Nonlinear Waves and Fluid Dynamics:

" Nonlinear Hamiltonian waves with constant frequency and surface waves on vorticity discontinuities "Comm. Pure and Applied Mathematics,63303-336 (2010) with John K. Hunter

" Nonlinearly coupled KdV equations describing the interaction of equatorial and midlatitude Rossby waves "Chinese Ann. Math. Ser. B,30483-504 (2009)

" The Hamiltonian description of incompressible fluid ellipsoids "Annals of Physics3741747-1762, (2009) with P.J. Morrison and N.R. Lebovitz

Atmospheric Sciences:

"A data-driven multicloud model for stochastic parameterization of deep convectionPhil. Trans. Roy. Soc A,submitted(2012) with J. Dorrestijn, D.T. Crommelin and S.J. Boing.

" A mulstiscale model for the modulation and rectification of the ITCZ "J. Atmos. Sci,submitted(2012) with A. J. Majda

" Convective momentum transport in a simple multicloud model for organized convection "J. Atmos. Sci,69281-302 (2012) with B. Khouider and H. Ying

" Intraseasonal multiscale moist dynamics of the tropical atmosphere ".Comm. Math. Sci,8519-540 (2010) with A. J. Majda

" A stochastic multicloud model for tropical convection "Comm. Math Sci,8187-216 (2010) with B. Khouider amd A. J. Majda

"Meridional Momentum Flux and Superrotation in the multi-scale IPESD MJO models "J. Atmos. Sci,641636-1651 (2007) with A. J. Majda and Mitch Moncrieff.

" Modulating synoptic scale convective activity and boundary layer dissipation in the IPESD models of the Madden-Julian Oscillation"Dynam. Atmos. Oceans42, 152-215 (2006), with A. Majda

" Transformations for temperature flux in multi-scale models of the tropics"Theor. Comput. Fluid Dynam.,20, 405--420 (2006), with A. Majda.

"A new multiscale model for the Madden-Julian Oscillation."J. Atmos. Sci,62, 1694-1721, (2005), with A. Majda.

"A multiscale model for tropical intraseasonal oscillations."P. Natl A Sci,101, pp 4736-4741 (2004), with A. Majda.

"Boundary layer dissipation and the nonlinear interaction of equatorial baroclinic and barotropic Rossby Waves."Geophys Astro Fluid, 98, pp 85-127 (2004) with A Majda. There are two pretty important typographical errors in the manuscript: equations (41) and (53). The first term in the symmetric barotropic Rossby wave amplitude equation should be a TIME derivative. However, this is clear from the context.

"The effect of meridional and vertical shear on the interaction of equatorial baroclinic and barotropic Rossby waves."Stud Appl Math, 112, pp 341-390 (2004) with A. Majda.

"The nonlinear interaction of barotropic and equatorial baroclinic Rossby waves."J.Atmos.Sci, 60, pp 1809-1821 (2003) with A. Majda.

in collaboration with P.R. Kramer and Y.V. LvovWeak Turbulence and the Fermi Pasta Ulam Problem:

"Stages of energy transfer in the Fermi Pasta Ulam model"

"Application of weak turbulence theory to the Fermi Pasta Ulam model"

Both of these papers appeared in a special issue of Discrete and Continuous Dynamical Systems (2002)

Double Diffusive Convection and Astrophysics:

Layer formation in Double diffusive convection Ph.D. thesis, University of Chicago, 2001.

An html version of a more detailed analysis of the computations can be seen here .

Instabilities of exact, time-periodic solutions of the incompressible Euler equations.JFM404pp 269-287 (2000) with Kenneth I Saldanha and Norman Lebovitz .

A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha Group collaboration,Phys Fluids16 (15) 1668-1693, (2004) with various collaborators.

Instabilities of exact, time-periodic solutions of the incompressible Euler equations.JFM404pp 269-287 (2000) with Kenneth I Saldanha and Norman Lebovitz .

.Double Diffusive Instability in a tall thin slotwith N.J.Balmforth,JFM375pp 203-233 (1998)

Proper Motion Anisotropy, Rotation and the Shape of the Galactic Bulgewith H.S. Zhao and R.M.Rich,Ap. J.,47,506-512.

Hamiltonian structure of the reversible 1:1 resonance (not published, but a neat result)

Double diffusive instability experiment . This was an experiment that I performed while a student at the WHOI GFD summer school in 1996. Jack Whitehead generously donated the lab space and the equipment.