外域和半空间中具有滑移条件的Stokes方程的混合公式

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2018-07-01 DOI:10.32917/HMJ/1533088823

N. Kerdid

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引用次数: 3

摘要

当滑移条件施加在边界上时，我们关注R的半空间或外域中的Stokes方程。我们提出了一个混合速度压力公式，并证明了它的适定性。无界域中Korn不等式的加权变体是我们方法的基石。

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A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space

We are concerned with Stokes equations in the half-space or in an exterior domain of R when slip conditions are imposed on the boundary. We present a mixed velocity-pressure formulation and we show its well posedness. A weighted variant of Korn’s inequality in unbounded domains is the cornerstone of our approach.

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.