Regularity criterion of axisymmetric weak solutions to the 3D Navier–Stokes equations
暂无分享,去创建一个
[1] B. Jones,et al. The initial value problem for the Navier-Stokes equations with data in Lp , 1972 .
[2] N. A. Shananin. Regularity of solutions to the Navier-Stokes equations , 1996 .
[3] J. Serrin. On the interior regularity of weak solutions of the Navier-Stokes equations , 1962 .
[4] Hi Jun Choe,et al. Regularity of Solutions to the Navier-Stokes Equation , 1999 .
[5] D. Chae. Remarks on the blow-up criterion of the three-dimensional Euler equations , 2005 .
[6] Tosio Kato,et al. Remarks on the breakdown of smooth solutions for the 3-D Euler equations , 1984 .
[7] A. Majda,et al. Vorticity and incompressible flow , 2001 .
[8] Milan Pokorný,et al. AXISYMMETRIC FLOW OF NAVIER-STOKES FLUID IN THE WHOLE SPACE WITH NON-ZERO ANGULAR VELOCITY COMPONENT , 2001 .
[9] J. Neustupa,et al. An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier—Stokes Equations , 2000 .
[10] Shuji Takahashi. On interior regularity criteria for weak solutions of the navier-stokes equations , 1990 .
[11] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[12] Hiroshi Fujita,et al. On the Navier-Stokes initial value problem. I , 1964 .
[13] L. Nikolova,et al. On ψ- interpolation spaces , 2009 .
[14] Milan Pokorný,et al. On Axially Symmetric Flows in $mathbb R^3$ , 1999 .
[15] H.BeirāodaVeiga. A New Regularity Class for the Navier-Stokes Equations in IR^n , 1995 .
[16] E. Hopf,et al. Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet , 1950 .
[17] Michael Struwe,et al. On partial regularity results for the navier‐stokes equations , 1988 .
[18] M. R. Ukhovskii,et al. Axially symmetric flows of ideal and viscous fluids filling the whole space , 1968 .
[19] Jean Leray,et al. Sur le mouvement d'un liquide visqueux emplissant l'espace , 1934 .
[20] H. Triebel. Theory Of Function Spaces , 1983 .
[21] H. Sohr,et al. Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes , 1983 .
[22] Hantaek Bae. Navier-Stokes equations , 1992 .
[23] Hideo Kozono,et al. Bilinear estimates in BMO and the Navier-Stokes equations , 2000 .
[24] Takayoshi Ogawa,et al. The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations , 2002 .
[25] J. Serrin. The initial value problem for the Navier-Stokes equations , 1963 .
[26] Yoshikazu Giga,et al. Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system , 1986 .
[27] Dongho Chae,et al. Generic Solvability of the Axisymmetric 3-D Euler Equations and the 2-D Boussinesq Equations , 1999 .
[28] Hideo Kozono,et al. Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations , 2004 .
[29] Zhang Zhifei,et al. Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in R 3 , 2005 .
[30] Timothy S. Murphy,et al. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals , 1993 .
[31] Dongho Chae,et al. Digital Object Identifier (DOI) 10.1007/s002090100317 , 2002 .