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    "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence" ed. by Tadahisa Funaki, Wojbor A. Woyczynski

    Posted By: exLib
    "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence" ed. by Tadahisa Funaki, Wojbor A. Woyczynski

    "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
    1st with TOC BookMarkLinks