Tamed 3D navierstokes equation: Existence, uniqueness and regularity

Michael Röckner; Xicheng Zhang

doi:10.1142/S0219025709003859

Tamed 3D navierstokes equation: Existence, uniqueness and regularity

Michael Röckner^*
, Xicheng Zhang

^*此作品的通讯作者

Bielefeld University
Purdue University
Huazhong University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

40 引用（Scopus）

摘要

In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D NavierStokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, using this tamed equation we can give a new construction for a suitable weak solution of the classical 3D NavierStokes equation introduced in Refs. 16 and 2.

源语言	英语
页（从-至）	525-549
页数	25
期刊	Infinite Dimensional Analysis, Quantum Probability and Related Topics
卷	12
期	4
DOI	https://doi.org/10.1142/S0219025709003859
出版状态	已出版 - 12月 2009
已对外发布	是

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AB - In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D NavierStokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, using this tamed equation we can give a new construction for a suitable weak solution of the classical 3D NavierStokes equation introduced in Refs. 16 and 2.

KW - Classical solution

KW - Navier-Stokes equation

KW - Suitable weak solution

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Tamed 3D navierstokes equation: Existence, uniqueness and regularity

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