Departmental Bulletin Paper DECAY ESTIMATES ON SOLUTIONS OF THE LINEARIZED COMPRESSIBLE NAVIER-STOKES EQUATION AROUND A PARALLEL FLOW IN A CYLINDRICAL DOMAIN

Aoyama, Reika

69 ( 2 )  , pp.293 - 343 , 2015-10-13 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
This paper is concerned with the stability of a parallel flow of the compressible Navier-Stokes equation in a cylindrical domain. It is proved that the linearized semigroup around the parallel flow decays in the L^2-norm as a one-dimensional heat semigroup when the Reynolds and Mach numbers are sufficiently small. The proof is given by combining the energy method of Iooss-Padula and a variant of the Matsumura-Nishida energy method.

Number of accesses :  

Other information