"Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence" ed. by Tadahisa Funaki and Wojbor A. Woyczynski
The IMA Volumes in Mathematics and its Applications, 77
IMA / Springer | 1996 | ISBN: 0387946241 1461384702 9780387946245 | 319 pages | PDF | 9 MB
This volume is a collection of research papers in the area of nonlinear stochastic partial differential equations. The book is suitable for mathematicians and students
The first section contains work on fundamental problems of hydrodynamic limit for particle systems and on random media.
The second part groups together papers under the umbrella of the name "Burgers' turbulence", although a broader spectrum of stochastic problem for the Burgers' equation is actually addressed.
The last part deals with the stochastic Navier-Stokes equation both from mathematical and physical perspective.
CONTENTS FOREWORD
PREFACE
PART I. HYDRODYNAMIC LIMIT, RANDOM MEDIA, AND RELATED PROBLEMS
Hydrodynamic limit for lattice gas reversible under Bernoulli measures
Equilibrium fluctuations of nongradient reversible particle systems
The reversible measures of a conservative system with finite range interactions.
Diffusion in disordered media.
Reaction-diffusion equations in the random media: localization and intermittency
Approximation of a one-dimensional stochastic PDE by local mean field type lattice systems
Sharp asymptotics of diffusion processes with small parameter and applications to metastable behavior
PART II. BURGERS' TURBULENCE
Intermediate asymptotics of statistical solutions of Burgers' equation
On a stochastic PDE related to Burgers' equation with noise
Shock density in Burgers' turbulence
Model description of passive tracer density fields in the framework of Burgers' and other related model equations
Evaluation of spectral behavior for large ensembles of exact solutions to Burgers' equation for Thomas initial conditions
PART III. STOCHASTIC NAVIER-STOKES EQUATION
Stationary solutions of two-dimensional N avier-Stokes equations with random perturbation.
Nonlinear filtering of stochastic N avier-Stokes equation.
Mesoscopic modelling and stochastic simulations of turbulent flows
Algebraic energy spectra in stochastic problems for the incompressible Navier-Stokes equation; relation to other nonlinear problems
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