Title | Nonlinear Stochastic PDEs [electronic resource] : Hydrodynamic Limit and Burgers' Turbulence / edited by Tadahisa Funaki, Wojbor A. Woyczynski |
---|---|
Imprint | New York, NY : Springer New York, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8468-7 |
Descript | XVIII, 312 p. online resource |
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 -- 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 -- III. Stochastic Navier-Stokes Equation -- Stationary solutions of two-dimensional Navier-Stokes equations with random perturbation -- Nonlinear filtering of stochastic Navier-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