Institute for Mathematics and its Applications

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.

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