Random Periodic Solutions of Stochastic Burgers Equation

نویسندگان

  • Huaizhong Zhao
  • Zuo-Huan Zheng
چکیده

The dynamics of randomly forced Burgers and Euler-Lagrange equations in S 1 × R d−1 in the case when there is only one one-sided minimizer in a compact subset of S 1 × R d−1 is studied. The existence of random invariant periodic minimizer orbits and periodicity of the stationary solution of the stochastic Burgers equations are obtained.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Periodic Wave Shock solutions of Burgers equations

In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...

متن کامل

Burgers Turbulence and Dynamical Systems

random burgers equation, random Hamilton-Jacobi equation, uniqueness of global minimizers We discuss a dynamical system approach to a problem of Burgers turbulence. It is shown that there exists a unique stationary distribution for solutions to spatially periodic inviscid random forced Burgers equation in arbitrary dimension. The construction is based on analysis of minimizing orbits for time-d...

متن کامل

THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION

This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.  

متن کامل

Pathwise stationary solutions of stochastic Burgers equations with L[0, 1]-noise and stochastic Burgers integral equations on infinite horizon

In this paper, we show the existence and uniqueness of the stationary solution u(t, ω) and stationary point Y (ω) of the differentiable random dynamical system U : R×L[0, 1]×Ω → L[0, 1] generated by the stochastic Burgers equation with L[0, 1]-noise and large viscosity, especially, u(t, ω) = U(t, Y (ω), ω) = Y (θ(t, ω)), and Y (ω) ∈ H[0, 1] is the unique solution of the following equation in L[...

متن کامل

Markov jump process approximation of the stochastic Burgers equation ∗

Stochastics and Dynamics, 4(2004),245–264. We consider the stochastic Burgers equation ∂ ∂t ψ(t, r) = ∆ψ(t, r) +∇ψ(t, r) + √ γψ(t, r)η(t, r) (1) with periodic boundary conditions, where t ≥ 0, r ∈ [0, 1], and η is some spacetime white noise. A certain Markov jump process is constructed to approximate a solution of this equation.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006