-
1
-
-
34250220666
-
Inequality for Riesz transforms implying blow-up for some nonlinear and nonlocal transport equations
-
Balodis, P., Córdoba, A., Inequality for Riesz transforms implying blow-up for some nonlinear and nonlocal transport equations, Adv. Math. 214 (2007) no. 1, 1-39.
-
(2007)
Adv. Math.
, vol.214
, Issue.1
, pp. 1-39
-
-
Balodis, P.1
Córdoba, A.2
-
2
-
-
0004259252
-
-
Cambridge Univ. Press, Cambridge, UK, MR1867882 2003a:76002
-
Bertozzi, A. L., Majda, A. J., Vorticity and Incompressible Flow, Cambridge Univ. Press, Cambridge, UK (2002). MR1867882 (2003a:76002)
-
(2002)
Vorticity and Incompressible Flow
-
-
Bertozzi, A.L.1
Majda, A.J.2
-
3
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
MR763762 85j:35154
-
Beale, J. T., Kato, T., and Majda, A., Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys. 94 (1984), no. 1, 61-66. MR763762 (85j:35154)
-
(1984)
Comm. Math. Phys.
, vol.94
, Issue.1
, pp. 61-66
-
-
Beale, J.T.1
Kato, T.2
Majda, A.3
-
6
-
-
16244382542
-
Finite time singularities in a 1D model of the quasi-geostrophic equation
-
MR2141858 2006a:76116
-
Chae, D., Córdoba, A., Córdoba, D., and Fontelos, M. A., Finite time singularities in a 1D model of the quasi-geostrophic equation, Adv. Math. 194 (2005), 203-223. MR2141858 (2006a:76116)
-
(2005)
Adv. Math.
, vol.194
, pp. 203-223
-
-
Chae, D.1
Córdoba, A.2
Córdoba, D.3
Fontelos, M.A.4
-
7
-
-
0000579087
-
Nonsingular surface quasi-geostrophic flow
-
MR1613907 99a:76031
-
Constantin, P., Nie, Q., and Schörghofer, N., Nonsingular surface quasi-geostrophic flow, Phys. Lett. A 241 (1998), 168-172. MR1613907 (99a:76031)
-
(1998)
Phys. Lett. A
, vol.241
, pp. 168-172
-
-
Constantin, P.1
Nie, Q.2
Schörghofer, N.3
-
8
-
-
0002223508
-
On the critical dissipative quasi-geostrophic equation
-
MR1855665 2002h:35246
-
Constantin, P., Córdoba, D., and Wu, J., On the critical dissipative quasi-geostrophic equation, Indiana Univ. Math. J. 50, (2001), 97-107. MR1855665 (2002h:35246)
-
(2001)
Indiana Univ. Math. J.
, vol.50
, pp. 97-107
-
-
Constantin, P.1
Córdoba, D.2
Wu, J.3
-
9
-
-
84990556249
-
A simple one-dimensional model for the threedimensional vorticity equation
-
MR812343 87a:76037
-
Constantin, P., Lax, P., and Majda, A., A simple one-dimensional model for the threedimensional vorticity equation, Comm. Pure Appl. Math. 38 (1985), 715-724. MR812343 (87a:76037)
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 715-724
-
-
Constantin, P.1
Lax, P.2
Majda, A.3
-
10
-
-
0032264533
-
Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
-
MR1670077 2000j:76020
-
Córdoba, D., Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation, Ann. of Math. 148 (1998), 1135-1152. MR1670077 (2000j:76020)
-
(1998)
Ann. of Math.
, vol.148
, pp. 1135-1152
-
-
Córdoba, D.1
-
11
-
-
33745899606
-
Formation of singularities for a transport equation with nonlocal velocity
-
MR2179734 2007b:35011
-
Córdoba, A., Córdoba, D., and Fontelos, M. A., Formation of singularities for a transport equation with nonlocal velocity, Ann. of Math. 162 (2005) (3), 1377-1389. MR2179734 (2007b:35011)
-
(2005)
Ann. of Math.
