黎曼流形上的二阶多值随机微分方程

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-11-08 DOI:10.1098/rspa.2004.1312

F. Bernardin, M. Schatzman, C. Lamarque

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引用次数: 7

摘要

证明了黎曼流形上二阶多值随机微分方程解的存在唯一性。这类问题是由刚体和多体摩擦动力学驱动的，并给出了一个在有摩擦的球摆上的应用。

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Second–order multivalued stochastic differential equations on Riemannian manifolds

The existence and uniqueness of solutions to multivalued stochastic differential equations of the second order on Riemannian manifolds are proved. The class of problem is motivated by rigid body and multibody dynamics with friction and an application to the spherical pendulum with friction is presented.

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来源期刊

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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期刊介绍： Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.