Rare events in the Boussinesq system with fluctuating dynamical boundary conditions

Rare events in the Boussinesq system with fluctuating dynamical boundary conditions
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具有波动动力学边界条件的 Boussinesq 系统中的罕见事件

DOI:
10.1016/j.jde.2009.10.003
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发表时间:
2010-03
影响因子:
2.4
通讯作者:
Schmalfuss, Bjoern
Schmalfuss, Bjoern
中科院分区:
数学2区
文献类型:
--
作者:
孙成峰;高洪俊;段金桥;Schmalfuss, Bjoern

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The Boussinesq system models various phenomena in geophysical and climate dynamics. It is a coupled system of the Navier–Stokes equations and the salinity transport equation. Due to uncertainty in salinity flux on fluid boundary, this system is subject to random fluctuations on the boundary. This stochastic Boussinesq system can be transformed into a random dynamical system. Rare events, or small probability events, are investigated in the context of large deviations. A large deviations principle is established via a weak convergence approach based on a recently developed variational representation of functionals of infinite dimensional Brownian motion.
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