dimensional unsteady states in small aspect-ratio Taylor-Couette flow,' Journal of Fluid Mechanics, 561, 255-277.
Avila, M., Meseguer, A. & Marques, F. (2006) `Double Hopf bifurcation in co-rotating spiral Poiseuille flow,' Physics of Fluids, 18(6), 064101.

2005:

Abshagen, J., Lopez, Juan M., Marques, F. & Pfister, G. (2005) `Mode competition of rotating waves in reflection-symmetric Taylor-Couette flow,' Journal of Fluid Mechanics, 540, 269-299.
Lopez, Juan M. & Marques, F. (2005) `Finite aspect ratio Taylor-Couette flow: Shil'nikov dynamics of 2-tori,' Physica D, 211, 168-191.
Meseguer, A. & Marques, F. (2005) `Bicritical instabilities in pressure driven helicoidal flows,' Journal of Physics: Conference Series, 14, 228-235.
Meseguer, A. & Marques, F. `On the stability of medium gap co-rotating spiral Poiseuille flow,' Physics of Fluids, 17(9), 094104. (2005)
Leung, J. J. F., Hirsa, A. H., Blackburn, H. M., Marques, F. & Lopez, Juan M. `Three-dimensional modes in a periodically driven elongated cavity,' Physical Review E, 71, 026305 (2005).
Abshagen, J., Lopez, Juan M., Marques, F. & Pfister, G. `Symmetry breaking via global bifurcations of modulated rotating waves in hydrodynamics,' Physical Review Letters, 94(7), 074501 (2005).
Blackburn, H. M., Marques, F. & Lopez, Juan M. `Symmetry breaking of two-dimensional time-periodic wakes,' Journal of Fluid Mechanics, 522, 395-411 (2005).

2004:

Iranzo, V., Marques, F. & Lopez, Juan M. `From global to local bifurcations in a forced Taylor-Couette flow,' Theoretical and Computational Fluid Dynamics 18(2-4), 115-128 (2004).
Lopez, Juan M. & Marques, F. `Mode competition between rotating waves in a swirling flow with reflection symmetry,' Journal of Fluid Mechanics, 507, 265-288 (2004).
Lopez, Juan M., Marques, F. & Shen, J. `Complex dynamics in a short annular container with rotating bottom and inner cylinder,' Journal of Fluid Mechanics, 501, 327-354 (2004).
Lopez, Juan M., Marques, F., Hirsa, A. H. & Miraghaie, R. `Symmetry breaking in free-surface cylinder flows,' Journal of Fluid Mechanics, 502, 99-126 (2004).
Marques, F., Lopez, Juan M. & Blackburn, H. M. `Bifurcations in systems with Z2 spatio-temporal and O(2) spatial symmetry,' Physica D, 189, 247-276 (2004).

2003:

Lopez, Juan M. & Marques, F. (2003) `Small aspect ratio Taylor-Couette flow: Onset of a very-low-frequency three-torus state,' Physical Review E, 68, 036302.
Marques, F., Gelfgat, A. Yu. & Lopez, Juan M. `Tangent double Hopf bifurcation in a differentially rotating cylinder flow,' Physical Review E, 68, 016310 (2003).

2002:

Lopez, Juan M. & Marques, F. `Modulated Taylor-Couette flow: Onset of spiral modes,' Theoretical and Computational Fluid Dynamics, 16, 59-69 (2002).
Lopez, Juan M., Hart, J. E., Mar ques, F., Kittelman, S. & Shen, J. `Instability and mode interactions in a differentially-driven rotating cylinder,' Journal of Fluid Mechanics, 462, 383-409 (2002).
Sanchez, J., Marques, F. & Lopez, Juan M. `A continuation and bifurcation technique for Navier-Stokes flows,' Journal of Computational Physics, 180, 78-98 (2002).
Marques, F., Lopez, Juan M. & Iranzo, V. `Imperfect Gluing Bifurcation in a Temporal Glide-Reflection Symmetric Taylor-Couette flow,' Physics of Fluids, 14(6), L33-L36 (2002).
Meseguer, A. & Marques, F. `On the competition between centrifugal and shear instability in spiral Poiseuille flow,' Journal of Fluid Mechanics, 455, 129-148 (2002).
Marques, F., Lopez, Juan M. & Shen, J. `Mode interactions in an enclosed swirling flow: A double Hopf between azimuthal wavenumbers 0 and 2,' Journal of Fluid Mechanics, 455, 263-281 (2002).
Lopez, Juan M., Marques, F. & Shen, J. `An Efficient Spectral-Projection Method for the Navier-Stokes Equations in Cylindrical Geometries II. Three dimensional cases,' Journal of Computational Physics, 176, 384-401 (2002).

