Large deviation principle for the prototype model of the wind-driven ocean circulation
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摘要：
近年来,随机准地转方程受到了许多学者的关注.一方面在于此方程与著名的随机Navier-Stokes方程有许多相似之处,另一方面在于准地转方程是地球物理动力学的重要模型.主要讨论带乘性噪声的随机准地转方程.首先,严格证明了在d=2,3维上,强解的存在性和温和解的唯一性;其次,基于拉普拉斯原理和弱收敛方法,证明了方程满足大偏差原理.
Recently,the Stochastic Quasi-Geostrophic equation has attracted many scholars'attentions and it has been intensively studied.One reason is due to that it is similar with another more well-known model-Stochastic Navier-Stokes equation,the other is that Quasi-Geostrophic equation is important in the Geostrophic Fluid Dynamics.In this research,we discuss the prototype model of the wind-driven ocean circulation with multiplicative noise.First,we verify the existence of strong solutions and the uniqueness of mild solutions in the dimension two and three.And then we prove a large deviation principle,based on the Laplace principle and the weak convergence methods.
作者：
蒲学科 陆宇婷
Pu Xueke;Lu Yuting(School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)
机构地区：
重庆大学数学与统计学院 广州大学数学与信息科学学院
出处：
《betway官方app 学报：自然科学版》 CAS 北大核心 2019年第6期1-7,F0002,共8页
基金：
国家自然科学基金(11871172)
关键词：
大偏差 随机准地转方程 高斯白噪声
large deviations stochastic quasi-geostrophic equation Gaussian white noise
分类号：
O175 [理学—基础数学]
