-
1
-
-
0001356905
-
Sur la geometrié differentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluids parfaits
-
Arnold, V.: Sur la geometrié differentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluids parfaits. Ann. Inst. Fourier 16(1), 319-361 (1966)
-
(1966)
Ann. Inst. Fourier
, vol.16
, Issue.1
, pp. 319-361
-
-
Arnold, V.1
-
3
-
-
0001119719
-
The initial-value problem for Korteweg-de Vries equation
-
Bona, J.-L., Smith, R.: The initial-value problem for Korteweg-de Vries equation. Philos. Trans. R. Soc. London Ser. A, Math. Phys. Sci. 278, 555-601 (1975)
-
(1975)
Philos. Trans. R. Soc. London Ser. A, Math. Phys. Sci
, vol.278
, pp. 555-601
-
-
Bona, J.-L.1
Smith, R.2
-
4
-
-
77956834067
-
A mathematical model illustrating the theory of turbulence
-
Burgers, J.: A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171-199 (1948)
-
(1948)
Adv. Appl. Mech
, vol.1
, pp. 171-199
-
-
Burgers, J.1
-
5
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R., Holm, D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661-1664 (1993)
-
(1993)
Phys. Rev. Lett
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
6
-
-
0000213450
-
On the Cauchy problem for the periodic Camassa-Holm equation
-
Constantin, A.: On the Cauchy problem for the periodic Camassa-Holm equation. J. Differential Equations 141, 218-235 (1997)
-
(1997)
J. Differential Equations
, vol.141
, pp. 218-235
-
-
Constantin, A.1
-
7
-
-
0032374820
-
Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation
-
Constantin, A., Escher, J.: Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation. Comm. Pure Appl. Math. 51, 475-504 (1998)
-
(1998)
Comm. Pure Appl. Math
, vol.51
, pp. 475-504
-
-
Constantin, A.1
Escher, J.2
-
8
-
-
0034347295
-
On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
-
Constantin, A., Escher, J.: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation. Math. Z. 233, 75-91 (2000)
-
(2000)
Math. Z
, vol.233
, pp. 75-91
-
-
Constantin, A.1
Escher, J.2
-
9
-
-
0033415933
-
A shallow water equation on the circle
-
Constantin, A., McKean, H.: A shallow water equation on the circle. Comm. Pure Appl. Math. 52, 949-982 (1999)
-
(1999)
Comm. Pure Appl. Math
, vol.52
, pp. 949-982
-
-
Constantin, A.1
McKean, H.2
-
10
-
-
0042279206
-
On the geometric approach to the motion of inertial mechanical systems
-
Constantin, A., Kolev, B.: On the geometric approach to the motion of inertial mechanical systems. J. Phys. A 35, R51-R79 (2002)
-
(2002)
J. Phys. A
, vol.35
-
-
Constantin, A.1
Kolev, B.2
-
11
-
-
0242350978
-
Geodesic flow on the diffeomorphism group of the circle
-
Constantin, A., Kolev, B.: Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv. 78, 787-804 (2003)
-
(2003)
Comment. Math. Helv
, vol.78
, pp. 787-804
-
-
Constantin, A.1
Kolev, B.2
-
12
-
-
30644471049
-
Integrability of invariant metrics on the Virasoro group
-
Constantin, A., Kolev, B., Lenells, J.: Integrability of invariant metrics on the Virasoro group. Phys. Lett. A 350, 75-60 (2006)
-
(2006)
Phys. Lett. A
, vol.350
, pp. 75-60
-
-
Constantin, A.1
Kolev, B.2
Lenells, J.3
-
13
-
-
33847314226
-
-
De Lellis, C., Rappeler, T., Tbpalov, P.: Low regularity solutions of the Camassa-Holm equation (to appear in Comm. Partial Differential Equations)
-
De Lellis, C., Rappeler, T., Tbpalov, P.: Low regularity solutions of the Camassa-Holm equation (to appear in Comm. Partial Differential Equations)
-
-
-
-
14
-
-
33847303628
-
-
Deligne, P., Etingof, P.: Quantum Fields and Strings: a course for mathematicians, vols. 1 and 2. Amer. Math. Soc., Providence, RI; Institute for Advanced Study, Princeton, NJ (1999)
-
Deligne, P., Etingof, P.: Quantum Fields and Strings: a course for mathematicians, vols. 1 and 2. Amer. Math. Soc., Providence, RI; Institute for Advanced Study, Princeton, NJ (1999)
-
-
-
-
15
-
-
0001052255
-
Groups of diffeomorphisms and the motion of an incompressible fluid
-
Ebin, D., Marsden, J.: Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math. 92, 102-163 (1970)
-
(1970)
Ann. Math
, vol.92
, pp. 102-163
-
-
Ebin, D.1
Marsden, J.2
-
16
-
-
49049150360
-
Symplectic structures, their Bäcklund transformation and hereditary symmetries
-
Fokas, A., Fuchssteiner, B.: Symplectic structures, their Bäcklund transformation and hereditary symmetries. Physica D 4, 47-66 (1981)
-
(1981)
Physica D
, vol.4
, pp. 47-66
-
-
Fokas, A.1
Fuchssteiner, B.2
-
17
-
-
84966236065
-
The inverse function theorem of Nash and Moser
-
Hamilton, R.: The inverse function theorem of Nash and Moser. Bull. Amer. Math. Soc. 7, 66-222 (1982)
-
(1982)
Bull. Amer. Math. Soc
, vol.7
, pp. 66-222
-
-
Hamilton, R.1
-
18
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm, D., Marsden, J., Ratiu, T.: The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137, 1-81 (1998)
-
(1998)
Adv. Math
, vol.137
, pp. 1-81
-
-
Holm, D.1
Marsden, J.2
Ratiu, T.3
-
19
-
-
33847289805
-
-
Kappeier, T., Pöschel, J.: KdV&KAM. Springer-Verlag, Berlin (2003)
-
Kappeier, T., Pöschel, J.: KdV&KAM. Springer-Verlag, Berlin (2003)
-
-
-
-
20
-
-
33847287368
-
-
-1 (double struck T sign) (to appear in Duke Math. J.)
