DECAY PROPERTIES OF SOLUTIONS TO THE LINEARIZED COMPRESSIBLE NAVIER–STOKES EQUATION AROUND TIME-PERIODIC PARALLEL FLOW
2012 ◽
Vol 22
(07)
◽
pp. 1250007
◽
Keyword(s):
Decay estimates on solutions to the linearized compressible Navier–Stokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.
2013 ◽
Vol 255
(6)
◽
pp. 1132-1195
◽
Keyword(s):
2013 ◽
Vol 45
(6)
◽
pp. 3514-3574
◽
2015 ◽
Vol 69
(2)
◽
pp. 293-343
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 205
(2)
◽
pp. 585-650
◽
2016 ◽
Vol 261
(6)
◽
pp. 3366-3413
◽
2015 ◽
Vol 219
(2)
◽
pp. 637-678
◽
1995 ◽
Vol 81
(1)
◽
pp. 135-157
◽
Keyword(s):
2015 ◽
Vol 258
(2)
◽
pp. 399-444
◽