Dynamical systems and related topics


Complete integrability of shock clustering and Burgers turbulence , Arch. Rational Mech. Anal. Vol. 203, (2012).

Lesser known miracles of Burgers equation. Acta Mathematica Scientia , Vol. 32 (2012) (in honor of Constantine Dafermos).

The scaling attractor and ultimate dynamics for Smoluchowski's coagulation equations, J. Nonlinear Sci. , Vol. 18 (2008).

Gradient systems with wiggly energies and related averaging problems, Arch. Rational. Mech. Anal., Vol. 162 (2002), 193-246.

Infinite-dimensional geometric singular perturbation theory for the Maxwell-Bloch equations, SIAM J. Math. Anal., Vol. 33 (2001), 315-346.

Silnikov manifolds in coupled nonlinear Schrödinger equations, Phys. Lett. A, Vol. 263 (1999), 175-185.

Gevrey class regularity for the attractor of the laser equations, Nonlinearity, Vol. 12 (1999), 1505-1510.