[1] Beale, J. T., Kato, T., Majda, A.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys. 94 (1984), 61-66. MR 0763762 | Zbl 0573.76029

[2] H. Beirão da Veiga: A new regularity class for the Navier-Stokes equations in $\Bbb R^n$. Chin. Ann. Math., Ser. B 16 (1995), 407-412. MR 1380578

[3] Dongho Chae, Hi-Jun Choe: Regularity of solutions to the Navier-Stokes equation. Electron. J. Differ. Equ. No. 05 (1999). MR 1673067

[4] Constantin, P., Fefferman, C.: Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Indiana Univ. Math. J. 42 (1993), 775-789. MR 1254117 | Zbl 0837.35113

[5] Fabes, E. B., Jones, B. F., Rivière, N. M.: The initial value problem for the Navier-Stokes equations with data in $L^p$. Arch. Ration. Mech. Anal. 45 (1972), 222-240. MR 0316915

[6] He, C.: Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Electron. J. Differ. Equ. No. 29 (2002). MR 1907705 | Zbl 0993.35072

[7] Hopf, E.: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4 (1951), 213-231 German. MR 0050423

[8] Iskauriaza, L., Serëgin, G. A., Shverak, V.: $L_{3,\infty}$-solutions of Navier-Stokes equations and backward uniqueness. Usp. Mat. Nauk 58 (2003), 3-44 Russian. MR 1992563

[9] Kozono, H., Taniuchi, Y.: Bilinear estimates in ${BMO}$ and the Navier-Stokes equations. Math. Z. 235 (2000), 173-194. MR 1785078 | Zbl 0970.35099

[10] Leray, J.: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta. Math. 63 (1934), 193-248 French. MR 1555394

[11] Penel, P., Pokorný, M.: Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Appl. Math. 49 (2004), 483-493. MR 2086090 | Zbl 1099.35101

[12] Serrin, J.: The initial value problem for the Navier-Stokes equations. Nonlinear Probl., Proc. Sympos. Madison 1962 R. Langer Univ. Wisconsin Press Madison (1963), 69-98. MR 0150444 | Zbl 0115.08502

[13] Struwe, M.: On partial regularity results for the Navier-Stokes equations. Commun. Pure Appl. Math. 41 (1988), 437-458. MR 0933230 | Zbl 0632.76034

[14] Zhou, Y.: A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component. Methods Appl. Anal. 9 (2002), 563-578. MR 2006605 | Zbl 1166.35359