纯跳跃噪声扰动下随机临界Oldroyd-B型模型的弱鞅解

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2021-08-24 DOI:10.1080/07362994.2021.1947855

U. Manna, D. Mukherjee

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引用次数: 0

摘要

研究了纯跳变lsamvy噪声驱动的二维临界粘弹性流的弱鞅解的存在性。由于粘弹性的特性，应力张量模型中的噪声以马库斯标准形式考虑。由于缺乏耗散和考虑到非线性项的结构，证明需要高阶估计。

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Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise

Abstract We investigate the existence of a weak martingale solution for a two-dimensional critical viscoelastic flow of the Oldroyd type driven by pure jump Lévy noise. Due to the viscoelastic nature, noise in the equation modeling stress tensor is considered in the Marcus canonical form. Owing to the lack of dissipation and taking into account of the structure of the non-linear terms, the proof requires higher order estimates.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.