Communications in Mathematical Sciences

Volume 8 (2010)

Number 2

Special Issue on the Occasion of Andrew Majda’s Sixtieth Birthday: Part II

Contents

Preface

Shi Jin, Panagiotis E. Souganidis, Eric Vanden-Eijnden, and Xiaoming Wang

Hybrid deterministic stochastic systems with microscopic look-ahead dynamics

M. A. Katsoulakis, A. J. Majda, and A. Sopasakis

pp. 409-437

Reduced dynamics of stochastically perturbed gradient flows

Ibrahim Fatkullin, Gregor Kovačič, and Eric Vanden-Eijnden

pp. 439-461

Diffusion limit of the Vlasov-Poisson-Fokker-Planck system

Najoua El Ghani and Nader Masmoudi

pp. 463-479

Two coarse-graining studies of stochastic models in molecular biology

Adnan A. Khan, Peter R. Kramer, and Juan C. Latorre

pp. 481-517

Intraseasonal multi-scale moist dynamics of the tropical atmosphere

Joseph A. Biello and Andrew J. Majda

pp. 519-540

Dynamics of current-based, Poisson driven, integrate-and-fire neuronal networks

David Cai, Gregor Kovačič, Peter R. Kramer, Katherine A. Newhall, Aaditya V. Rangan, and Douglas Zhou

pp. 541-600

The exact evolution of the scalar variance in pipe and channel flow

Roberto Camassa, Zhi Lin, and Richard M. McLaughlin

pp. 601-626