Large time behavior of the semigroup on ${L^p}$ spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain
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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 &{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.
- Academic Pressの論文
- 2010-01-15
Academic Press | 論文
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