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

doi:10.1016/j.jde.2009.06.013

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

Yuya Ishihara, Yoshiyuki Kagei

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Large time behavior of solutions to the linearized compressible Navier-Stokes equation around the motionless state in a cylindrical domain is investigated. The L^p 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 language	English
Pages (from-to)	252-286
Number of pages	35
Journal	Journal of Differential Equations
Volume	248
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2009.06.013
Publication status	Published - Jan 15 2010

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "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.",

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