Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition

• Shibata Yoshihiro

  Department of Mathematical Sciences, School of Science and Engineering, Waseda University

• Shimizu Senjo

  Faculty of Engineering, Shizuoka University

Abstract

In this paper, we obtain local energy decay estimates and L_p-L_q estimates of the solutions to the Stokes equations with Neumann boundary condition which is obtained as a linearized equation of the free boundary problem for the Navier-Stokes equations. Comparing with the non-slip boundary condition case, we have a better decay estimate for the gradient of the semigroup because of the null force at the boundary.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 59 (1), 1-34, 2007

  The Mathematical Society of Japan

Keywords

• <i>L</i>_<i>p</i>-<i>L</i>_<i>q</i> estimates
• local energy decay
• Stokes semigroup
• Neumann boundary condition

Details

• CRID: 1390001205116324096
• NII Article ID: 10019540463
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1180135499
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2302661
• NDL BIB ID: 8612713
• Web Site: http://hdl.handle.net/10297/4355
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8612713
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed