Anisotropic L2 - Estimates of Weak Solutions to the Stationary Oseen - Type Equations in 3D - Exterior Domain for a Rotating Body

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F10%3A00168113" target="_blank" >RIV/68407700:21220/10:00168113 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/10:00342842

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Anisotropic L2 - Estimates of Weak Solutions to the Stationary Oseen - Type Equations in 3D - Exterior Domain for a Rotating Body

Original language description

We study the Oseen problem with rotational effect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces in the whole three-dimensional space. As the maintool we derive and apply an inequality of the Friedrichs-Poincare type and the theory of Calderon-Zygmund kernels in weighted spaces. For the extension of results to the case of exterior domains we use a localization procedure.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190804" target="_blank" >IAA100190804: The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of the Mathematical Society of Japan

ISSN

0025-5645

e-ISSN

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Volume of the periodical

62

Issue of the periodical within the volume

1

Country of publishing house

JP - JAPAN

Number of pages

30

Pages from-to

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UT code for WoS article

000274066400009

EID of the result in the Scopus database

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