-
1
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
1
-
J.T. Beale T. Kato A. Majda 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations Commun. Math. Phys. 94 1 61 66
-
(1984)
Commun. Math. Phys.
, vol.94
, pp. 61-66
-
-
Beale, J.T.1
Kato, T.2
Majda, A.3
-
2
-
-
84990576577
-
Partial regularity of suitable weak solutions of the Navier-Stokes equations
-
L. Caffarelli R. Kohn L. Nirenberg 1982 Partial regularity of suitable weak solutions of the Navier-Stokes equations Comm. Pure Appl. Math. 35 771 831
-
(1982)
Comm. Pure Appl. Math.
, vol.35
, pp. 771-831
-
-
Caffarelli, L.1
Kohn, R.2
Nirenberg, L.3
-
3
-
-
36348955539
-
Global well-posedness of the three-dimensional primitive equations of large scale ocean and atmosphere dynamics
-
1
-
C. Cao E.S. Titi 2007 Global well-posedness of the three-dimensional primitive equations of large scale ocean and atmosphere dynamics Ann. Math. 166 1 245 267
-
(2007)
Ann. Math.
, vol.166
, pp. 245-267
-
-
Cao, C.1
Titi, E.S.2
-
4
-
-
49949115307
-
Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations
-
published on March 14, 2008, doi: 10.1093/imrn/rnn016
-
Chen, C., Strain, R.M., Tsai, T., Yau, H.T.: Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Int. Math. Res. Not. 2008 (2008), published on March 14, 2008, doi: 10.1093/imrn/rnn016
-
(2008)
Int. Math. Res. Not. 2008
-
-
Chen, C.1
Strain, R.M.2
Tsai, T.3
Yau, H.T.4
-
5
-
-
61649095242
-
-
Chen, C., Strain, R.M., Tsai, T., Yau, H.T.: Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations II. http://arXiv.org/abs/070/ 796v1 [Math.AP], 2007
-
(2007)
Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations II
-
-
Chen, C.1
Strain, R.M.2
Tsai, T.3
Yau, H.T.4
-
6
-
-
17444395218
-
Geometric properties and non-blowup of 3-D incompressible Euler flow
-
J. Deng T.Y. Hou X. Yu 2005 Geometric properties and non-blowup of 3-D incompressible Euler flow Commun. PDEs 30 225 243
-
(2005)
Commun. PDEs
, vol.30
, pp. 225-243
-
-
Deng, J.1
Hou, T.Y.2
Yu, X.3
-
7
-
-
31744438053
-
Improved geometric conditions for non-blowup of 3D incompressible Euler equation
-
J. Deng T.Y. Hou X. Yu 2006 Improved geometric conditions for non-blowup of 3D incompressible Euler equation Commun. PDEs 31 293 306
-
(2006)
Commun. PDEs
, vol.31
, pp. 293-306
-
-
Deng, J.1
Hou, T.Y.2
Yu, X.3
-
9
-
-
0042154193
-
-
translation in
-
translation in Russ. Math. Surveys 58(2) 211-250 (2003)
-
(2003)
Russ. Math. Surveys
, vol.58
, Issue.2
, pp. 211-250
-
-
-
10
-
-
61649113559
-
-
Fefferman, C.: http://www.claymath.org/millennium/Navier-Stokes-Equations
-
-
-
Fefferman, C.1
-
11
-
-
49949100775
-
Dynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl
-
5
-
T.Y. Hou C. Li 2008 Dynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl CPAM 61 5 661 697
-
(2008)
CPAM
, vol.61
, pp. 661-697
-
-
Hou, T.Y.1
Li, C.2
-
12
-
-
68049124905
-
-
doi: 10.1002/cpa.20254, CPAM, published online on June 10
-
Hou, T.Y., Lei, Z.: On the stabilizing effect of convection in 3D incompressible flows. CPAM, published online on June 10, 2008, doi: 10.1002/cpa.20254
-
(2008)
On the Stabilizing Effect of Convection in 3D Incompressible Flows
-
-
Hou, T.Y.1
Lei, Z.2
-
13
-
-
49949114046
-
Global regularity of the 3D Axi-symmetric Navier-Stokes equations with anisotropic data
-
9
-
T.Y. Hou Z. Lei C. Li 2008 Global regularity of the 3D Axi-symmetric Navier-Stokes equations with anisotropic data Commun. PDEs 33 9 1622 1637
-
(2008)
Commun. PDEs
, vol.33
, pp. 1622-1637
-
-
Hou, T.Y.1
Lei, Z.2
Li, C.3
-
14
-
-
84944818416
-
Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen
-
E. Hopf 1951 Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen Math. Nachr. 4 213 231
-
(1951)
Math. Nachr.
