On a nonlinear stochastic fractional differential equation of fluid dynamics

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2024-10-10 DOI:10.1016/j.physd.2024.134400

Marc Jornet , Juan J. Nieto

引用次数: 0

Abstract

We deal with a nonlinear stochastic fractional differential equation, in the Caputo and Itô senses, that generalizes important models of fluid dynamics, such as the Bagley–Torvik and the Basset equations. We investigate the integral formulation, existence, uniqueness, moment bounds, and continuity with respect to input data. Some conjectures are raised.

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论流体力学的非线性随机分数微分方程

我们研究的是 Caputo 和 Itô 意义上的非线性随机分数微分方程，它概括了重要的流体动力学模型，如 Bagley-Torvik 和 Basset 方程。我们研究了积分公式、存在性、唯一性、矩界以及与输入数据相关的连续性。我们还提出了一些猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.