, vol.162
, Issue.3
, pp. 1377-1389
-
-
Córdoba, A.1
Córdoba, D.2
Fontelos, M.A.3
-
12
-
-
33751328809
-
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation
-
MR2281451 2007k:35040
-
Córdoba, A., Córdoba, D., and Fontelos, M. A., Integral inequalities for the Hilbert transform applied to a nonlocal transport equation, J. Math. Pures Appl. 86 (2006) (6), 529-540. MR2281451 (2007k:35040)
-
(2006)
J. Math. Pures Appl.
, vol.86
, Issue.6
, pp. 529-540
-
-
Córdoba, A.1
Córdoba, D.2
Fontelos, M.A.3
-
13
-
-
0043172071
-
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
-
MR1304437 95i:76107
-
Constantin, P., Majda, A. J., and Tabak, E., Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Nonlinearity 7 (1994), no. 6, 1495-1533. MR1304437 (95i:76107)
-
(1994)
Nonlinearity
, vol.7
, Issue.6
, pp. 1495-1533
-
-
Constantin, P.1
Majda, A.J.2
Tabak, E.3
-
16
-
-
85088684211
-
Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space, to appear in
-
arXiv:math. AP/0701828
-
Dong, H., Du, D., Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space, to appear in Discrete Contin. Dyn. Syst., arXiv:math. AP/0701828.
-
Discrete Contin. Dyn. Syst.
-
-
Dong, H.1
Du, D.2
-
18
-
-
0030269759
-
A partial differential equation arising in a 1D model for the 3D vorticity equation
-
MR1410208 97i:76031
-
De Gregorio, S., A partial differential equation arising in a 1D model for the 3D vorticity equation, Math. Methods Appl. Sci. 19 (1996), 1233-1255. MR1410208 (97i:76031)
-
(1996)
Math. Methods Appl. Sci.
, vol.19
, pp. 1233-1255
-
-
De Gregorio, S.1
-
19
-
-
43749093532
-
Dissipative quasi-geostrophic equation: Local well-posedness, global regularity and similarity solutions
-
press
-
Ju, N., Dissipative quasi-geostrophic equation: local well-posedness, global regularity and similarity solutions, Indiana Univ. Math. J. (2006), in press.
-
(2006)
Indiana Univ. Math. J.
-
-
Ju, N.1
-
20
-
-
33846785446
-
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
-
MR2276260
-
Kiselev, A., Nazarov, F., and Volberg, A., Global well-posedness for the critical 2D dissipative quasi-geostrophic equation, Invent. Math. 167 (2007), no. 3, 445-453. MR2276260
-
(2007)
Invent. Math.
, vol.167
, Issue.3
, pp. 445-453
-
-
Kiselev, A.1
Nazarov, F.2
Volberg, A.3
-
21
-
-
0000669501
-
A two-dimensional model for quasi-geostrophic flow: Comparison with the two-dimensional Euler flow
-
MR1422288 97g:86005
-
Majda, A. J., Tabak, E. G., A two-dimensional model for quasi-geostrophic flow: comparison with the two-dimensional Euler flow, Physica D. 98 (1996), 515-522. MR1422288 (97g:86005)
-
(1996)
Physica D
, vol.98
, pp. 515-522
-
-
Majda, A.J.1
Tabak, E.G.2
-
22
-
-
0030876020
-
Inviscid and inviscid-limit behavior of a surface quasi-geostrophic flow
-
MR1437554 97m:76032
-
Ohkitani, K., Yamada, M., Inviscid and inviscid-limit behavior of a surface quasi-geostrophic flow, Phys. Fluids 9 (1997), 876-882. MR1437554 (97m:76032)
-
(1997)
Phys. Fluids
, vol.9
, pp. 876-882
-
-
Ohkitani, K.1
Yamada, M.2
-
24
-
-
0242340484
-
On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term
-
MR1986297 2004d:76029
-
Sakajo, T., On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term, Nonlinearity 16 (2003), 1319-1328. MR1986297 (2004d:76029)
-
(2003)
Nonlinearity
, vol.16
, pp. 1319-1328
-
-
Sakajo, T.1
-
25
-
-
84990556355
-
Explicit solutions of the viscous model vorticity equation
-
MR840339 87h:35322
-
Schochet, S., Explicit solutions of the viscous model vorticity equation, Comm. Pure Appl. Math. 41 (1986), 531-537. MR840339 (87h:35322)
-
(1986)
Comm. Pure Appl. Math.
, vol.41
, pp. 531-537
-
-
Schochet, S.1
-
26
-
-
0030577691
-
Behavior of solutions of model equations for incompressible fluid flow
-
MR1376063 97b:76045
-
Yang, Y., Behavior of solutions of model equations for incompressible fluid flow, J. Differential Equations 125 (1996), 133-153. MR1376063 (97b:76045)
-
(1996)
J. Differential Equations
, vol.125
, pp. 133-153
-
-
Yang, Y.1
|