[1]
|
K. A. Ames, L. E. Payne and P. W. Schaefer, Spatial decay estimates in time-dependent Stokes flow, SIAM J. Math. Anal., 24 (1993), 1395-1413.
|
[2]
|
K. A. Ames and J. C. Song, Decay bounds for magnetohydrodynamic geophysical flow, Nonlinear Analysis, 65 (2006), 1318-1333.
|
[3]
|
S. Chiriţă and M. Ciarletta, Spatial behaviour of solutions in the plane Stokes flow, J. Math. Anal. Appl., 277 (2003), 571-588.
|
[4]
|
C. O. Horgan, Plane steady flows and energy estimates for the Navier-Stokes equations, Arch. Rat. Mech. Anal., 68 (1978), 359-381.
|
[5]
|
C. O. Horgan, Recent developments concerning Saint-Venant's principle: An update, Appl. Mech. Rev., 42 (1989), 295-303.
|
[6]
|
C. O. Horgan, Recent developments concerning Saint-Venant's principle: A second update, Appl. Mech. Rev., 49 (1996), 101-111.
|
[7]
|
C. O. Horgan and J. K. Knowles, Recent developments concerning Saint-Venant's principle, in "Advances in Applied Mechanics'' (J. W. Hutchinson ed.), Academic Press, New York, 1983, Vol. 23, pp. 179-269.
|
[8]
|
C. O. Horgan and L. T. Wheeler, Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow, SIAM J. Appl. Math., 35 (1978), 97-116.
|
[9]
|
Y. Li, Y. Liu, S. Luo and C. Lin, Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe, Z. Angew. Math. Mech., 92 (2012), 160-176.
|
[10]
|
C. Lin, Spatial decay estimates and energy bounds for the Stokes flow equations, Stability Appl. Anal. Contin. Media, 2 (1992), 249-264.
|
[11]
|
C. Lin and L. E. Payne, Spatial decay bounds in the channel flow of an incompressible viscous fluid, Math. Models Methods Appl. Sci., 14 (2004), 795-818.
|
[12]
|
R. Quintanilla, Spatial decay estimate for the hyperbolic heat equation, SIAM J. Math. Anal., 27 (1996), 78-91.
|
[13]
|
J. C. Song, Decay estimates for steady magnetohydrodynamic pipe flow, Nonlinear Analysis, 54 (2003), 1029-1044.
|
[14]
|
J. C. Song, Improved decay estimates in time-dependent Stokes flow, J. Math. Anal. Appl., 288 (2003), 505-517.
|
[15]
|
J. C. Song, Improved spatial decay bounds in the plane Stokes flow, Appl. Math. Mech., 30 (2009), 833-838.
|
[16]
|
J. C. Song, Spatial decay estimates in time-dependent double-diffusive flow, J. Math. Anal. Appl., 267 (2001), 76-88.
|
[17]
|
B. Straughan, "Stability and Wave Motion in Porous Media," Springer-Verlag, New York, 2008.
|
[18]
|
P. Vafeades and C. O. Horgan, Exponential decay estimates for solutions of the van Kármán equations on a semi-infinite strip, Arch. Rat. Mech. Anal., 104 (1988), 1-25.
|
[19]
|
A. Yoshizawa, "Hydrodynamic and Magnetohydrodynamic Turbulent Flows," Kluwer Academic Publishers, Dordrecht, 1998.
|
[20]
|
C. Zhao, Initial boundary value problem for the evolution system of MHD type describing geophysical flow in three dimensional domains, Math. Meth. Appl. Sci., 26 (2003), 759-781.
|