Communications in Mathematical Sciences

Volume 5 (2007)

Number 2

Contents

On the existence and compactness of a two-dimensional resonant system of conservation laws

Kenneth H. Karlsen, Michel Rascle, and Eitan Tadmor

pp. 253-265

A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations

Juan Pablo Borgna, Peter A. Markowich, Christian Schmeiser, and Rada M. Weishäupl

pp. 299-312

Eigenvalues of an alignment matrix in nonlinear manifold learning

Chi-Kwong Li, Ren-Cang Li, and Qiang Ye

pp. 313-329

An efficient modulo $P$ multiplication algorithm with moderate factors of P$+1 and $P$-1

Ren-Junn Hwang, Sheng-Hua Shiau, and Feng-Fu Su

pp. 383-389

Well-posedness of 3D vortex sheets with surface tension

David M. Ambrose and Nader Masmoudi

pp. 391-430

Self-induced stochastic resonance for Brownian ratchets under load

R. E. Lee DeVille and Eric Vanden-Eijnden

pp. 431-466

Physical and numerical viscosity for quantum hydrodynamics

Ansgar Jüngel and Jospa Pina Milišić

pp. 447-471

Fast Communications

Moderate dispersion in conservation laws with convex fluxes

Benoït Perthame and Lenya Ryzhik

pp. 473-484