Stochastic dynamics of fluid–structure interaction in turbulent thermal convection
The motion of a free-moving plate atop turbulent thermal convection exhibits diverse
dynamics that displays characteristics of both deterministic and chaotic motions. Early …
dynamics that displays characteristics of both deterministic and chaotic motions. Early …
Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise
C Feau, M Laurière, L Mertz - Asymptotic Analysis, 2017 - journals.sagepub.com
The risk of failure of mechanical structures under random forcing is an important concern in
earthquake engineering. For a class of simple structures that can be modeled by an elasto …
earthquake engineering. For a class of simple structures that can be modeled by an elasto …
Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise
In the literature, failure risk analysis on most elasto-perfectly-plastic oscillators is essentially
focused on those excited by white noise, which is rather restrictive from the modeling …
focused on those excited by white noise, which is rather restrictive from the modeling …
Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities
M Lauriere, L Mertz - SIAM Journal on Applied Dynamical Systems, 2019 - SIAM
The purpose of this paper is to prove ergodicity and provide asymptotic formulae for
probabilities of threshold crossing related to smooth approximations of three fundamental …
probabilities of threshold crossing related to smooth approximations of three fundamental …