On the Stokes resolvent estimates for cylindrical domains

DOI IR (HANDLE) Open Access

Description

This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C0; , the L 1 -closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (2014). However, it is shown that these domains are still admissible which yields the analyticity in C0; . A new proof based on a blow-up argument is given to derive an L 1 -type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup in C0; is =2.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390290699772197760
  • NII Article ID
    120006459770
  • DOI
    10.14943/84225
  • HANDLE
    2115/69885
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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