Nonstationary shock models

New classes of Extereme Shock Models

 In industry or nature, ‎there are systems subjected to a secuence of shocks ocurring randomly in time‎. ‎these shocks are causing aging or failure of system‎. ‎According to the type of shocks‎, ‎shock models divided in two major groups‎, ‎Extreme Shock Models and Cumulative Shock Models‎. ‎In the extreme shock models just impact of last shock named fatal shock would be studied and in the cumul...

Nonstationary models for shallow lakes

In this paper we study the behaviour of solutions of Navier{Stokes equations with adherence to the bottom and traction by wind at the surface when the aspect ratio = depth=lenght of the domain tends to 0. Precisely we prove that when wind is moderate, a variational solution converges to the solution of a vertical diiusion model. This model is either quasistationary or nonstationary, according t...

A new lass of nonstationary spatial models

Nonstationary Covariance Models for Global Data

With the widespread availability of satellite-based instruments, many geophysical processes are measured on a global scale and they often show strong nonstationarity in the covariance structure. In this paper we present a flexible class of parametric covariance models that can capture the nonstationarity in global data, especially strong dependency of covariance structure on latitudes. We apply...

Nonstationary Response of Large FE - Models

An algorithm for the computation of the stochastic non-stationary non-linear response of large FE-models is presented. In stochastic analysis, the response is described by the mean and covariance function and possibly by the probability distribution of the non-linear response. To estimate the covariance matrix, the method of Equivalent Statistical Linearization (EQL) is applied for linearizing ...