二维Navier-Stokes方程在有界区域的无粘极限

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-11-29 DOI:10.3934/krm.2022004

C. Bardos, Trinh T. Nguyen, Toan T. Nguyen, E. Titi

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引用次数: 8

摘要

在一般二维有界区域中，证明了仅在边界附近解析数据的不可压缩Navier-Stokes方程的无粘极限。我们的证明是直接的，使用了带非局部边界条件的涡量公式，平坦边界附近线性Stokes问题的显式半群，以及远离边界的Sobolev空间中Navier-Stokes方程的标准适定性理论。

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The inviscid limit for the 2D Navier-Stokes equations in bounded domains

We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general two-dimensional bounded domain. Our proof is direct, using the vorticity formulation with a nonlocal boundary condition, the explicit semigroup of the linear Stokes problem near the flatten boundary, and the standard wellposedness theory of Navier-Stokes equations in Sobolev spaces away from the boundary.

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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.