, vol.4
, pp. 213-231
-
-
Hopf, E.1
-
15
-
-
9744237209
-
Regularity of axially symmetric flows in a half-space in three dimensions
-
6
-
K. Kang 2004 Regularity of axially symmetric flows in a half-space in three dimensions SIAM J. Math. Anal. 35 6 1636 1643
-
(2004)
SIAM J. Math. Anal.
, vol.35
, pp. 1636-1643
-
-
Kang, K.1
-
16
-
-
69149094889
-
-
Koch, G., Nadirashvili, N., Seregin, G., Sverak, V.: Liouville theorems for the Navier-Stokes equations and applications. http://arXiv.org/abs/0709. 3599.vl [math.AP], 2007
-
(2007)
Liouville Theorems for the Navier-Stokes Equations and Applications
-
-
Koch, G.1
Nadirashvili, N.2
Seregin, G.3
Sverak, V.4
-
17
-
-
0034389838
-
Bilinear estimates in BMO and the Navier-Stokes equations
-
1
-
H. Kozono Y. Taniuchi 2000 Bilinear estimates in BMO and the Navier-Stokes equations Math. Z. 235 1 173 194
-
(2000)
Math. Z.
, vol.235
, pp. 173-194
-
-
Kozono, H.1
Taniuchi, Y.2
-
20
-
-
0042597992
-
Unique global solvability of the three-dimensional Cauchy problem for the Navier-Stokes equations in the presence of axial symmetry
-
O.A. Ladyzhenskaya 1968 Unique global solvability of the three-dimensional Cauchy problem for the Navier-Stokes equations in the presence of axial symmetry (Russian) Zap. Nauv cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 7 155 177
-
(1968)
(Russian) Zap. Nauv Cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
, vol.7
, pp. 155-177
-
-
Ladyzhenskaya, O.A.1
-
21
-
-
0013198034
-
On partial regularity of suitable weak solutions to the three- dimensional Navier-Stokes equations
-
4
-
O.A. Ladyzhenskaya G.A. Seregin 1999 On partial regularity of suitable weak solutions to the three- dimensional Navier-Stokes equations (English summary) J Math. Fluid Mech. 1 4 356 387
-
(1999)
(English Summary) J Math. Fluid Mech.
, vol.1
, pp. 356-387
-
-
Ladyzhenskaya, O.A.1
Seregin, G.A.2
-
23
-
-
51249193194
-
Sur le mouvement d'un liquide visqueux emplissant l'espace
-
J. Leray 1934 Sur le mouvement d'un liquide visqueux emplissant l'espace Acta. Math. 63 193 248
-
(1934)
Acta. Math.
, vol.63
, pp. 193-248
-
-
Leray, J.1
-
24
-
-
0032344639
-
A new proof of the Caffarelli-Kohn-Nirenberg theorem
-
3
-
F.-h. Lin 1998 A new proof of the Caffarelli-Kohn-Nirenberg theorem Comm. Pure Appl. Math. 51 3 241 257
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 241-257
-
-
Lin, F.-H.1
-
25
-
-
37849052235
-
Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows
-
6
-
J.G. Liu W.C. Wang 2006 Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows SINUM 44 6 2456 2480
-
(2006)
SINUM
, vol.44
, pp. 2456-2480
-
-
Liu, J.G.1
Wang, W.C.2
-
27
-
-
27144458223
-
On the role of the convection term in the equations of motion of incompressible fluid
-
10
-
H. Okamoto K. Ohkitani 2005 On the role of the convection term in the equations of motion of incompressible fluid J. Phys. Soc. Japan 74 10 2737 2742
-
(2005)
J. Phys. Soc. Japan
, vol.74
, pp. 2737-2742
-
-
Okamoto, H.1
Ohkitani, K.2
-
28
-
-
0001307388
-
Un teorema di unicità per le equazioni di Navier-Stokes
-
4
-
G. Prodi 1959 Un teorema di unicità per le equazioni di Navier-Stokes Ann. Mat. Pura Appl. 48 4 173 182
-
(1959)
Ann. Mat. Pura Appl.
