Communications in Mathematical Sciences

Volume 10 (2012)

Number 1

Special Issue on the Occasion of C. David Levermore’s Sixtieth Birthday

Contents

Duality-based asymptotic-preserving method for highly anisotropic diffusion equations

Pierre Degond, Fabrice Deluzet, Alexei Lozinski , Jacek Narski, and Claudia Negulescu

pp. 1-31

Remarks on Oldroyd-B and related complex fluid models

Peter Constantin and Weiran Sun

pp. 33-73

The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition

Claude Bardos, François Golse, and Lionel Paillard

pp. 159-190

Euler-Poincaré formulation of hybrid plasma models

Darryl D. Holm and Cesare Tronci

pp. 191-222

The continuum limit of Toda lattices for random matrices with odd weights

Nicholas M. Ercolani and Virgil U. Pierce

pp. 267-305

The role of fluctuations in coarse-grained descriptions of neuronal networks

David Cai, Gregor Kovačič, David W. McLaughlin, Aaditya V. Rangan, Maxim S. Shkarayev, and Louis Tao

pp. 307-354

Diffuse interface surface tension models in an expanding flow

Andrea Bertozzi, Theodore Kolokolnikov, and Wangyi Liu

pp. 387-418