-
3
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
Beale J. T., Kato T., Majda A.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys. 94, 61-66 (1984).
-
(1984)
Commun. Math. Phys.
, vol.94
, pp. 61-66
-
-
Beale, J.T.1
Kato, T.2
Majda, A.3
-
4
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa R., Holm D. 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.D.2
-
5
-
-
33847253064
-
On geodesic exponential maps of the Virasoro group
-
Constantin A., Kappeler T., Kolev B., Topalov P.: On geodesic exponential maps of the Virasoro group. Ann. Global Anal. Geom. 31, 155-180 (2007).
-
(2007)
Ann. Global Anal. Geom.
, vol.31
, pp. 155-180
-
-
Constantin, A.1
Kappeler, T.2
Kolev, B.3
Topalov, P.4
-
7
-
-
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
-
8
-
-
81555201634
-
The Degasperis-Procesi equation as a non-metric Euler equation
-
doi: 10. 1007/s00209-010-0778-2
-
Escher, J., Kolev, B.: The Degasperis-Procesi equation as a non-metric Euler equation. Math. Z. doi: 10. 1007/s00209-010-0778-2 (2009).
-
(2009)
Math. Z
-
-
Escher, J.1
Kolev, B.2
-
9
-
-
84998547969
-
Momentum maps and measure-valued solutions (peakons, filaments and sheets) for the EPDiff equation
-
Holm D., Marsden J. E.: Momentum maps and measure-valued solutions (peakons, filaments and sheets) for the EPDiff equation. Progr. Math. 232, 203-235 (2004).
-
(2004)
Progr. Math.
, vol.232
, pp. 203-235
-
-
Holm, D.1
Marsden, J.E.2
-
10
-
-
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 (1997).
-
(1997)
Adv. Math.
, vol.137
, pp. 1-81
-
-
Holm, D.1
Marsden, J.2
Ratiu, T.3
-
12
-
-
33746373002
-
Geometrical theory of dynamical systems and fluid flows
-
World Scientific, Singapore
-
Kambe, T.: Geometrical theory of dynamical systems and fluid flows. In: Advanced Series in Nonlinear Dynamics, vol. 23. World Scientific, Singapore (2004).
-
(2004)
Advanced Series in Nonlinear Dynamics
, vol.23
-
-
Kambe, T.1
-
13
-
-
0037612018
-
Euler equations on homogeneous spaces and Virasoro orbits
-
Khesin B., Misiołek 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
Misiołek, G.2
-
14
-
-
50849122333
-
Generalized Hunter-Saxton equation and geometry of the circle diffeomorphism group
-
Khesin B., Lenells J., Misiołek G.: Generalized Hunter-Saxton equation and geometry of the circle diffeomorphism group. Math. Ann. 342, 617-656 (2008).
-
(2008)
Math. Ann.
, vol.342
, pp. 617-656
-
-
Khesin, B.1
Lenells, J.2
Misiołek, G.3
-
15
-
-
35748939866
-
The geometry of infinite-dimensional groups
-
Springer, New York
-
Khesin, B., Wendt, R.: The geometry of infinite-dimensional groups. Ergebnisse der Mathematik, vol. 51. Springer, New York (2008).
-
(2008)
Ergebnisse der Mathematik
, vol.51
-
-
Khesin, B.1
Wendt, R.2
-
16
-
-
79956101764
-
-
Preprint
-
Khesin, B., Lenells, J., Misiołek, G., Preston, S.: Sobolev geometry of the space of densities: geodesics, integrability and optimal transport. Preprint (2009).
-
(2009)
Sobolev geometry of the space of densities: Geodesics, integrability and optimal transport
-
-
Khesin, B.1
Lenells, J.2
Misiołek, G.3
Preston, S.4
-
17
-
-
77955550646
-
Integrable evolution equations on spaces of tensor densities and their peakon solutions
-
Lenells J., Misiołek G., Ti{dotless}ǧlay F.: Integrable evolution equations on spaces of tensor densities and their peakon solutions. Commun. Math. Phys. 299, 129-161 (2010).
-
(2010)
Commun. Math. Phys.
, vol.299
, pp. 129-161
-
-
Lenells, J.1
Misiołek, G.2
Tiǧlay, F.3
-
19
-
-
0001168352
-
The reduced Euler-Lagrange equations
-
Marsden J. E., Scheurle J.: The reduced Euler-Lagrange equations. Fields Inst. Comm. 1, 139-164 (1993).
-
(1993)
Fields Inst. Comm.
, vol.1
, pp. 139-164
-
-
Marsden, J.E.1
Scheurle, J.2
-
20
-
-
0036436154
-
Classical solutions of the periodic Camassa-Holm equation
-
Misiołek 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
-
-
Misiołek, G.1
-
21
-
-
77951203607
-
Fredholm properties of Riemannian exponential maps on diffeomorphism groups
-
Misiołek G., Preston S. C.: Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Invent. Math. 179, 191-227 (2010).
-
(2010)
Invent. Math.
, vol.179
, pp. 191-227
-
-
Misiołek, G.1
Preston, S.C.2
-
22
-
-
6344247445
-
Coadjoint representation of Virasoro-type Lie algebras and differential operators on tensor-densities
-
Birkhauser, Basel
-
Ovsienko, V.: Coadjoint representation of Virasoro-type Lie algebras and differential operators on tensor-densities. DMV Sem. vol. 31, pp. 231-255. Birkhauser, Basel (2001).
-
(2001)
DMV Sem
, vol.31
, pp. 231-255
-
-
Ovsienko, V.1
-
23
-
-
0003203437
-
Pseudodifferential operators and nonlinear PDE
-
Birkhäuser, Boston
-
Taylor, M. E.: Pseudodifferential operators and nonlinear PDE. In: Progress in Mathematics, vol. 100. Birkhäuser, Boston (1991).
-
(1991)
Progress in Mathematics
, vol.100
-
-
Taylor, M.E.1
-
24
-
-
83055180412
-
Geodesic equations on diffeomorphism groups
-
Vizman C.: Geodesic equations on diffeomorphism groups. SIGMA 4, 030 (2008).
-
(2008)
Sigma
, vol.4
, pp. 030
-
-
Vizman, C.1
|