, vol.48
, pp. 173-182
-
-
Prodi, G.1
-
29
-
-
84972517978
-
Partial regularity of solutions to the Navier-Stokes equations
-
2
-
V. Scheffer 1976 Partial regularity of solutions to the Navier-Stokes equations Pac. J. Math. 66 2 535 552
-
(1976)
Pac. J. Math.
, vol.66
, pp. 535-552
-
-
Scheffer, V.1
-
30
-
-
0002117826
-
Hausdorff measure and the Navier-Stokes equations
-
2
-
V. Scheffer 1977 Hausdorff measure and the Navier-Stokes equations Commun. Math. Phys. 55 2 97 112
-
(1977)
Commun. Math. Phys.
, vol.55
, pp. 97-112
-
-
Scheffer, V.1
-
31
-
-
0001881423
-
The Navier-Stokes equations on a bounded domain
-
1
-
V. Scheffer 1980 The Navier-Stokes equations on a bounded domain Commun. Math. Phys. 73 1 1 42
-
(1980)
Commun. Math. Phys.
, vol.73
, pp. 1-42
-
-
Scheffer, V.1
-
32
-
-
0043106636
-
Boundary regularity for the Navier-Stokes equations
-
2
-
V. Scheffer 1982 Boundary regularity for the Navier-Stokes equations Commun. Math. Phys. 85 2 275 299
-
(1982)
Commun. Math. Phys.
, vol.85
, pp. 275-299
-
-
Scheffer, V.1
-
33
-
-
0000169262
-
On the interior regularity of weak solutions of the Navier-Stokes equations
-
J. Serrin 1962 On the interior regularity of weak solutions of the Navier-Stokes equations Arch. Rat. Mech. Anal. 9 187 195
-
(1962)
Arch. Rat. Mech. Anal.
, vol.9
, pp. 187-195
-
-
Serrin, J.1
-
34
-
-
0001807443
-
The initial value problem for the Navier-Stokes equations
-
Madison WI: Univ. of Wisconsin Press
-
Serrin, J.: The initial value problem for the Navier-Stokes equations. In: Nonlinear Problems. Madison WI: Univ. of Wisconsin Press, pp. 69-98, 1963
-
(1963)
Nonlinear Problems
, pp. 69-98
-
-
Serrin, J.1
-
35
-
-
84990553438
-
On partial regularity results for the Navier-Stokes equations
-
4
-
M. Struwe 1988 On partial regularity results for the Navier-Stokes equations Comm. Pure Appl. Math. 41 4 437 458
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 437-458
-
-
Struwe, M.1
-
37
-
-
0042096896
-
Axially symmetric flows of ideal and viscous fluids filling the whole space
-
(Russian)
-
Ukhovskii, M.R., Iudovich, V.I.: Axially symmetric flows of ideal and viscous fluids filling the whole space. Prikl. Mat. Meh. 32, 59-69 (1968) (Russian)
-
(1968)
Prikl. Mat. Meh.
, vol.32
, pp. 59-69
-
-
Ukhovskii, R.M.1
Iudovich, I.V.2
-
38
-
-
0042598003
-
-
translated as
-
translated as J. Appl. Math. Mech. 32, 52-61 (1968)
-
(1968)
J. Appl. Math. Mech.
, vol.32
, pp. 52-61
-
-
-
39
-
-
21844513548
-
n
-
(English summary) A Chinese summary appears in
-
n. (English summary) A Chinese summary appears in Chinese Ann. Math. Ser. A 16(6), (1995). 797
-
(1995)
Chinese Ann. Math. Ser. A
, vol.16
, Issue.6
, pp. 797
-
-
Beirãoda Veiga, H.1
-
40
-
-
21844513548
-
-
Chinese Ann. Math. Ser. B 16(4), 407-412 (1995)
-
(1995)
Chinese Ann. Math. Ser. B
, vol.16
, Issue.4
, pp. 407-412
-
-
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