Publications

See also the Google Scholar page.

2022

M.W. Harris, F.J. Poulin, K.G. Lamb, (2022), Inertial instabilities of stratified jets: Linear stability theory, Physics of Fluids.

N.K-R. Kevlahan, F.J. Poulin, (2022), Energy Spectra and Vorticity Dynamics in Two-Layer Shallow Water Ocean Model, Journal of Physical Oceanography.

2021

J. Tessier, N. Castro-Folker, F.J. Poulin, M. Stastna, (2021), Anisotropy in Faraday instabilities of a shallow conducting fluid. EPL (Europhysics Letters), 135 (3).

Y. Tao, S. Campbell, F.J. Poulin, (2021), Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay. SIAM Journal on Applied Mathematics, 81 (3).

2020

M.W. Harris, F.J. Poulin, K.G. Lamb, (2020), The instability of vertically curved fronts in a two-layer shallow water model. Physics of Fluids, 32 (12).

2019

G. Badin, F.J. Poulin, (2019), Asymptotic scale-dependent stability of surface quasi-geostrophic vortices: semi-analytic results. Geophysical & Astrophysical Fluid Dynamics, 113 (5-6).

A. Grace, M. Stastna, F.J. Poulin, (2019), Numerical simulations of the shear instability and subsequent degeneration of basin scale internal standing waves, Physical Review Fluids, 48 (4).

M. Magill, A. Coutino, B.A. Storer, M. Stastna, F.J. Poulin, Dynamics of nonlinear Alfvén waves in the shallow water magnetohydrodynamic equations, Physical Review Fluids, 4 (5).

2018

B.A. Storer, F.J. Poulin, C. Ménesguen, (2018), The dynamics of quasigeostrophic lens-shaped vortices, Journal of Physical Oceanography, 48 (4).

F.J. Poulin, A. Borissov, B.A. Storer, M. Stastna, (2018), A shallow water model of the solar tachocline: A numerical approach to determine wave structure, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Alg, 25.

2016

M. Kloosterman, S. Campbell, F. J. Poulin, (2016), An NPZ model with state-dependent delay due to size-structure in juvenile zooplankton, SIAM Journal on Applied Mathematics, 76 (2).

R. Duarte, X. Carton, F.J. Poulin, (2016), The dynamics of a meandering coastal jet in the lee of a cape, Regular and Chaotic Dynamics, 21 (3).

2015

M. Chanona, F.J. Poulin, J. Yawney, (2015), The stability of oceanic fronts in a shallow water model, Journal of Fluid Mechanics, 785.

E. Bembenek, F.J. Poulin, M. Waite, (2015), Realizing surface-driven flows in the primitive equations, Journal of Physical Oceanography, 45 (5).

2014

M. Kloosterman, S. Campbell, F.J. Poulin, (2014), A closed NPZ model with delayed nutrient recycling, Journal of mathematical biology, 68 (4).

F.J. Poulin, A. Stegner, M. Hernández-Arencibia, A. Marrero-Díaz, P. Sangrà, (2014), Steep shelf stabilization of the coastal Bransfield Current: Linear stability analysis, Journal of physical oceanography, 44 (2).

M. Stastna, F.J. Poulin, (2014), The stochastic mode of the Faraday instability of shallow fluid layers, EPL (Europhysics Letters), 106 (4).

R.L. Irwin, F.J. Poulin, (2014), The influence of stratification on the instabilities in an idealized two-layer ocean model, Journal of Physical Oceanography, 44 (10).

D.A.A. Taniguchi, P.J.S. Franks, F.J. Poulin, (2014), Planktonic biomass size spectra: an emergent property of size-dependent physiological rates, food web dynamics, and nutrient regimes, Marine Ecology Progress Series, 514.

2012

T. Rees, K.G. Lamb, F.J. Poulin, (2012), Asymptotic Analysis of the Forced Internal Gravity Wave Equation, SIAM Journal on Applied Mathematics, 72 (4).

A. Baglaenko, M. Stastna, D.T. Steinmoeller, F.J. Poulin, (2012), The effects of the spatial distribution of bottom topography and bottom drag on seiche-induced wave train formation, Water Quality Research Journal of Canada, 47 (3-4).

2011

M. Scott, F.J. Poulin, H. Tang, (2011), Approximating intrinsic noise in continuous multispecies models, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467.

X. Carton, F.J. Poulin, M. Pavec, Marc, (2011), Linear baroclinic and parametric instabilities of boundary currents, Geophysical & Astrophysical Fluid Dynamics, *105 (4-5).

D.T. Steinmoeller, S.J.D. D’Alessio, F.J. Poulin, (2011), Prograde and retrograde flow past cylindrical obstacles on a β-plane, Acta mechanica, **217 (1) **.

M. Stastna, F.J. Poulin, C. Subich, J.V. Mecking, (2011), The effect of stochastic perturbations on plankton transport by internal solitary waves, Nonlinear Processes in Geophysics, 18 (6).

2010

F.J. Poulin, P.J.S. Franks, (2010), Size-structured planktonic ecosystems: constraints, controls and assembly instructions, Journal of plankton research, 32 (8).

F.J. Poulin, (2010), The Linear Stability of Time-Dependent Baroclinic Shear, Journal of physical oceanography, 40 (3).

F.J. Poulin, G.R. Flierl, J. Pedlosky, (2010), The baroclinic adjustment of time-dependent shear flows, Journal of physical oceanography, 40 (8).

2009

M. Stastna, F.J. Poulin, K.L. Rowe, C. Subich, (2009), On fully nonlinear, vertically trapped wave packets in a stratified fluid on the f-plane, Physics of Fluids, 21 (10).

F.J. Poulin, (2009), Can long meridional length scales yield faster Rossby waves?, Journal of physical oceanography, 39 (2).

2008

F.J. Poulin, G.R. Flierl, (2008), The stochastic Mathieu’s equation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464.

F.J. Poulin, K. Rowe, (2008), On “A Consistent Theory for Linear Waves of the Shallow-Water Equations on a Rotating Plane in Midlatitudes”, Journal of physical oceanography, 38 (9).

2007

M. Stastna, F.J. Poulin, (2007), On the existence of solitary wave solutions to the shallow-water equations on the f plane, Journal of physical oceanography, 37 (3).

2005

F.J. Poulin, G.R.Flierl, (2005), The influence of topography on the stability of jets, Journal of physical oceanography, 35 (5).

F.J. Poulin, M. Scott, (2005), Stochastic parametric resonance in shear flows, Nonlinear Processes in Geophysics, 12 (6).

2003

F.J. Poulin, G.R. Flierl, (2003), The nonlinear evolution of barotropically unstable jets, Journal of physical oceanography, 33 (10).

F.J. Poulin, G.R. Flierl, J. Pedlosky, (2003), Parametric instability in oscillatory shear flows, Journal of fluid mechanics, 481.

1999

F.J. Poulin, G.E. Swaters, (1999), Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. I. Model derivation and stability characteristics, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 455.

F.J. Poulin, G.E. Swaters, (1999), Sub–inertial dynamics of density–driven flows in a continuously stratified fluid on a sloping bottom. II. Isolated eddies and radiating cold domes, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 455.

F.J. Poulin, G.E. Swaters, (1999), Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. Part 3. Nonlinear stability theory, Can. Appl. Maths Q, 7.