3 edition of **Asymptotic methods and stochastic models in problems of wave propagation.** found in the catalog.

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- 11 Currently reading

Published
**1971**
by American Mathematical Society in Providence, R.I
.

Written in English

- Seismic waves -- Congresses.,
- Elastic waves -- Congresses.

**Edition Notes**

Statement | Edited by G. I. Petrašenʹ and K. P. Latyšev. [Translated from the Russian by T. Garrett] |

Series | Proceedings of the Steklov Institute of Mathematics, no. 95 (1968), Trudy Matematicheskogo instituta imeni V.A. Steklova., no. 95. |

Contributions | Petrashenʹ, G. I. ed., Latyshev, K. P., ed. |

Classifications | |
---|---|

LC Classifications | QA1 .A413 no. 95 |

The Physical Object | |

Pagination | iv, 256 p. |

Number of Pages | 256 |

ID Numbers | |

Open Library | OL4555356M |

ISBN 10 | 0821818953 |

LC Control Number | 77025181 |

Semilinear stochastic wave equations arise as mathematical models to describe nonlinear vibration or wave propagation in a randomly excited continuous medium. To be speci?c, the equation may take the form () 2 ˙?t u(x, t) = c2?u? 2α?t u(x, t) + f (u) + σ(u)W (x, t) in a bounded domain D in Rd, subject to some homogeneous boundary? and initial conditions to be speci?ed › 百度文库 › 专业资料. In the present book four classes of problems are considered: the Dirichlet problem with a small parameter in higher derivatives for differential equations and systems - the averaging principle for stochastic processes and PDE's - homogenization in PDE's and in stochastic processes - wave front propagation for semilinear differential equations

This work is devoted to a comparison of different methods determining stop-bands in 1D and 2D periodic heterogeneous media. For a 1D case, the well-known dispersion equation is /Wave-Propagation-in-Periodic-Composites-Higher. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. including turbulence, wave-propagation, defects and cracks, fatigue and fracture. in the nineteenth century. In the s, researchers developed effective asymptotic

SIAM Journal on Applied Mathematics (SIAP) Paul A. Martin, Editor-in-Chief. The SIAM Journal on Applied Mathematics is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life numerical methods for forward & ‘adjoint’ simulations of wave propagation in acoustic, elastic, and poroelastic media over a broad range of spatial & nonparametric statistics and statistical methods for stochastic processes. Michael Aizenman. stochastic models, stochastic control problems, asymptotic methods, differential ://

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Petrašenʹ and K.P. Latyšev ; [translated from the Russian by T. Garrett] （Proceedings of the Steklov Institute of Mathematics, no. 95） American Mathematical Society, Stochastic Equations through the Eye of the Physicist III: Asymptotic and approximate methods for analyzing stochastic equations.

(''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent :// The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other :// V.I.

Klyatskin, in Dynamics of Stochastic Systems, However, only a few dynamic systems lend themselves to analysis yielding solutions in a general form. It proved to be more efficient to use an asymptotic method where the statistical characteristics of dynamic problem solutions are expanded in powers of a small parameter which is essentially a ratio of the random impact's correlation 1.

Introduction. Semilinear stochastic wave equations arise as mathe-matical models to describe nonlinear vibration or wave propagation in a randomly excited continuous medium. To be speciﬁc, the equation may take the form ∂2 () t u(x,t)=c2∆u−2α∂tu(x,t)+f(u)+σ(u)W˙ (x,t) in a bounded domain D in Rd, subject to some homogeneous This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods In the present book four classes of problems are considered: the Dirichlet problem with a small parameter in higher derivatives for differential equations and systems - the averaging principle for stochastic processes and PDE's - homogenization in PDE's and in stochastic processes - wave front propagation for semilinear differential equations › Birkhäuser › Applied Mathematics.

Some numerical and analytical methods for equations of wave propagation and kinetic theory Eva Mossberg. Some numerical and analytical methods for equations of wave propaga-tion and kinetic theory DISSERTATION Karlstad University Studies ISSN ISBN stochastic methods for nonlinear Landau-Fokker-Planck Effective Equations for Sound and Void Wave Propagation in Bubbly Fluids Singular Perturbation Methods in Stochastic Differential Equations of Mathematical Physics.

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In linear cases related to wave propagation problems in solids of periodic structure, dispersion equations are obtained and ://~ayzenbe/ Research interests: My research lies broadly in the areas of stochastic processes, statistical learning, applied mathematics and probability, large deviations, multiscale methods, financial mathematics, asymptotic problems for stochastic processes and partial differential equations, statistical inference for stochastic differential Asymptotic Solutions of Semilinear Stochastic Wave Equations Pao-Liu Chow Wayne State University, [email protected] This Technical Report is brought to you for free and open access by the Mathematics at [email protected]

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The present approach will involve dimensional analysis, asymptotic expansions and vertical