My CV, with a complete publication list PDF format
An Introduction to KAM Theory PDF format
Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on $\real^2$. Postscript format or PDF format.
Long-time asymptotics of the Navier-Stokes and vorticity equations on $\real^3$. Postscript format or PDF format.
Reduced equations for models of laminated materials in thin domains. Postscript format or PDF format.
Higher order corrections to the KdV approximation for a Boussinesq equation. Postscript format or PDF format.
On the validity of 2D water wave models. Postscript format.
Propagation of ultra-short optical pulses in nonlinear media. PDF format.
Global stability of vortex solutions of the two-dimensional Navier-Stokes equation. Postscript format or PDF format.
Ultra-short pulses in linear and nonlinear media. Postscript format or PDF format.
Existence and stability of asymmetric Burgers vortices. PDF format.
Three-dimensional stability of Burgers vortices: the low Reynolds number case. PDF format.
Invariant Manifolds and the Stability of Traveling Waves in Scalar Viscous Conservation Laws. PDF format
Lectures on dynamical systems and partial differential equations with applications to the Navier-Stokes equations. PDF format.
Long tails in the long time asymptotics of quasi-linear hyperbolic-parabolic systems of conservation laws. PDF format
Generalized Helmholtz-Kirchoff model for two dimensional distributed vortex motion. PDF format
Outline and references for lectures on "Coherent Motions in the Fermi-Pasta-Ulam Model" delived at the Nantes Summer School on Hamiltonian Partial Differential Equations . PDF format
Counterpropagating two-soliton solutions in the FPU lattice. PDF format
Asymptotic two-soliton solutions solutions in the Fermi-Pasta-Ulam model. PDF format
Using global invariant manifolds to understand metastability in Burgers equation with small viscosity. PDF format
Asymptotic stabilty of the Toda m-soliton. PDF format
A multi-moment vortex method for 2D viscous fluids. PDF format
Justification of the NLS approximation for a quasilinear water wave model. PDF format (Correction to preceding manuscript: PDF format)
Relative equilibria of the (1+N)-vortex problem. PDF format
Metastability and rapid convergence to quasi-stationary bar states for the 2D Navier-Stokes equations. PDF format
Orbital stability of localized structures via Backlund transfomations. PDF format
Dissipative partial differential equations and dynamical systems. PDF format
Inverse spectral theory for uniformly open gaps in a weighted Sturm-Liouville problem. PDF format
Analysis of enhanced diffusion in Taylor dispersion via a model problem. PDF format
An explanation of metastability in the viscous Burgers equation with periodic boundary conditions via a spectral analysis. PDF format
Modified energy functionals and the NLS approximation. PDF format
Energy dissipation in Hamiltonian chains of rotators. PDF format
Breathers as metastable states for the discrete NLS equation. PDF format
Critical points of the Strichartz functional. PDF format
Vortices in stably-stratified rapidly rotating Boussinesq convection. PDF format
Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity PDF format