2001:

Lopez, Juan M., Marques, F. & Sanchez, J. `Oscillatory modes in an enclosed swirling flow,' Journal of Fluid Mechanics, 439, 109-129 (2001).
Marques, F., Lopez, Juan M. & Shen, J. `A periodically forced flow displaying symmetry breaking via a three-tori gluing bifurcation and two-tori resonances,' Physica D, 156, 81-97 (2001).
Marques F. & Lopez, Juan M. `Precessing vortex breakdown mode in an enclosed cylinder flow,' Physics of Fluids, 13, 1679-1682 (2001).

2000:

Lopez, Juan M. & Marques, F. `Dynamics of three-tori in a periodically forced Navier-Stokes flow,' Physical Review Letters, 85, 972-975 (2000).
Meseguer, A. & Marques, F. `Axial Effects in the Taylor-Couette Problem: Spiral-Couette and Spiral-Poiseuille flows,' in Physics of Rotating Fluids. Ed. C. Egbers and G. Pfister. Lecture Notes in Physics, 549, 118-136 (2000). Springer-Verlag.
Lopez, Juan M., Marques, F. & Shen, J. `Endwall effects in a periodically forced centrifugally unstable flow,' Fluid Dynamics Research, 27, 91-108 (2000).
Lopez, Juan M. & Marques F. `Determining the self-rotation number following a Naimark-Sacker bifurcation in the periodically forced Taylor-Couette flow,' Journal of Applied Mathematics and Physics (Zeitschrift für angewandte Mathematik und Physik - ZAMP), 51, 61-74 (2000).
Meseguer A.& Marques F. `On the competition between centrifugal and shear instability in spiral Couette flow,' Journal of Fluid Mechanics, 402, 33-56 (2000).
Marques, F. & Lopez, Juan M. `Spatial and temporal resonances in a periodically forced extended system,' Physica D, 136, 340-352 (2000).
Lopez, Juan M. & Marques F. `Quasiperiodic response to parametric excitations,' in Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems. Ed. L. Tuckerman and E. Doedel. IMA Volumes in Mathematics and its Applications, 119, 209-228, (2000) Springer-Verlag.

1990's:

Marques, F., Sanchez, J. & Weidman, P.D. `Generalized Couette-Poiseuille flow with boundary mass transfer,' Journal of Fluid Mechanics, 374, 221-249 (1998).
Antonijoan, J., Marques, F. & Sanchez, J. `Nonlinear spirals in the Taylor-Couette problem,' Physics of Fluids, 10, 829-838 (1998).
Marques F. & Lopez, Juan M. `Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow,' Journal of Fluid Mechanics, 348, 153-175 (1997).
Meseguer A., Marques F. & Sanchez, J. `Feigenbaum's Universality in a Low-Dimensional Fluid Model,' International Journal of Bifurcations and Chaos, 6, 1587-1594 (1996).
Marques F., Net M., Massaguer J.M. & Mercader I. (1993) `Thermal Convection in Vertical Cylinders. A Method Based on Potentials of Velocity,' Computer Methods in Applied Mechanics and Engineering, 110, 157-169.
Sanchez, J., Crespo D. & Marques F. `Spiral vortices between concentric cylinders,' Applied Scientific Research (now Flow, Turbulence and Combustion), 51, 55-59 (1993).
Marques, F. `On Boundary Conditions for Velocity Potencials in confined Flows. Application to Couette Flow,' The Physics of Fluids A, 2, 729-737 (1990).

Refereed Journal Papers (Relativity)

1980's:

Other publications:


Home page of Francisco Marques