[1] Bae H O, Choe H J. Decay rate for the incompressible flows in half spaces. Math Z, 2001, 238: 799--816
[2] Borchers W, Miyakawa T. L2 decay rate for the Navier-Stokes flow in half spaces. Math Ann, 1988, 282 : 139--155
[3] Bresch D, Desjardins B. Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm Math Phys, 2003, 238(1/2): 211--223
[4] Bresch D, Desjardins B, Lin C K. On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Comm Partial Differential Equations, 2003, 28(3/4): 843--868
[5] Cai X J, Jiu Q S. Weak and strong solutions for the incompressible Navier-Stokes equations with damping term. J Math Anal Appl, 2008, 343: 799--809
[6] Caffarelli L , Kohn R, Nirenberg L. Partial regularity of suitably weak solutions of the Navier-Stokes equations. Comm on Pure and Applied Math, 1982, 25: 771--831
[7] He C. The Cauchy problem for the Navier-Stokes equations. J Math Anal App, 1997, 209: 228--242
[8] He C, Miyakawa T. On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. J Differential equations, 2009, 246(6): 2355--2386
[9] He C, Wang L Z. Weighted Lp-estimates for Stokes flow in R+n (n ≥2), with applications to the Non-stationary Navier-Stokes flow. Preprint
[10] Heywood J G. The Navier-Stokes equations: On the existence, regularity and decay of solutions. Indiana University Math J, 1980, 29: 641--681
[11] Kajikiya R, Miyakawa T. On L2 decay of weak solutions of the Navier-Stokes equations in Rn. Math Z, 1986, 192: 136--148
[12] Kato T. Strong Lp -solutions of the Navier-Stokes equations in Rn, with application to weak solutions. Math Z, 1984, 187: 471--480
[13] Leray J. Sur le mouvement d' un liquide visqueux emplissant l'espace. Acta Math, 1934, 63: 193--248
[14] Maremonti P. On the asymptotic behavior of the L2 -norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains. Math Phys, 1988, 118: 405--420
[15] Masuda K. L2 decay of solutions of the Navier-Stokes equations in the exterior domains//Proceedings of Symposia in Pure Mathematics, 1986, 45, Part 2: 179--182. American Mathematical Society, 1986
[16] Schonbek M E. L2 decay for weak solutions of the Navier-Stokes equations. Arch Rational Mech Anal, 1985, 88: 209--222
[17] Schonbek M E. Large time behavior of solutions to the Navier-Stokes equations. Comm Partial Differential equations, 1986, 11: 733--763
[18] Schonbek M E. Lower bounds of rates of decay for solutions to the Navier-Stokes equations. J Amer Math Soc, 1991, 4: 423--449
[19] Schonbek M E. Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Indiana Univ Math J, 1992, 41(3): 809--823
[20] Ukai S. A solution formular for the Navier-Stokes equations in Rn. Comm Pure Appl Math, 1987, 40: 611--621
[21] Weigner M. Decay results for weak solutions of the Navier-Stokes equations in Rn. J London Math Soc, 1987, 35: 303--313 |