##
Nonlinear Stochastic PDE'S: Hydrodynamic Limit
and Burgers' Turbulence

#### IMA Volume 77

ISBN 0-387-94624-1

Springer-Verlag Information/Order Form

Editors: **Tadahisa Funaki** and **Wojbor A. Woyczynski**

** CONTENTS**

Part I. Hydrodynamic limit, random media,and related problems

Hydrodynamic limit for lattice gas reversible under Bernoulli measures

** ***T. Funaki, K. Uchiyama, and H.T. Yau*

Equilibrium fluctuations of nongradient reversible particle systems

** ***Chih-Chung Chang*

The reversible measures of a conservative system with
finite range interactions

** ***Ming Zhu *

Diffusion in disordered media

** ***J. Quastel*

Reaction-diffusion equations in the random media: localization and
intermittency

** ***S. Molchanov *

Approximation of a one-dimensional stochastic PDE by local mean field
type lattice systems

*J. Fritz and B. Rüdiger*

Sharp asymptotics of diffusion processes with small parameter
and applications to metastable behavior

** ***Makoto Sugiura *

Part II. Burgers' turbulence
Intermediate asymptotics of statistical solutions of Burgers' equation

** ***Donatas Surgailis *

On a stochastic PDE related to Burgers' equation with noise

** ***Kenji Handa*

Shock density in Burgers' turbulence

** ***Yiming Hu and W.A. Woyczynski *

Model description of passive tracer
density fields in the framework of Burgers' and other related model
equations

*A.I. Saichev and W.A. Woyczynski *

Evaluation of spectral behavior for large ensembles of exact solutions to Burgers' equation for
Thomas initial conditions

** ***Steven Keleti and XB Reed, Jr. *

Part III. Stochastic Navier-Stokes equation
Stationary solutions of two-dimensional
Navier-Stokes equations with random perturbation

** ***P.L. Chow *

Nonlinear filtering of stochastic Navier-Stokes
equation

** ***S.S. Sritharan *

Mesoscopic modelling and stochastic
simulations of turbulent flows

** ***H.P. Breuer and F. Petruccione *

Algebraic energy spectra in stochastic problems for the
incompressible Navier--Stokes equation; relation to other
nonlinear problems

** ***William C. Meecham *

*The IMA's workshop on Nonlinear Stochastic Partial Differential Equationswas held during the week of March 21,
1993.
IMA Volumes in Mathematics and its Applications