Analyticity of the Stokes semigroup in BMO-type spaces

Martin Bolkart; Yoshikazu GiGA; Takuya Suzuki

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Analyticity of the Stokes semigroup in BMO-type spaces

机译：BMO型空间中Stokes半群的解析性

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摘要

We consider the Stokes semigroup in a large class of domains including bounded domains, the half-space and exterior domains. We will prove that the Stokes semigroup is analytic in a certain type of solenoidal subspaces of BMO.

机译：我们在包括边界域，半空间域和外部域的一大类域中考虑斯托克斯半群。我们将证明Stokes半群在BMO的某种螺线管子空间中是解析的。

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来源
《Journal of the Mathematical Society of Japan》 |2018年第1期|153-177|共25页
作者
Martin Bolkart; Yoshikazu GiGA; Takuya Suzuki;
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作者单位

Wuerttembergische Versicherung AG WV/AKA, Gutenbergstrasse 30 70176 Stuttgart, Germany;

Graduate School of Mathematical Sciences University of Tokyo 3-8-1 Komaba, Meguro-ku Tokyo 153-8914, Japan;

Technology Development Department Advanced Simulation Technology of Mechanics R&D, Co., Ltd. 2-3-13, Minami, Wako-shi Saitama 351-0104, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Stokes equations; BMO; analytic semigroup;

机译：斯托克斯方程;BMO;解析半群;

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1. Local-in-Time Solvability and Space Analyticity for the Navier-Stokes Equations with BMO-Type Initial Data [J] . Archive for Rational Mechanics and Analysis . 2020,第1期

机译：具有BMO型初始数据的Navier-Stokes方程的局部可解放性和空间分析
2. Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups [J] . Bolkart Martin, Giga Yoshikazu, Suzuki Takuya, Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis . 2018,第1期

机译：BMO型规范的对等性与热量和Stokes半群
3. On the inviscid limit of the 2D Navier-Stokes equations with vorticity belonging to BMO-type spaces [J] . Bernicot Frederic, Elgindi Tarek, Keraani Sahbi Annales de l'Institut Henri Poincare. Analye non lineaire . 2016,第2期

机译：属于BMO型空间的带涡度的二维Navier-Stokes方程的无粘性极限
4. Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on L~p-spaces [C] . Hind Al Baba, Chérif Amrouche, Miguel Escobedo International Conference on Recent Advances in PDEs and Applications . 2016

机译：STOKES运算符生成的半组的分析与L〜P空间上的Navier型边界条件
5. Regularity Aspects of the Navier-Stokes Equations in Critical Spaces [D] . Albritton, Dallas. 2020

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7. ANALYTICITY OF THE STOKES SEMIGROUP IN BMO-TYPE SPACES [O] . BOLKART MARTIN, GIGA YOSHIKAZU, Suzuki Takuya 2015

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8. The Existence, Uniqueness, Differentiability, and Analyticity of the Solutions of Non-Linear Differential Equations in Banach Spaces with Applications to Navier Stokes Equations [R] . Khatchatooriantz, L. A. 1968

机译：Banach空间中非线性微分方程解的存在唯一性，可微性和解析性及其在Navier stokes方程中的应用

Analyticity of the Stokes semigroup in BMO-type spaces

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