Large Deviations for An Stochastic Integrable Equation Governing Shortwaves in A Long-wave Model

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：bloodsteven

【摘要】

：

　　This paper is concerned with an stochastic integrable equation governing short-waves in a long-wave model.Firstly,the local well-posedness for this system i

【作者】

：

ChenYong[1]GaoHongjun[2]

【机构】

：

Zhejiang Sci-Tech Univ.

【出处】

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第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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论文部分内容阅读

　　This paper is concerned with an stochastic integrable equation governing short-waves in a long-wave model.Firstly,the local well-posedness for this system is established by fixed point argument and(bilinear)trilinear estimates.Then the small noise large deviation principle is proved by the weak convergence approach.Some analogous results are also obtained for the small time asymptotics of the system.

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Large Deviations for An Stochastic Integrable Equation Governing Shortwaves in A Long-wave Model

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