Communications in Mathematical Sciences

Volume 2 (2004)

Number 3

Contents

A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems

Thomas G. Kurtz and Jie Xiong

pp. 325-358

Gravity driven shallow water models for arbitrary topography

Francois Bouchut and Michael Westdickenberg

pp. 359-389

Domain decomposition algorithm for the parabolic equation with variable coefficient

Xia Cui, Xingping Liu, and Zhiqiang Sheng

pp. 391-402

Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations

A. A. Ilyin, A. Miranville, and E. S. Titi

pp. 403-426

Nonlinear Stability of two-layer flows

Fernando Menzaque, Paul Milewski, Ruben Rosales, Esteban Tabak, and Cristina Turner

pp. 427-442

The Broadwell model in a thin channel

Andrew J. Christlieb, James A. Rossmanith, and Peter Smereka

pp. 443-476

On large time step Godunov scheme for hyperbolic conservation laws

Jinghua Wang, Hairui Wen, and Tie Zhou

pp. 477-495

FDTD based second-order accurate local mesh refinement method for Maxwell's equations in two space dimensions

M. Brio, J. V. Moloney, and A. R. Zakharian

pp. 497-513

Time splitting for the Lioville equation in a random medium

Guillaume Bal and Lenya Ryzhik

pp. 515-534