Averaging principle and hyperbolic evolution equations
نویسندگان
چکیده
منابع مشابه
Averaging Principle for Differential Equations with Hysteresis
The goal of this paper is to extend the averaging technique to new classes of hysteresis operators and oscillating functions as well as to bring more consistency into the exposition. In the first part of the paper, making accent on polyhedral vector sweeping processes, we keep in mind possible applications to the queueing theory where these processes arise naturally. In the second part we conce...
متن کاملExponential Averaging for Hamiltonian Evolution Equations
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial differential equation and a high-frequency nonlinear oscillator. Assuming spatial analyticity of the initial conditions, we show that the dynamics can be transformed to the uncoupled dynamics of an infinite-dimensional Hamiltonian system and an anharmonic oscillator, up to coupling terms which are ex...
متن کاملAveraging principle for a class of stochastic reaction–diffusion equations
We consider the averaging principle for stochastic reaction–diffusion equations. Under some assumptions providing existence of a unique invariant measure of the fast motion with the frozen slow component, we calculate limiting slow motion. The study of solvability of Kolmogorov equations in Hilbert spaces and the analysis of regularity properties of solutions, allow to generalize the classical ...
متن کاملSome classifications of hyperbolic vector evolution equations
Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations Utx = f(U,Ut, Ux) for an N -component vector U(t, x) are considered. In each class we find all scalinghomogeneous equations admitting a higher symmetry of least possible scaling weight. Sigma model interpretations of these equations are presented.
متن کاملStrongly hyperbolic second order Einstein’s evolution equations
BSSN-type evolution equations are discussed. The name refers to the Baumgarte, Shapiro, Shibata, and Nakamura version of the Einstein evolution equations, without introducing the conformal-traceless decomposition but keeping the three connection functions and including a densitized lapse. It is proved that a pseudodifferential first order reduction of these equations is strongly hyperbolic. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2012
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.10.034