Anisotropic L-2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body

作者：Kracmar Stanislav^*; Necasova Sarka; Penel Patrick

来源：Journal of the Mathematical Society of Japan, 2010, 62(1): 239-268.

DOI：10.2969/jmsj/06210239

• Oseen problem
• rotating body
• anisotropically weighted L-2 spaces

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 main tool 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.

• 出版日期2010-1