-
-1 (double struck T sign) (to appear in Duke Math. J.)
-
-
-
-
21
-
-
0016594542
-
The Cauchy problem for quasi-linear symmetric hyperbolic systems
-
Kato, T.: The Cauchy problem for quasi-linear symmetric hyperbolic systems. Arch. Rational Mech. Anal. 58, 181-205 (1975)
-
(1975)
Arch. Rational Mech. Anal
, vol.58
, pp. 181-205
-
-
Kato, T.1
-
22
-
-
0037612018
-
Euler equations on homogeneous spaces and Virasoro orbits
-
Khesin, B., Misiolek, G.: Euler equations on homogeneous spaces and Virasoro orbits. Adv. Math. 176, 116-144 (2003)
-
(2003)
Adv. Math
, vol.176
, pp. 116-144
-
-
Khesin, B.1
Misiolek, G.2
-
23
-
-
0011879223
-
Commuting diffeomorphisms
-
Amer. Math. Soc
-
Kopell, N.: Commuting diffeomorphisms. (Proc. Sympos. Pure Math). Amer. Math. Soc. 14, 165-184 (1970)
-
(1970)
(Proc. Sympos. Pure Math)
, vol.14
, pp. 165-184
-
-
Kopell, N.1
-
24
-
-
0033483085
-
The Camassa-Holm equation as a geodesic flow on the diffeomorphism group
-
Kouranbaeva, S.: The Camassa-Holm equation as a geodesic flow on the diffeomorphism group. J. Math. Phys. 40, 857-868 (1999)
-
(1999)
J. Math. Phys
, vol.40
, pp. 857-868
-
-
Kouranbaeva, S.1
-
25
-
-
33847266368
-
-
24a. Kriegl, A., Michor, P.: The convenient setting of global analysis. Math. Surveys and Monographs, Amar. Math. Soc. 53 (1997)
-
24a. Kriegl, A., Michor, P.: The convenient setting of global analysis. Math. Surveys and Monographs, Amar. Math. Soc. 53 (1997)
-
-
-
-
27
-
-
13244273595
-
The correspondence between KdV and Camassa-Holm
-
Lenells, J.: The correspondence between KdV and Camassa-Holm. Int. Math. Res. Not. 71, 3797-3811 (2004)
-
(2004)
Int. Math. Res. Not
, vol.71
, pp. 3797-3811
-
-
Lenells, J.1
-
28
-
-
2442552977
-
The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies
-
McKean, H.P.: The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies. Comm. Pure Appl. Math. 56, 998-1015 (2003)
-
(2003)
Comm. Pure Appl. Math
, vol.56
, pp. 998-1015
-
-
McKean, H.P.1
-
29
-
-
22444453467
-
On the geometry of the Virasoro-Bott group
-
Michor, P., Ratiu, T.: On the geometry of the Virasoro-Bott group. J. Lie Theory 8, 293-309 (1998)
-
(1998)
J. Lie Theory
, vol.8
, pp. 293-309
-
-
Michor, P.1
Ratiu, T.2
-
30
-
-
0001335921
-
Remarks on infinite-dimensional Lie groups
-
Elsevier Science Publishers, Amsterdam
-
Milnor, J.: Remarks on infinite-dimensional Lie groups. Les Houches, Session XL, 1983, Elsevier Science Publishers, Amsterdam (1984)
-
(1984)
Les Houches, Session XL, 1983
-
-
Milnor, J.1
-
31
-
-
0031989845
-
-
Misiolek, G.: A shallow water equation as a geodesic flow on the Bott-Virasoro group. I Geom. Phys. 24, 203-208 (1998)
-
Misiolek, G.: A shallow water equation as a geodesic flow on the Bott-Virasoro group. I Geom. Phys. 24, 203-208 (1998)
-
-
-
-
32
-
-
0036436154
-
Classical solutions of the periodic Camassa-Holm equation
-
Misiolek, G.: Classical solutions of the periodic Camassa-Holm equation. Geom. Funct. Anal. 12, 1080-1104 (2002)
-
(2002)
Geom. Funct. Anal
, vol.12
, pp. 1080-1104
-
-
Misiolek, G.1
-
33
-
-
34250093431
-
Korteweg-de Vries superequations as an Euler equation
-
Ovsienko, V., Khesin, B.: Korteweg-de Vries superequations as an Euler equation. Funct. Anal. Appl. 21, 81-82 (1987)
-
(1987)
Funct. Anal. Appl
, vol.21
, pp. 81-82
-
-
Ovsienko, V.1
Khesin, B.2
|