Publications

Please note that copyright for all published articles resides with the publisher.

Models of coalescence (with Bob Pego ).

The scaling attractor and ultimate dynamics for Smoluchowski's coagulation equations, J. Nonlinear Sci. , 2007 , (to appear).

Universality classes in Burgers turbulence, Comm. Math. Phys. , 2007 , doi:10.1007/s00220-007-0251-1.

Dynamical scaling in Smoluchowski's coagulation equation: uniform convergence, SIAM Review, 48, 2006 , 748-768.

Approach to self-similarity in Smoluchowski's coagulation equations, Comm. Pure. Appl. Math , 57 , 2004 , 1197-1232 .

Viscous fingering (with Felix Otto ).

Diffusive slowdown in miscible viscous fingering, Comm. Math. Sci , 4 , 2006 , 257-273.

Dynamic scaling in miscible viscous fingering, Comm. Math. Phys , 257 , 2005 , 303-317.

Other stuff

Mathematical approaches to dynamic scaling, J. Non-Newtonian Fluid Mech. , 2007 , doi:10.1016/j.jnnfm.2007.01.003.

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

Maxwell-Bloch equations, (with George Haller ).

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

Silnikov manifolds in coupled nonlinear Schrödinger equation, Phys. Lett. A, 263 , 1999 , 175-185.

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

Boundary element methods (with Subrata Mukherjee and Glaucio Paulino ).

Analysis of hypersingular residual error estimates in boundary element methods for potential problems. Comput. Methods. Appl. Mech. Engrg., 173 , 1999 , 449-473.

Error estimation using hypersingular integrals in boundary element methods for linear elasticity. Engineering Analysis with Boundary Elements, 25, 2001 , pp.523-534.

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