Recent Advances in Nonlinear Partial Differential Equations and Applications

Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity by S. Klainerman The formation of shocks in 3-dimensional fluids by D. Christodoulou Occupation time for two dimensional Brownian motion in a wedge by F. A. Grunbaum and C. McGrouther The semiclassical focusing nonlinear Schrodinger equation by R. Buckingham, A. Tovbis, S. Venakides, and X. Zhou An extension to a classical theorem of Liouville and applications by Y. Li From Green to Lax via Fourier by A. S. Fokas Untangling wall turbulence through direct simulations by J. Jimenez Defects, singularities and waves by L. L. Bonilla and A. Carpio Fluid dynamics from Boltzmann equations by C. D. Levermore From the Boltzmann equation to the incompressible Navier-Stokes equations by F. Golse Hyperbolic conservation laws with involutions and contingent entropies by C. M. Dafermos