Large time behavior of the semigroup on Lp spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain

Yuya Ishihara, Yoshiyuki Kagei

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6 Citations (Scopus)


Large time behavior of solutions to the linearized compressible Navier-Stokes equation around the motionless state in a cylindrical domain is investigated. The Lp decay estimates of the associated semigroup are established for all 1 < p < ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by a one-dimensional heat semigroup.

Original languageEnglish
Pages (from-to)252-286
Number of pages35
JournalJournal of Differential Equations
Issue number2
Publication statusPublished - Jan 15 2010


All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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